[{"abstract":[{"lang":"eng","text":"Phonons in solid-state quantum emitters play a crucial role in their performance as photon sources in quantum technology. For resonant driving, phonons dampen the Rabi oscillations resulting in reduced preparation fidelities. The phonon spectral density, which quantifies the strength of the carrier-phonon interaction, is non-monotonous as a function of energy. As one of the most prominent consequences, this leads to the reappearance of Rabi rotations for increasing pulse power, which was theoretically predicted in Phys. Rev. Lett. 98, 227403 (2007). In this paper we present the experimental demonstration of the reappearance of Rabi rotations."}],"citation":{"mla":"Hanschke, L., et al. “Experimental Measurement of the Reappearance of Rabi Rotations in Semiconductor Quantum Dots.” <i>ArXiv:2409.19167</i>, 2024.","ama":"Hanschke L, Bracht TK, Schöll E, et al. Experimental measurement of the reappearance of Rabi rotations in semiconductor quantum dots. <i>arXiv:240919167</i>. Published online 2024.","bibtex":"@article{Hanschke_Bracht_Schöll_Bauch_Berger_Kallert_Peter_Garcia_Silva_Manna_et al._2024, title={Experimental measurement of the reappearance of Rabi rotations in semiconductor quantum dots}, journal={arXiv:2409.19167}, author={Hanschke, L. and Bracht, T. K. and Schöll, E. and Bauch, David and Berger, Eva and Kallert, Patricia and Peter, M. and Garcia, A. J. and Silva, S. F. Covre da and Manna, S. and et al.}, year={2024} }","apa":"Hanschke, L., Bracht, T. K., Schöll, E., Bauch, D., Berger, E., Kallert, P., Peter, M., Garcia, A. J., Silva, S. F. C. da, Manna, S., Rastelli, A., Schumacher, S., Reiter, D. E., &#38; Jöns, K. (2024). Experimental measurement of the reappearance of Rabi rotations in semiconductor quantum dots. In <i>arXiv:2409.19167</i>.","ieee":"L. Hanschke <i>et al.</i>, “Experimental measurement of the reappearance of Rabi rotations in semiconductor quantum dots,” <i>arXiv:2409.19167</i>. 2024.","short":"L. Hanschke, T.K. Bracht, E. Schöll, D. Bauch, E. Berger, P. Kallert, M. Peter, A.J. Garcia, S.F.C. da Silva, S. Manna, A. Rastelli, S. Schumacher, D.E. Reiter, K. Jöns, ArXiv:2409.19167 (2024).","chicago":"Hanschke, L., T. K. Bracht, E. Schöll, David Bauch, Eva Berger, Patricia Kallert, M. Peter, et al. “Experimental Measurement of the Reappearance of Rabi Rotations in Semiconductor Quantum Dots.” <i>ArXiv:2409.19167</i>, 2024."},"publication":"arXiv:2409.19167","department":[{"_id":"623"},{"_id":"15"},{"_id":"429"},{"_id":"642"}],"type":"preprint","date_created":"2025-12-04T12:16:58Z","external_id":{"arxiv":["2409.19167"]},"date_updated":"2025-12-11T12:54:41Z","author":[{"full_name":"Hanschke, L.","first_name":"L.","last_name":"Hanschke"},{"first_name":"T. K.","last_name":"Bracht","full_name":"Bracht, T. K."},{"full_name":"Schöll, E.","first_name":"E.","last_name":"Schöll"},{"id":"44172","full_name":"Bauch, David","first_name":"David","last_name":"Bauch"},{"full_name":"Berger, Eva","first_name":"Eva","last_name":"Berger"},{"first_name":"Patricia","last_name":"Kallert","full_name":"Kallert, Patricia"},{"last_name":"Peter","first_name":"M.","full_name":"Peter, M."},{"full_name":"Garcia, A. J.","first_name":"A. J.","last_name":"Garcia"},{"last_name":"Silva","first_name":"S. F. Covre da","full_name":"Silva, S. F. Covre da"},{"full_name":"Manna, S.","last_name":"Manna","first_name":"S."},{"full_name":"Rastelli, A.","last_name":"Rastelli","first_name":"A."},{"id":"27271","full_name":"Schumacher, Stefan","orcid":"0000-0003-4042-4951","last_name":"Schumacher","first_name":"Stefan"},{"full_name":"Reiter, D. E.","last_name":"Reiter","first_name":"D. E."},{"full_name":"Jöns, Klaus","first_name":"Klaus","last_name":"Jöns","id":"85353"}],"title":"Experimental measurement of the reappearance of Rabi rotations in semiconductor quantum dots","status":"public","year":"2024","user_id":"48188","_id":"62858","language":[{"iso":"eng"}]},{"status":"public","user_id":"27150","volume":110,"_id":"63219","publisher":"American Physical Society (APS)","citation":{"mla":"Teo, Y. S., et al. “Relative-Belief Inference in Quantum Information Theory.” <i>Physical Review A</i>, vol. 110, no. 1, 012231, American Physical Society (APS), 2024, doi:<a href=\"https://doi.org/10.1103/physreva.110.012231\">10.1103/physreva.110.012231</a>.","bibtex":"@article{Teo_Shringarpure_Jeong_Prasannan_Brecht_Silberhorn_Evans_Mogilevtsev_Sánchez-Soto_2024, title={Relative-belief inference in quantum information theory}, volume={110}, DOI={<a href=\"https://doi.org/10.1103/physreva.110.012231\">10.1103/physreva.110.012231</a>}, number={1012231}, journal={Physical Review A}, publisher={American Physical Society (APS)}, author={Teo, Y. S. and Shringarpure, S. U. and Jeong, H. and Prasannan, Nidhin and Brecht, Benjamin and Silberhorn, Christine and Evans, M. and Mogilevtsev, D. and Sánchez-Soto, L. L.}, year={2024} }","ama":"Teo YS, Shringarpure SU, Jeong H, et al. Relative-belief inference in quantum information theory. <i>Physical Review A</i>. 2024;110(1). doi:<a href=\"https://doi.org/10.1103/physreva.110.012231\">10.1103/physreva.110.012231</a>","ieee":"Y. S. Teo <i>et al.</i>, “Relative-belief inference in quantum information theory,” <i>Physical Review A</i>, vol. 110, no. 1, Art. no. 012231, 2024, doi: <a href=\"https://doi.org/10.1103/physreva.110.012231\">10.1103/physreva.110.012231</a>.","apa":"Teo, Y. S., Shringarpure, S. U., Jeong, H., Prasannan, N., Brecht, B., Silberhorn, C., Evans, M., Mogilevtsev, D., &#38; Sánchez-Soto, L. L. (2024). Relative-belief inference in quantum information theory. <i>Physical Review A</i>, <i>110</i>(1), Article 012231. <a href=\"https://doi.org/10.1103/physreva.110.012231\">https://doi.org/10.1103/physreva.110.012231</a>","short":"Y.S. Teo, S.U. Shringarpure, H. Jeong, N. Prasannan, B. Brecht, C. Silberhorn, M. Evans, D. Mogilevtsev, L.L. Sánchez-Soto, Physical Review A 110 (2024).","chicago":"Teo, Y. S., S. U. Shringarpure, H. Jeong, Nidhin Prasannan, Benjamin Brecht, Christine Silberhorn, M. Evans, D. Mogilevtsev, and L. L. Sánchez-Soto. “Relative-Belief Inference in Quantum Information Theory.” <i>Physical Review A</i> 110, no. 1 (2024). <a href=\"https://doi.org/10.1103/physreva.110.012231\">https://doi.org/10.1103/physreva.110.012231</a>."},"publication_status":"published","date_updated":"2025-12-18T16:12:40Z","intvolume":"       110","year":"2024","title":"Relative-belief inference in quantum information theory","author":[{"last_name":"Teo","first_name":"Y. S.","full_name":"Teo, Y. S."},{"first_name":"S. U.","last_name":"Shringarpure","full_name":"Shringarpure, S. U."},{"full_name":"Jeong, H.","last_name":"Jeong","first_name":"H."},{"first_name":"Nidhin","last_name":"Prasannan","full_name":"Prasannan, Nidhin","id":"71403"},{"id":"27150","first_name":"Benjamin","last_name":"Brecht","orcid":"0000-0003-4140-0556 ","full_name":"Brecht, Benjamin"},{"full_name":"Silberhorn, Christine","first_name":"Christine","last_name":"Silberhorn","id":"26263"},{"first_name":"M.","last_name":"Evans","full_name":"Evans, M."},{"full_name":"Mogilevtsev, D.","first_name":"D.","last_name":"Mogilevtsev"},{"last_name":"Sánchez-Soto","first_name":"L. L.","full_name":"Sánchez-Soto, L. L."}],"publication_identifier":{"issn":["2469-9926","2469-9934"]},"doi":"10.1103/physreva.110.012231","article_number":"012231","language":[{"iso":"eng"}],"abstract":[{"text":"<jats:p>We introduce the framework of Bayesian relative belief that directly evaluates whether or not the experimental data at hand support a given hypothesis regarding a quantum system by directly comparing the prior and posterior probabilities for the hypothesis. In model-dimension certification tasks, we show that the relative-belief procedure typically chooses Hilbert spaces that are never smaller in dimension than those selected from optimizing a broad class of information criteria, including Akaike's criterion. As a concrete and focused exposition of this powerful evidence-based technique, we apply the relative-belief procedure to an important application: . In particular, just by comparing prior and posterior probabilities based on data, we demonstrate its capability of tracking multiphoton emissions using (realistically lossy) single-photon detectors in order to assess the actual quality of photon sources without making  assumptions, thereby reliably safeguarding source integrity for general quantum-information and communication tasks with Bayesian reasoning. Finally, we discuss how relative belief can be exploited to carry out parametric model certification and estimate the total dimension of the quantum state for the combined (measured) physical and interacting external systems described by the Tavis-Cummings model.</jats:p>\r\n          <jats:sec>\r\n            <jats:title/>\r\n            <jats:supplementary-material>\r\n              <jats:permissions>\r\n                <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement>\r\n                <jats:copyright-year>2024</jats:copyright-year>\r\n              </jats:permissions>\r\n            </jats:supplementary-material>\r\n          </jats:sec>","lang":"eng"}],"publication":"Physical Review A","issue":"1","type":"journal_article","department":[{"_id":"15"},{"_id":"623"}],"date_created":"2025-12-18T16:12:21Z"},{"doi":"10.1103/physrevlett.133.050204","article_number":"050204","language":[{"iso":"eng"}],"date_updated":"2025-12-18T16:13:14Z","publication_status":"published","intvolume":"       133","year":"2024","title":"Evidence-Based Certification of Quantum Dimensions","publication_identifier":{"issn":["0031-9007","1079-7114"]},"author":[{"first_name":"Y. S.","last_name":"Teo","full_name":"Teo, Y. S."},{"first_name":"S. U.","last_name":"Shringarpure","full_name":"Shringarpure, S. U."},{"first_name":"H.","last_name":"Jeong","full_name":"Jeong, H."},{"full_name":"Prasannan, Nidhin","first_name":"Nidhin","last_name":"Prasannan","id":"71403"},{"id":"27150","full_name":"Brecht, Benjamin","orcid":"0000-0003-4140-0556 ","first_name":"Benjamin","last_name":"Brecht"},{"id":"26263","first_name":"Christine","last_name":"Silberhorn","full_name":"Silberhorn, Christine"},{"last_name":"Evans","first_name":"M.","full_name":"Evans, M."},{"last_name":"Mogilevtsev","first_name":"D.","full_name":"Mogilevtsev, D."},{"full_name":"Sánchez-Soto, L. L.","first_name":"L. L.","last_name":"Sánchez-Soto"}],"type":"journal_article","department":[{"_id":"15"},{"_id":"623"}],"date_created":"2025-12-18T16:13:00Z","abstract":[{"lang":"eng","text":"<jats:p>Identifying a reasonably small Hilbert space that completely describes an unknown quantum state is crucial for efficient quantum information processing. We introduce a general dimension-certification protocol for both discrete and continuous variables that is fully evidence based, relying solely on the experimental data collected and no other unjustified assumptions whatsoever. Using the Bayesian concept of relative belief, we take the effective dimension of the state as the smallest one such that the posterior probability is larger than the prior, as dictated by the data. The posterior probabilities associated with the relative-belief ratios measure the strength of the evidence provide by these ratios so that we can assess whether there is weak or strong evidence in favor or against a particular dimension. Using experimental data from spectral-temporal and polarimetry measurements, we demonstrate how to correctly assign Bayesian plausible error bars for the obtained effective dimensions. This makes relative belief a conservative and easy-to-use model-selection method for any experiment.</jats:p>\r\n          <jats:sec>\r\n            <jats:title/>\r\n            <jats:supplementary-material>\r\n              <jats:permissions>\r\n                <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement>\r\n                <jats:copyright-year>2024</jats:copyright-year>\r\n              </jats:permissions>\r\n            </jats:supplementary-material>\r\n          </jats:sec>"}],"issue":"5","publication":"Physical Review Letters","user_id":"27150","volume":133,"publisher":"American Physical Society (APS)","_id":"63220","status":"public","citation":{"mla":"Teo, Y. S., et al. “Evidence-Based Certification of Quantum Dimensions.” <i>Physical Review Letters</i>, vol. 133, no. 5, 050204, American Physical Society (APS), 2024, doi:<a href=\"https://doi.org/10.1103/physrevlett.133.050204\">10.1103/physrevlett.133.050204</a>.","apa":"Teo, Y. S., Shringarpure, S. U., Jeong, H., Prasannan, N., Brecht, B., Silberhorn, C., Evans, M., Mogilevtsev, D., &#38; Sánchez-Soto, L. L. (2024). Evidence-Based Certification of Quantum Dimensions. <i>Physical Review Letters</i>, <i>133</i>(5), Article 050204. <a href=\"https://doi.org/10.1103/physrevlett.133.050204\">https://doi.org/10.1103/physrevlett.133.050204</a>","ieee":"Y. S. Teo <i>et al.</i>, “Evidence-Based Certification of Quantum Dimensions,” <i>Physical Review Letters</i>, vol. 133, no. 5, Art. no. 050204, 2024, doi: <a href=\"https://doi.org/10.1103/physrevlett.133.050204\">10.1103/physrevlett.133.050204</a>.","chicago":"Teo, Y. S., S. U. Shringarpure, H. Jeong, Nidhin Prasannan, Benjamin Brecht, Christine Silberhorn, M. Evans, D. Mogilevtsev, and L. L. Sánchez-Soto. “Evidence-Based Certification of Quantum Dimensions.” <i>Physical Review Letters</i> 133, no. 5 (2024). <a href=\"https://doi.org/10.1103/physrevlett.133.050204\">https://doi.org/10.1103/physrevlett.133.050204</a>.","short":"Y.S. Teo, S.U. Shringarpure, H. Jeong, N. Prasannan, B. Brecht, C. Silberhorn, M. Evans, D. Mogilevtsev, L.L. Sánchez-Soto, Physical Review Letters 133 (2024).","ama":"Teo YS, Shringarpure SU, Jeong H, et al. Evidence-Based Certification of Quantum Dimensions. <i>Physical Review Letters</i>. 2024;133(5). doi:<a href=\"https://doi.org/10.1103/physrevlett.133.050204\">10.1103/physrevlett.133.050204</a>","bibtex":"@article{Teo_Shringarpure_Jeong_Prasannan_Brecht_Silberhorn_Evans_Mogilevtsev_Sánchez-Soto_2024, title={Evidence-Based Certification of Quantum Dimensions}, volume={133}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.133.050204\">10.1103/physrevlett.133.050204</a>}, number={5050204}, journal={Physical Review Letters}, publisher={American Physical Society (APS)}, author={Teo, Y. S. and Shringarpure, S. U. and Jeong, H. and Prasannan, Nidhin and Brecht, Benjamin and Silberhorn, Christine and Evans, M. and Mogilevtsev, D. and Sánchez-Soto, L. L.}, year={2024} }"}},{"status":"public","_id":"63248","publisher":"Springer Science and Business Media LLC","page":"3023-3054","volume":391,"user_id":"31496","citation":{"bibtex":"@article{Winkler_2024, title={Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system}, volume={391}, DOI={<a href=\"https://doi.org/10.1007/s00208-024-02987-6\">10.1007/s00208-024-02987-6</a>}, number={2}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2024}, pages={3023–3054} }","ama":"Winkler M. Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system. <i>Mathematische Annalen</i>. 2024;391(2):3023-3054. doi:<a href=\"https://doi.org/10.1007/s00208-024-02987-6\">10.1007/s00208-024-02987-6</a>","mla":"Winkler, Michael. “Externally Forced Blow-up and Optimal Spaces for Source Regularity in the Two-Dimensional Navier–Stokes System.” <i>Mathematische Annalen</i>, vol. 391, no. 2, Springer Science and Business Media LLC, 2024, pp. 3023–54, doi:<a href=\"https://doi.org/10.1007/s00208-024-02987-6\">10.1007/s00208-024-02987-6</a>.","chicago":"Winkler, Michael. “Externally Forced Blow-up and Optimal Spaces for Source Regularity in the Two-Dimensional Navier–Stokes System.” <i>Mathematische Annalen</i> 391, no. 2 (2024): 3023–54. <a href=\"https://doi.org/10.1007/s00208-024-02987-6\">https://doi.org/10.1007/s00208-024-02987-6</a>.","short":"M. Winkler, Mathematische Annalen 391 (2024) 3023–3054.","ieee":"M. Winkler, “Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system,” <i>Mathematische Annalen</i>, vol. 391, no. 2, pp. 3023–3054, 2024, doi: <a href=\"https://doi.org/10.1007/s00208-024-02987-6\">10.1007/s00208-024-02987-6</a>.","apa":"Winkler, M. (2024). Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system. <i>Mathematische Annalen</i>, <i>391</i>(2), 3023–3054. <a href=\"https://doi.org/10.1007/s00208-024-02987-6\">https://doi.org/10.1007/s00208-024-02987-6</a>"},"publication_identifier":{"issn":["0025-5831","1432-1807"]},"author":[{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"}],"year":"2024","title":"Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system","intvolume":"       391","date_updated":"2025-12-18T20:13:05Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1007/s00208-024-02987-6","publication":"Mathematische Annalen","issue":"2","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n          <jats:p>The Navier–Stokes system <jats:disp-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l} u_t + (u\\cdot \\nabla ) u =\\Delta u+\\nabla P + f(x,t), \\\\ \\nabla \\cdot u=0, \\end{array} \\right. \\end{aligned}$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n                          <mml:mfenced>\r\n                            <mml:mrow>\r\n                              <mml:mtable>\r\n                                <mml:mtr>\r\n                                  <mml:mtd>\r\n                                    <mml:mrow>\r\n                                      <mml:msub>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mi>t</mml:mi>\r\n                                      </mml:msub>\r\n                                      <mml:mo>+</mml:mo>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mo>·</mml:mo>\r\n                                        <mml:mi>∇</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mi>u</mml:mi>\r\n                                      <mml:mo>=</mml:mo>\r\n                                      <mml:mi>Δ</mml:mi>\r\n                                      <mml:mi>u</mml:mi>\r\n                                      <mml:mo>+</mml:mo>\r\n                                      <mml:mi>∇</mml:mi>\r\n                                      <mml:mi>P</mml:mi>\r\n                                      <mml:mo>+</mml:mo>\r\n                                      <mml:mi>f</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>x</mml:mi>\r\n                                        <mml:mo>,</mml:mo>\r\n                                        <mml:mi>t</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>,</mml:mo>\r\n                                    </mml:mrow>\r\n                                  </mml:mtd>\r\n                                </mml:mtr>\r\n                                <mml:mtr>\r\n                                  <mml:mtd>\r\n                                    <mml:mrow>\r\n                                      <mml:mrow/>\r\n                                      <mml:mi>∇</mml:mi>\r\n                                      <mml:mo>·</mml:mo>\r\n                                      <mml:mi>u</mml:mi>\r\n                                      <mml:mo>=</mml:mo>\r\n                                      <mml:mn>0</mml:mn>\r\n                                      <mml:mo>,</mml:mo>\r\n                                    </mml:mrow>\r\n                                  </mml:mtd>\r\n                                </mml:mtr>\r\n                              </mml:mtable>\r\n                            </mml:mrow>\r\n                          </mml:mfenced>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:disp-formula>is considered along with homogeneous Dirichlet boundary conditions in a smoothly bounded planar domain <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\Omega $$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mi>Ω</mml:mi>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>. It is firstly, inter alia, observed that if <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$T&gt;0$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>T</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> and <jats:disp-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\begin{aligned} \\int _0^T \\bigg \\{ \\int _\\Omega |f(x,t)| \\cdot \\ln ^\\frac{1}{2} \\big (|f(x,t)|+1\\big ) dx \\bigg \\}^2 dt &lt;\\infty , \\end{aligned}$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n                          <mml:mrow>\r\n                            <mml:msubsup>\r\n                              <mml:mo>∫</mml:mo>\r\n                              <mml:mn>0</mml:mn>\r\n                              <mml:mi>T</mml:mi>\r\n                            </mml:msubsup>\r\n                            <mml:mrow>\r\n                              <mml:mo>{</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mo>∫</mml:mo>\r\n                              <mml:mi>Ω</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                              <mml:mi>f</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>x</mml:mi>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>t</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mo>·</mml:mo>\r\n                            <mml:msup>\r\n                              <mml:mo>ln</mml:mo>\r\n                              <mml:mfrac>\r\n                                <mml:mn>1</mml:mn>\r\n                                <mml:mn>2</mml:mn>\r\n                              </mml:mfrac>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                              <mml:mi>f</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>x</mml:mi>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>t</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mo>+</mml:mo>\r\n                            <mml:mn>1</mml:mn>\r\n                            <mml:mrow>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mi>d</mml:mi>\r\n                            <mml:mi>x</mml:mi>\r\n                            <mml:msup>\r\n                              <mml:mrow>\r\n                                <mml:mo>}</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mi>d</mml:mi>\r\n                            <mml:mi>t</mml:mi>\r\n                            <mml:mo>&lt;</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\r\n                            <mml:mo>,</mml:mo>\r\n                          </mml:mrow>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:disp-formula>then for all divergence-free <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$u_0\\in L^2(\\Omega ;{\\mathbb {R}}^2)$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mi>u</mml:mi>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>L</mml:mi>\r\n                      <mml:mn>2</mml:mn>\r\n                    </mml:msup>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mi>Ω</mml:mi>\r\n                      <mml:mo>;</mml:mo>\r\n                      <mml:msup>\r\n                        <mml:mrow>\r\n                          <mml:mi>R</mml:mi>\r\n                        </mml:mrow>\r\n                        <mml:mn>2</mml:mn>\r\n                      </mml:msup>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>, a corresponding initial-boundary value problem admits a weak solution <jats:italic>u</jats:italic> with <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$u|_{t=0}=u_0$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mi>u</mml:mi>\r\n                        <mml:mo>|</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mrow>\r\n                        <mml:mi>t</mml:mi>\r\n                        <mml:mo>=</mml:mo>\r\n                        <mml:mn>0</mml:mn>\r\n                      </mml:mrow>\r\n                    </mml:msub>\r\n                    <mml:mo>=</mml:mo>\r\n                    <mml:msub>\r\n                      <mml:mi>u</mml:mi>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>. For any positive and nondecreasing <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$L\\in C^0([0,\\infty ))$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>L</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msup>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mrow>\r\n                        <mml:mo>[</mml:mo>\r\n                        <mml:mn>0</mml:mn>\r\n                        <mml:mo>,</mml:mo>\r\n                        <mml:mi>∞</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> such that <jats:disp-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\begin{aligned} \\frac{L(\\xi )}{\\ln ^\\frac{1}{2} \\xi } \\rightarrow 0 \\qquad \\text{ as } \\xi \\rightarrow \\infty , \\end{aligned}$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n                          <mml:mrow>\r\n                            <mml:mfrac>\r\n                              <mml:mrow>\r\n                                <mml:mi>L</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>ξ</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mrow>\r\n                                <mml:msup>\r\n                                  <mml:mo>ln</mml:mo>\r\n                                  <mml:mfrac>\r\n                                    <mml:mn>1</mml:mn>\r\n                                    <mml:mn>2</mml:mn>\r\n                                  </mml:mfrac>\r\n                                </mml:msup>\r\n                                <mml:mi>ξ</mml:mi>\r\n                              </mml:mrow>\r\n                            </mml:mfrac>\r\n                            <mml:mo>→</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mspace/>\r\n                            <mml:mspace/>\r\n                            <mml:mtext>as</mml:mtext>\r\n                            <mml:mspace/>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mo>→</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\r\n                            <mml:mo>,</mml:mo>\r\n                          </mml:mrow>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:disp-formula>this is complemented by a statement on nonexistence of such a solution in the presence of smooth initial data and a suitably constructed <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$f:\\Omega \\times (0,T)\\rightarrow {\\mathbb {R}}^2$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>f</mml:mi>\r\n                    <mml:mo>:</mml:mo>\r\n                    <mml:mi>Ω</mml:mi>\r\n                    <mml:mo>×</mml:mo>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mn>0</mml:mn>\r\n                      <mml:mo>,</mml:mo>\r\n                      <mml:mi>T</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                    <mml:mo>→</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mrow>\r\n                        <mml:mi>R</mml:mi>\r\n                      </mml:mrow>\r\n                      <mml:mn>2</mml:mn>\r\n                    </mml:msup>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> fulfilling <jats:disp-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\begin{aligned} \\int _0^T \\bigg \\{ \\int _\\Omega |f(x,t)| \\cdot L\\big (|f(x,t)|\\big ) dx \\bigg \\}^2 dt &lt; \\infty . \\end{aligned}$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n                          <mml:mrow>\r\n                            <mml:msubsup>\r\n                              <mml:mo>∫</mml:mo>\r\n                              <mml:mn>0</mml:mn>\r\n                              <mml:mi>T</mml:mi>\r\n                            </mml:msubsup>\r\n                            <mml:mrow>\r\n                              <mml:mo>{</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:msub>\r\n                              <mml:mo>∫</mml:mo>\r\n                              <mml:mi>Ω</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                              <mml:mi>f</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>x</mml:mi>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>t</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mo>·</mml:mo>\r\n                            <mml:mrow>\r\n                              <mml:mi>L</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mo>(</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                              <mml:mi>f</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>x</mml:mi>\r\n                                <mml:mo>,</mml:mo>\r\n                                <mml:mi>t</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mo>|</mml:mo>\r\n                              <mml:mrow>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mi>d</mml:mi>\r\n                              <mml:mi>x</mml:mi>\r\n                            </mml:mrow>\r\n                            <mml:msup>\r\n                              <mml:mrow>\r\n                                <mml:mo>}</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mn>2</mml:mn>\r\n                            </mml:msup>\r\n                            <mml:mi>d</mml:mi>\r\n                            <mml:mi>t</mml:mi>\r\n                            <mml:mo>&lt;</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\r\n                            <mml:mo>.</mml:mo>\r\n                          </mml:mrow>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:disp-formula>This resolves a fine structure in the borderline case <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$p=1$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>p</mml:mi>\r\n                    <mml:mo>=</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> and <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$q=2$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>q</mml:mi>\r\n                    <mml:mo>=</mml:mo>\r\n                    <mml:mn>2</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> appearing in results on existence of weak solutions for sources in <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$L^q((0,T);L^p(\\Omega ;{\\mathbb {R}}^2))$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msup>\r\n                      <mml:mi>L</mml:mi>\r\n                      <mml:mi>q</mml:mi>\r\n                    </mml:msup>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n                        <mml:mn>0</mml:mn>\r\n                        <mml:mo>,</mml:mo>\r\n                        <mml:mi>T</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mo>;</mml:mo>\r\n                      <mml:msup>\r\n                        <mml:mi>L</mml:mi>\r\n                        <mml:mi>p</mml:mi>\r\n                      </mml:msup>\r\n                      <mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n                        <mml:mi>Ω</mml:mi>\r\n                        <mml:mo>;</mml:mo>\r\n                        <mml:msup>\r\n                          <mml:mrow>\r\n                            <mml:mi>R</mml:mi>\r\n                          </mml:mrow>\r\n                          <mml:mn>2</mml:mn>\r\n                        </mml:msup>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> when <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$p\\in (1,\\infty ]$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>p</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:mo>(</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                    <mml:mo>,</mml:mo>\r\n                    <mml:mi>∞</mml:mi>\r\n                    <mml:mo>]</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> and <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$q\\in [1,\\infty ]$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>q</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:mo>[</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                    <mml:mo>,</mml:mo>\r\n                    <mml:mi>∞</mml:mi>\r\n                    <mml:mo>]</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> satisfy <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\frac{1}{p}+\\frac{1}{q}\\le \\frac{3}{2}$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mfrac>\r\n                      <mml:mn>1</mml:mn>\r\n                      <mml:mi>p</mml:mi>\r\n                    </mml:mfrac>\r\n                    <mml:mo>+</mml:mo>\r\n                    <mml:mfrac>\r\n                      <mml:mn>1</mml:mn>\r\n                      <mml:mi>q</mml:mi>\r\n                    </mml:mfrac>\r\n                    <mml:mo>≤</mml:mo>\r\n                    <mml:mfrac>\r\n                      <mml:mn>3</mml:mn>\r\n                      <mml:mn>2</mml:mn>\r\n                    </mml:mfrac>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>, and on nonexistence if here <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$p\\in [1,\\infty )$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>p</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:mo>[</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                    <mml:mo>,</mml:mo>\r\n                    <mml:mi>∞</mml:mi>\r\n                    <mml:mo>)</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> and <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$q\\in [1,\\infty )$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>q</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:mo>[</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                    <mml:mo>,</mml:mo>\r\n                    <mml:mi>∞</mml:mi>\r\n                    <mml:mo>)</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> are such that <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\frac{1}{p}+\\frac{1}{q}&gt;\\frac{3}{2}$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mfrac>\r\n                      <mml:mn>1</mml:mn>\r\n                      <mml:mi>p</mml:mi>\r\n                    </mml:mfrac>\r\n                    <mml:mo>+</mml:mo>\r\n                    <mml:mfrac>\r\n                      <mml:mn>1</mml:mn>\r\n                      <mml:mi>q</mml:mi>\r\n                    </mml:mfrac>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mfrac>\r\n                      <mml:mn>3</mml:mn>\r\n                      <mml:mn>2</mml:mn>\r\n                    </mml:mfrac>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>.</jats:p>","lang":"eng"}],"date_created":"2025-12-18T19:02:09Z","type":"journal_article"},{"publication":"Journal of Evolution Equations","issue":"2","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The quasilinear Keller–Segel system<jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l} u_t=\\nabla \\cdot (D(u)\\nabla u) - \\nabla \\cdot (S(u)\\nabla v), \\\\ v_t=\\Delta v-v+u, \\end{array}\\right. \\end{aligned}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mtable><mml:mtr><mml:mtd><mml:mfenced><mml:mrow><mml:mtable><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>∇</mml:mi><mml:mo>·</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mi>D</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>u</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mi>∇</mml:mi><mml:mi>u</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>-</mml:mo><mml:mi>∇</mml:mi><mml:mo>·</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mi>S</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>u</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mi>∇</mml:mi><mml:mi>v</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow/><mml:msub><mml:mi>v</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>Δ</mml:mi><mml:mi>v</mml:mi><mml:mo>-</mml:mo><mml:mi>v</mml:mi><mml:mo>+</mml:mo><mml:mi>u</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mfenced></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></jats:alternatives></jats:disp-formula>endowed with homogeneous Neumann boundary conditions is considered in a bounded domain<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Omega \\subset {\\mathbb {R}}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>Ω</mml:mi><mml:mo>⊂</mml:mo><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>,<jats:inline-formula><jats:alternatives><jats:tex-math>$$n \\ge 3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>n</mml:mi><mml:mo>≥</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>, with smooth boundary for sufficiently regular functions<jats:italic>D</jats:italic>and<jats:italic>S</jats:italic>satisfying<jats:inline-formula><jats:alternatives><jats:tex-math>$$D&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>D</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>on<jats:inline-formula><jats:alternatives><jats:tex-math>$$[0,\\infty )$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mo>[</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi>∞</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>,<jats:inline-formula><jats:alternatives><jats:tex-math>$$S&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>S</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>on<jats:inline-formula><jats:alternatives><jats:tex-math>$$(0,\\infty )$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mo>(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi>∞</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>and<jats:inline-formula><jats:alternatives><jats:tex-math>$$S(0)=0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>S</mml:mi><mml:mo>(</mml:mo><mml:mn>0</mml:mn><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>. On the one hand, it is shown that if<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\frac{S}{D}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mfrac><mml:mi>S</mml:mi><mml:mi>D</mml:mi></mml:mfrac></mml:math></jats:alternatives></jats:inline-formula>satisfies the subcritical growth condition<jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\frac{S(s)}{D(s)} \\le C s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge 1 \\qquad \\text{ with } \\text{ some } \\alpha &lt; \\frac{2}{n} \\end{aligned}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mtable><mml:mtr><mml:mtd><mml:mrow><mml:mfrac><mml:mrow><mml:mi>S</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac><mml:mo>≤</mml:mo><mml:mi>C</mml:mi><mml:msup><mml:mi>s</mml:mi><mml:mi>α</mml:mi></mml:msup><mml:mspace/><mml:mspace/><mml:mtext>for</mml:mtext><mml:mspace/><mml:mspace/><mml:mtext>all</mml:mtext><mml:mspace/><mml:mi>s</mml:mi><mml:mo>≥</mml:mo><mml:mn>1</mml:mn><mml:mspace/><mml:mspace/><mml:mtext>with</mml:mtext><mml:mspace/><mml:mspace/><mml:mtext>some</mml:mtext><mml:mspace/><mml:mi>α</mml:mi><mml:mo>&lt;</mml:mo><mml:mfrac><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></jats:alternatives></jats:disp-formula>and<jats:inline-formula><jats:alternatives><jats:tex-math>$$C&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>C</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>, then for any sufficiently regular initial data there exists a global weak energy solution such that<jats:inline-formula><jats:alternatives><jats:tex-math>$${ \\mathrm{{ess}}} \\sup _{t&gt;0} \\Vert u(t) \\Vert _{L^p(\\Omega )}&lt;\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>ess</mml:mi><mml:msub><mml:mo>sup</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mo>‖</mml:mo><mml:mi>u</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>‖</mml:mo></mml:mrow><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>Ω</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mi>∞</mml:mi></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>for some<jats:inline-formula><jats:alternatives><jats:tex-math>$$p &gt; \\frac{2n}{n+2}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>. On the other hand, if<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\frac{S}{D}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mfrac><mml:mi>S</mml:mi><mml:mi>D</mml:mi></mml:mfrac></mml:math></jats:alternatives></jats:inline-formula>satisfies the supercritical growth condition<jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\frac{S(s)}{D(s)} \\ge c s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge 1 \\qquad \\text{ with } \\text{ some } \\alpha &gt; \\frac{2}{n} \\end{aligned}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mtable><mml:mtr><mml:mtd><mml:mrow><mml:mfrac><mml:mrow><mml:mi>S</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac><mml:mo>≥</mml:mo><mml:mi>c</mml:mi><mml:msup><mml:mi>s</mml:mi><mml:mi>α</mml:mi></mml:msup><mml:mspace/><mml:mspace/><mml:mtext>for</mml:mtext><mml:mspace/><mml:mspace/><mml:mtext>all</mml:mtext><mml:mspace/><mml:mi>s</mml:mi><mml:mo>≥</mml:mo><mml:mn>1</mml:mn><mml:mspace/><mml:mspace/><mml:mtext>with</mml:mtext><mml:mspace/><mml:mspace/><mml:mtext>some</mml:mtext><mml:mspace/><mml:mi>α</mml:mi><mml:mo>&gt;</mml:mo><mml:mfrac><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></jats:alternatives></jats:disp-formula>and<jats:inline-formula><jats:alternatives><jats:tex-math>$$c&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>c</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>, then the nonexistence of a global weak energy solution having the boundedness property stated above is shown for some initial data in the radial setting. This establishes some criticality of the value<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\alpha = \\frac{2}{n}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>for<jats:inline-formula><jats:alternatives><jats:tex-math>$$n \\ge 3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>n</mml:mi><mml:mo>≥</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>, without any additional assumption on the behavior of<jats:italic>D</jats:italic>(<jats:italic>s</jats:italic>) as<jats:inline-formula><jats:alternatives><jats:tex-math>$$s \\rightarrow \\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>s</mml:mi><mml:mo>→</mml:mo><mml:mi>∞</mml:mi></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>, in particular without requiring any algebraic lower bound for<jats:italic>D</jats:italic>. When applied to the Keller–Segel system with volume-filling effect for probability distribution functions of the type<jats:inline-formula><jats:alternatives><jats:tex-math>$$Q(s) = \\exp (-s^\\beta )$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>Q</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mo>exp</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:msup><mml:mi>s</mml:mi><mml:mi>β</mml:mi></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>,<jats:inline-formula><jats:alternatives><jats:tex-math>$$s \\ge 0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>s</mml:mi><mml:mo>≥</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>, for global solvability the exponent<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\beta = \\frac{n-2}{n}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>β</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn>2</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:mfrac></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>is seen to be critical.</jats:p>"}],"date_created":"2025-12-18T19:06:36Z","type":"journal_article","year":"2024","title":"A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects","publication_identifier":{"issn":["1424-3199","1424-3202"]},"author":[{"full_name":"Stinner, Christian","first_name":"Christian","last_name":"Stinner"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"}],"publication_status":"published","date_updated":"2025-12-18T20:14:21Z","intvolume":"        24","article_number":"26","language":[{"iso":"eng"}],"doi":"10.1007/s00028-024-00954-x","citation":{"mla":"Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for Volume-Filling Effects.” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, 26, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s00028-024-00954-x\">10.1007/s00028-024-00954-x</a>.","bibtex":"@article{Stinner_Winkler_2024, title={A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects}, volume={24}, DOI={<a href=\"https://doi.org/10.1007/s00028-024-00954-x\">10.1007/s00028-024-00954-x</a>}, number={226}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Stinner, Christian and Winkler, Michael}, year={2024} }","ama":"Stinner C, Winkler M. A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. <i>Journal of Evolution Equations</i>. 2024;24(2). doi:<a href=\"https://doi.org/10.1007/s00028-024-00954-x\">10.1007/s00028-024-00954-x</a>","ieee":"C. Stinner and M. Winkler, “A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects,” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, Art. no. 26, 2024, doi: <a href=\"https://doi.org/10.1007/s00028-024-00954-x\">10.1007/s00028-024-00954-x</a>.","apa":"Stinner, C., &#38; Winkler, M. (2024). A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. <i>Journal of Evolution Equations</i>, <i>24</i>(2), Article 26. <a href=\"https://doi.org/10.1007/s00028-024-00954-x\">https://doi.org/10.1007/s00028-024-00954-x</a>","short":"C. Stinner, M. Winkler, Journal of Evolution Equations 24 (2024).","chicago":"Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for Volume-Filling Effects.” <i>Journal of Evolution Equations</i> 24, no. 2 (2024). <a href=\"https://doi.org/10.1007/s00028-024-00954-x\">https://doi.org/10.1007/s00028-024-00954-x</a>."},"status":"public","_id":"63257","publisher":"Springer Science and Business Media LLC","user_id":"31496","volume":24},{"date_updated":"2025-12-18T20:13:49Z","publication_status":"published","intvolume":"        37","year":"2024","title":"Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture","publication_identifier":{"issn":["0951-7715","1361-6544"]},"author":[{"full_name":"Ding, Mengyao","first_name":"Mengyao","last_name":"Ding"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"}],"doi":"10.1088/1361-6544/ad871a","article_number":"125006","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>The Neumann problem for the Keller-Segel system <jats:inline-formula>\r\n                     <jats:tex-math/>\r\n                     <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                        <mml:mrow>\r\n                           <mml:mtable columnalign=\"left\" displaystyle=\"true\">\r\n                              <mml:mtr>\r\n                                 <mml:mtd>\r\n                                    <mml:mrow>\r\n                                       <mml:mo>{</mml:mo>\r\n                                       <mml:mtable columnalign=\"left\" displaystyle=\"true\">\r\n                                          <mml:mtr>\r\n                                             <mml:mtd>\r\n                                                <mml:msub>\r\n                                                   <mml:mi>u</mml:mi>\r\n                                                   <mml:mi>t</mml:mi>\r\n                                                </mml:msub>\r\n                                                <mml:mo>=</mml:mo>\r\n                                                <mml:mi mathvariant=\"normal\">∇</mml:mi>\r\n                                                <mml:mo>⋅</mml:mo>\r\n                                                <mml:mrow>\r\n                                                   <mml:mo>(</mml:mo>\r\n                                                   <mml:mi>D</mml:mi>\r\n                                                   <mml:mrow>\r\n                                                      <mml:mo>(</mml:mo>\r\n                                                      <mml:mi>u</mml:mi>\r\n                                                      <mml:mo>)</mml:mo>\r\n                                                   </mml:mrow>\r\n                                                   <mml:mi mathvariant=\"normal\">∇</mml:mi>\r\n                                                   <mml:mi>u</mml:mi>\r\n                                                   <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mo>−</mml:mo>\r\n                                                <mml:mi mathvariant=\"normal\">∇</mml:mi>\r\n                                                <mml:mo>⋅</mml:mo>\r\n                                                <mml:mrow>\r\n                                                   <mml:mo>(</mml:mo>\r\n                                                   <mml:mi>S</mml:mi>\r\n                                                   <mml:mrow>\r\n                                                      <mml:mo>(</mml:mo>\r\n                                                      <mml:mi>u</mml:mi>\r\n                                                      <mml:mo>)</mml:mo>\r\n                                                   </mml:mrow>\r\n                                                   <mml:mi mathvariant=\"normal\">∇</mml:mi>\r\n                                                   <mml:mi>v</mml:mi>\r\n                                                   <mml:mo>)</mml:mo>\r\n                                                </mml:mrow>\r\n                                                <mml:mo>,</mml:mo>\r\n                                             </mml:mtd>\r\n                                          </mml:mtr>\r\n                                          <mml:mtr>\r\n                                             <mml:mtd>\r\n                                                <mml:mn>0</mml:mn>\r\n                                                <mml:mo>=</mml:mo>\r\n                                                <mml:mi mathvariant=\"normal\">Δ</mml:mi>\r\n                                                <mml:mi>v</mml:mi>\r\n                                                <mml:mo>−</mml:mo>\r\n                                                <mml:mi>μ</mml:mi>\r\n                                                <mml:mo>+</mml:mo>\r\n                                                <mml:mi>u</mml:mi>\r\n                                                <mml:mo>,</mml:mo>\r\n                                                <mml:mstyle scriptlevel=\"0\"/>\r\n                                                <mml:mi>μ</mml:mi>\r\n                                                <mml:mo>=</mml:mo>\r\n                                                <mml:mstyle displaystyle=\"true\" scriptlevel=\"0\">\r\n                                                   <mml:mo>−</mml:mo>\r\n                                                   <mml:mstyle scriptlevel=\"0\"/>\r\n                                                   <mml:mstyle scriptlevel=\"0\"/>\r\n                                                   <mml:mstyle scriptlevel=\"0\"/>\r\n                                                   <mml:mstyle scriptlevel=\"0\"/>\r\n                                                   <mml:mstyle scriptlevel=\"0\"/>\r\n                                                   <mml:mstyle scriptlevel=\"0\"/>\r\n                                                   <mml:mstyle scriptlevel=\"0\"/>\r\n                                                   <mml:mstyle scriptlevel=\"0\"/>\r\n                                                   <mml:mstyle scriptlevel=\"0\"/>\r\n                                                   <mml:msub>\r\n                                                      <mml:mo>∫</mml:mo>\r\n                                                      <mml:mi mathvariant=\"normal\">Ω</mml:mi>\r\n                                                   </mml:msub>\r\n                                                   <mml:mi>u</mml:mi>\r\n                                                   <mml:mtext>d</mml:mtext>\r\n                                                   <mml:mi>x</mml:mi>\r\n                                                   <mml:mo>,</mml:mo>\r\n                                                </mml:mstyle>\r\n                                             </mml:mtd>\r\n                                          </mml:mtr>\r\n                                       </mml:mtable>\r\n                                    </mml:mrow>\r\n                                 </mml:mtd>\r\n                              </mml:mtr>\r\n                           </mml:mtable>\r\n                        </mml:mrow>\r\n                     </mml:math>\r\n                  </jats:inline-formula> is considered in <jats:italic>n</jats:italic>-dimensional balls Ω with <jats:inline-formula>\r\n                     <jats:tex-math/>\r\n                     <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                        <mml:mrow>\r\n                           <mml:mi>n</mml:mi>\r\n                           <mml:mtext>⩾</mml:mtext>\r\n                           <mml:mn>2</mml:mn>\r\n                        </mml:mrow>\r\n                     </mml:math>\r\n                  </jats:inline-formula>, with suitably regular and radially symmetric, radially nonincreasing initial data <jats:italic>u</jats:italic>\r\n                  <jats:sub>0</jats:sub>. The functions <jats:italic>D</jats:italic> and <jats:italic>S</jats:italic> are only assumed to belong to <jats:inline-formula>\r\n                     <jats:tex-math/>\r\n                     <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                        <mml:mrow>\r\n                           <mml:msup>\r\n                              <mml:mi>C</mml:mi>\r\n                              <mml:mn>2</mml:mn>\r\n                           </mml:msup>\r\n                           <mml:mo stretchy=\"false\">(</mml:mo>\r\n                           <mml:mo stretchy=\"false\">[</mml:mo>\r\n                           <mml:mn>0</mml:mn>\r\n                           <mml:mo>,</mml:mo>\r\n                           <mml:mi mathvariant=\"normal\">∞</mml:mi>\r\n                           <mml:mo stretchy=\"false\">)</mml:mo>\r\n                           <mml:mo stretchy=\"false\">)</mml:mo>\r\n                        </mml:mrow>\r\n                     </mml:math>\r\n                  </jats:inline-formula> and to satisfy <jats:italic>D</jats:italic> &gt; 0 and <jats:inline-formula>\r\n                     <jats:tex-math/>\r\n                     <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                        <mml:mrow>\r\n                           <mml:mi>S</mml:mi>\r\n                           <mml:mtext>⩾</mml:mtext>\r\n                           <mml:mn>0</mml:mn>\r\n                        </mml:mrow>\r\n                     </mml:math>\r\n                  </jats:inline-formula> on <jats:inline-formula>\r\n                     <jats:tex-math/>\r\n                     <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                        <mml:mrow>\r\n                           <mml:mo stretchy=\"false\">[</mml:mo>\r\n                           <mml:mn>0</mml:mn>\r\n                           <mml:mo>,</mml:mo>\r\n                           <mml:mi mathvariant=\"normal\">∞</mml:mi>\r\n                           <mml:mo stretchy=\"false\">)</mml:mo>\r\n                        </mml:mrow>\r\n                     </mml:math>\r\n                  </jats:inline-formula> as well as <jats:inline-formula>\r\n                     <jats:tex-math/>\r\n                     <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                        <mml:mrow>\r\n                           <mml:mi>S</mml:mi>\r\n                           <mml:mo stretchy=\"false\">(</mml:mo>\r\n                           <mml:mn>0</mml:mn>\r\n                           <mml:mo stretchy=\"false\">)</mml:mo>\r\n                           <mml:mo>=</mml:mo>\r\n                           <mml:mn>0</mml:mn>\r\n                        </mml:mrow>\r\n                     </mml:math>\r\n                  </jats:inline-formula>; in particular, diffusivities with arbitrarily fast decay are included.</jats:p>\r\n               <jats:p>In this general context, it is shown that it is merely the asymptotic behavior as <jats:inline-formula>\r\n                     <jats:tex-math/>\r\n                     <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                        <mml:mrow>\r\n                           <mml:mi>ξ</mml:mi>\r\n                           <mml:mo accent=\"false\" stretchy=\"false\">→</mml:mo>\r\n                           <mml:mi mathvariant=\"normal\">∞</mml:mi>\r\n                        </mml:mrow>\r\n                     </mml:math>\r\n                  </jats:inline-formula> of the expression <jats:inline-formula>\r\n                     <jats:tex-math/>\r\n                     <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                        <mml:mrow>\r\n                           <mml:mtable columnalign=\"left\" displaystyle=\"true\">\r\n                              <mml:mtr>\r\n                                 <mml:mtd>\r\n                                    <mml:mi>I</mml:mi>\r\n                                    <mml:mrow>\r\n                                       <mml:mo>(</mml:mo>\r\n                                       <mml:mi>ξ</mml:mi>\r\n                                       <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n                                    <mml:mo>:=</mml:mo>\r\n                                    <mml:mfrac>\r\n                                       <mml:mrow>\r\n                                          <mml:mi>S</mml:mi>\r\n                                          <mml:mrow>\r\n                                             <mml:mo>(</mml:mo>\r\n                                             <mml:mi>ξ</mml:mi>\r\n                                             <mml:mo>)</mml:mo>\r\n                                          </mml:mrow>\r\n                                       </mml:mrow>\r\n                                       <mml:mrow>\r\n                                          <mml:msup>\r\n                                             <mml:mi>ξ</mml:mi>\r\n                                             <mml:mfrac>\r\n                                                <mml:mn>2</mml:mn>\r\n                                                <mml:mi>n</mml:mi>\r\n                                             </mml:mfrac>\r\n                                          </mml:msup>\r\n                                          <mml:mi>D</mml:mi>\r\n                                          <mml:mrow>\r\n                                             <mml:mo>(</mml:mo>\r\n                                             <mml:mi>ξ</mml:mi>\r\n                                             <mml:mo>)</mml:mo>\r\n                                          </mml:mrow>\r\n                                       </mml:mrow>\r\n                                    </mml:mfrac>\r\n                                    <mml:mo>,</mml:mo>\r\n                                    <mml:mstyle scriptlevel=\"0\"/>\r\n                                    <mml:mi>ξ</mml:mi>\r\n                                    <mml:mo>&gt;</mml:mo>\r\n                                    <mml:mn>0</mml:mn>\r\n                                    <mml:mo>,</mml:mo>\r\n                                 </mml:mtd>\r\n                              </mml:mtr>\r\n                           </mml:mtable>\r\n                        </mml:mrow>\r\n                     </mml:math>\r\n                  </jats:inline-formula> which decides about the occurrence of blow-up: Namely, it is seen that\r\n<jats:list id=\"nonad871al1\" list-type=\"bullet\">\r\n                     <jats:list-item id=\"nonad871al1.1\">\r\n                        <jats:label>•</jats:label>\r\n                        <jats:p>if <jats:inline-formula>\r\n                              <jats:tex-math/>\r\n                              <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                                 <mml:mrow>\r\n                                    <mml:munder>\r\n                                       <mml:mo movablelimits=\"true\">lim</mml:mo>\r\n                                       <mml:mrow>\r\n                                          <mml:mi>ξ</mml:mi>\r\n                                          <mml:mo accent=\"false\" stretchy=\"false\">→</mml:mo>\r\n                                          <mml:mi mathvariant=\"normal\">∞</mml:mi>\r\n                                       </mml:mrow>\r\n                                    </mml:munder>\r\n                                    <mml:mi>I</mml:mi>\r\n                                    <mml:mo stretchy=\"false\">(</mml:mo>\r\n                                    <mml:mi>ξ</mml:mi>\r\n                                    <mml:mo stretchy=\"false\">)</mml:mo>\r\n                                    <mml:mo>=</mml:mo>\r\n                                    <mml:mn>0</mml:mn>\r\n                                 </mml:mrow>\r\n                              </mml:math>\r\n                           </jats:inline-formula>, then any such solution is global and bounded, that</jats:p>\r\n                     </jats:list-item>\r\n                     <jats:list-item id=\"nonad871al1.2\">\r\n                        <jats:label>•</jats:label>\r\n                        <jats:p>if <jats:inline-formula>\r\n                              <jats:tex-math/>\r\n                              <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                                 <mml:mrow>\r\n                                    <mml:munder>\r\n                                       <mml:mo movablelimits=\"true\">lim sup</mml:mo>\r\n                                       <mml:mrow>\r\n                                          <mml:mi>ξ</mml:mi>\r\n                                          <mml:mo accent=\"false\" stretchy=\"false\">→</mml:mo>\r\n                                          <mml:mi mathvariant=\"normal\">∞</mml:mi>\r\n                                       </mml:mrow>\r\n                                    </mml:munder>\r\n                                    <mml:mi>I</mml:mi>\r\n                                    <mml:mo stretchy=\"false\">(</mml:mo>\r\n                                    <mml:mi>ξ</mml:mi>\r\n                                    <mml:mo stretchy=\"false\">)</mml:mo>\r\n                                    <mml:mo>&lt;</mml:mo>\r\n                                    <mml:mi mathvariant=\"normal\">∞</mml:mi>\r\n                                 </mml:mrow>\r\n                              </mml:math>\r\n                           </jats:inline-formula> and <jats:inline-formula>\r\n                              <jats:tex-math/>\r\n                              <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                                 <mml:mrow>\r\n                                    <mml:msub>\r\n                                       <mml:mo>∫</mml:mo>\r\n                                       <mml:mi mathvariant=\"normal\">Ω</mml:mi>\r\n                                    </mml:msub>\r\n                                    <mml:msub>\r\n                                       <mml:mi>u</mml:mi>\r\n                                       <mml:mn>0</mml:mn>\r\n                                    </mml:msub>\r\n                                 </mml:mrow>\r\n                              </mml:math>\r\n                           </jats:inline-formula> is suitably small, then the corresponding solution is global and bounded, and that</jats:p>\r\n                     </jats:list-item>\r\n                     <jats:list-item id=\"nonad871al1.3\">\r\n                        <jats:label>•</jats:label>\r\n                        <jats:p>if <jats:inline-formula>\r\n                              <jats:tex-math/>\r\n                              <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                                 <mml:mrow>\r\n                                    <mml:munder>\r\n                                       <mml:mo movablelimits=\"true\">lim inf</mml:mo>\r\n                                       <mml:mrow>\r\n                                          <mml:mi>ξ</mml:mi>\r\n                                          <mml:mo accent=\"false\" stretchy=\"false\">→</mml:mo>\r\n                                          <mml:mi mathvariant=\"normal\">∞</mml:mi>\r\n                                       </mml:mrow>\r\n                                    </mml:munder>\r\n                                    <mml:mi>I</mml:mi>\r\n                                    <mml:mo stretchy=\"false\">(</mml:mo>\r\n                                    <mml:mi>ξ</mml:mi>\r\n                                    <mml:mo stretchy=\"false\">)</mml:mo>\r\n                                    <mml:mo>&gt;</mml:mo>\r\n                                    <mml:mn>0</mml:mn>\r\n                                 </mml:mrow>\r\n                              </mml:math>\r\n                           </jats:inline-formula>, then at each appropriately large mass level <jats:italic>m</jats:italic>, there exist radial initial data <jats:italic>u</jats:italic>\r\n                           <jats:sub>0</jats:sub> such that <jats:inline-formula>\r\n                              <jats:tex-math/>\r\n                              <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                                 <mml:mrow>\r\n                                    <mml:msub>\r\n                                       <mml:mo>∫</mml:mo>\r\n                                       <mml:mi mathvariant=\"normal\">Ω</mml:mi>\r\n                                    </mml:msub>\r\n                                    <mml:msub>\r\n                                       <mml:mi>u</mml:mi>\r\n                                       <mml:mn>0</mml:mn>\r\n                                    </mml:msub>\r\n                                    <mml:mo>=</mml:mo>\r\n                                    <mml:mi>m</mml:mi>\r\n                                 </mml:mrow>\r\n                              </mml:math>\r\n                           </jats:inline-formula>, and that the associated solution blows up either in finite or in infinite time.</jats:p>\r\n                     </jats:list-item>\r\n                  </jats:list>\r\n               </jats:p>\r\n               <jats:p>This especially reveals the presence of critical mass phenomena whenever <jats:inline-formula>\r\n                     <jats:tex-math/>\r\n                     <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\">\r\n                        <mml:mrow>\r\n                           <mml:munder>\r\n                              <mml:mo movablelimits=\"true\">lim</mml:mo>\r\n                              <mml:mrow>\r\n                                 <mml:mi>ξ</mml:mi>\r\n                                 <mml:mo accent=\"false\" stretchy=\"false\">→</mml:mo>\r\n                                 <mml:mi mathvariant=\"normal\">∞</mml:mi>\r\n                              </mml:mrow>\r\n                           </mml:munder>\r\n                           <mml:mi>I</mml:mi>\r\n                           <mml:mo stretchy=\"false\">(</mml:mo>\r\n                           <mml:mi>ξ</mml:mi>\r\n                           <mml:mo stretchy=\"false\">)</mml:mo>\r\n                           <mml:mo>∈</mml:mo>\r\n                           <mml:mo stretchy=\"false\">(</mml:mo>\r\n                           <mml:mn>0</mml:mn>\r\n                           <mml:mo>,</mml:mo>\r\n                           <mml:mi mathvariant=\"normal\">∞</mml:mi>\r\n                           <mml:mo stretchy=\"false\">)</mml:mo>\r\n                        </mml:mrow>\r\n                     </mml:math>\r\n                  </jats:inline-formula> exists.</jats:p>"}],"publication":"Nonlinearity","issue":"12","type":"journal_article","date_created":"2025-12-18T19:04:45Z","status":"public","user_id":"31496","volume":37,"_id":"63253","publisher":"IOP Publishing","citation":{"bibtex":"@article{Ding_Winkler_2024, title={Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture}, volume={37}, DOI={<a href=\"https://doi.org/10.1088/1361-6544/ad871a\">10.1088/1361-6544/ad871a</a>}, number={12125006}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Ding, Mengyao and Winkler, Michael}, year={2024} }","ama":"Ding M, Winkler M. Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture. <i>Nonlinearity</i>. 2024;37(12). doi:<a href=\"https://doi.org/10.1088/1361-6544/ad871a\">10.1088/1361-6544/ad871a</a>","short":"M. Ding, M. Winkler, Nonlinearity 37 (2024).","chicago":"Ding, Mengyao, and Michael Winkler. “Radial Blow-up in Quasilinear Keller-Segel Systems: Approaching the Full Picture.” <i>Nonlinearity</i> 37, no. 12 (2024). <a href=\"https://doi.org/10.1088/1361-6544/ad871a\">https://doi.org/10.1088/1361-6544/ad871a</a>.","ieee":"M. Ding and M. Winkler, “Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture,” <i>Nonlinearity</i>, vol. 37, no. 12, Art. no. 125006, 2024, doi: <a href=\"https://doi.org/10.1088/1361-6544/ad871a\">10.1088/1361-6544/ad871a</a>.","mla":"Ding, Mengyao, and Michael Winkler. “Radial Blow-up in Quasilinear Keller-Segel Systems: Approaching the Full Picture.” <i>Nonlinearity</i>, vol. 37, no. 12, 125006, IOP Publishing, 2024, doi:<a href=\"https://doi.org/10.1088/1361-6544/ad871a\">10.1088/1361-6544/ad871a</a>.","apa":"Ding, M., &#38; Winkler, M. (2024). Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture. <i>Nonlinearity</i>, <i>37</i>(12), Article 125006. <a href=\"https://doi.org/10.1088/1361-6544/ad871a\">https://doi.org/10.1088/1361-6544/ad871a</a>"}},{"user_id":"31496","volume":263,"page":"93-127","_id":"63262","publisher":"Springer Science and Business Media LLC","status":"public","citation":{"chicago":"Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” <i>Israel Journal of Mathematics</i> 263, no. 1 (2024): 93–127. <a href=\"https://doi.org/10.1007/s11856-024-2618-9\">https://doi.org/10.1007/s11856-024-2618-9</a>.","short":"M. Winkler, Israel Journal of Mathematics 263 (2024) 93–127.","ieee":"M. Winkler, “Complete infinite-time mass aggregation in a quasilinear Keller–Segel system,” <i>Israel Journal of Mathematics</i>, vol. 263, no. 1, pp. 93–127, 2024, doi: <a href=\"https://doi.org/10.1007/s11856-024-2618-9\">10.1007/s11856-024-2618-9</a>.","apa":"Winkler, M. (2024). Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. <i>Israel Journal of Mathematics</i>, <i>263</i>(1), 93–127. <a href=\"https://doi.org/10.1007/s11856-024-2618-9\">https://doi.org/10.1007/s11856-024-2618-9</a>","bibtex":"@article{Winkler_2024, title={Complete infinite-time mass aggregation in a quasilinear Keller–Segel system}, volume={263}, DOI={<a href=\"https://doi.org/10.1007/s11856-024-2618-9\">10.1007/s11856-024-2618-9</a>}, number={1}, journal={Israel Journal of Mathematics}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2024}, pages={93–127} }","ama":"Winkler M. Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. <i>Israel Journal of Mathematics</i>. 2024;263(1):93-127. doi:<a href=\"https://doi.org/10.1007/s11856-024-2618-9\">10.1007/s11856-024-2618-9</a>","mla":"Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” <i>Israel Journal of Mathematics</i>, vol. 263, no. 1, Springer Science and Business Media LLC, 2024, pp. 93–127, doi:<a href=\"https://doi.org/10.1007/s11856-024-2618-9\">10.1007/s11856-024-2618-9</a>."},"doi":"10.1007/s11856-024-2618-9","language":[{"iso":"eng"}],"date_updated":"2025-12-18T20:14:59Z","publication_status":"published","intvolume":"       263","title":"Complete infinite-time mass aggregation in a quasilinear Keller–Segel system","year":"2024","author":[{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"}],"publication_identifier":{"issn":["0021-2172","1565-8511"]},"type":"journal_article","date_created":"2025-12-18T19:08:34Z","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Radially symmetric global unbounded solutions of the chemotaxis system <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\left\\{ {\\matrix{{{u_t} = \\nabla \\cdot (D(u)\\nabla u) - \\nabla \\cdot (uS(u)\\nabla v),} \\hfill &amp; {} \\hfill \\cr {0 = \\Delta v - \\mu + u,} \\hfill &amp; {\\mu = {1 \\over {|\\Omega |}}\\int_\\Omega {u,} } \\hfill \\cr } } \\right.$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mrow>\r\n                      <mml:mo>{</mml:mo>\r\n                      <mml:mrow>\r\n                        <mml:mtable>\r\n                          <mml:mtr>\r\n                            <mml:mtd>\r\n                              <mml:mrow>\r\n                                <mml:msub>\r\n                                  <mml:mi>u</mml:mi>\r\n                                  <mml:mi>t</mml:mi>\r\n                                </mml:msub>\r\n                                <mml:mo>=</mml:mo>\r\n                                <mml:mo>∇</mml:mo>\r\n                                <mml:mo>⋅</mml:mo>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>D</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                                <mml:mo>∇</mml:mo>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                                <mml:mo>−</mml:mo>\r\n                                <mml:mo>∇</mml:mo>\r\n                                <mml:mo>⋅</mml:mo>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mi>S</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                                <mml:mo>∇</mml:mo>\r\n                                <mml:mi>v</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                                <mml:mo>,</mml:mo>\r\n                              </mml:mrow>\r\n                            </mml:mtd>\r\n                            <mml:mtd>\r\n                              <mml:mrow/>\r\n                            </mml:mtd>\r\n                          </mml:mtr>\r\n                          <mml:mtr>\r\n                            <mml:mtd>\r\n                              <mml:mrow>\r\n                                <mml:mn>0</mml:mn>\r\n                                <mml:mo>=</mml:mo>\r\n                                <mml:mi>Δ</mml:mi>\r\n                                <mml:mi>v</mml:mi>\r\n                                <mml:mo>−</mml:mo>\r\n                                <mml:mi>μ</mml:mi>\r\n                                <mml:mo>+</mml:mo>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mo>,</mml:mo>\r\n                              </mml:mrow>\r\n                            </mml:mtd>\r\n                            <mml:mtd>\r\n                              <mml:mrow>\r\n                                <mml:mi>μ</mml:mi>\r\n                                <mml:mo>=</mml:mo>\r\n                                <mml:mfrac>\r\n                                  <mml:mn>1</mml:mn>\r\n                                  <mml:mrow>\r\n                                    <mml:mo>|</mml:mo>\r\n                                    <mml:mi>Ω</mml:mi>\r\n                                    <mml:mo>|</mml:mo>\r\n                                  </mml:mrow>\r\n                                </mml:mfrac>\r\n                                <mml:mstyle>\r\n                                  <mml:mrow>\r\n                                    <mml:msub>\r\n                                      <mml:mo>∫</mml:mo>\r\n                                      <mml:mi>Ω</mml:mi>\r\n                                    </mml:msub>\r\n                                    <mml:mrow>\r\n                                      <mml:mi>u</mml:mi>\r\n                                      <mml:mo>,</mml:mo>\r\n                                    </mml:mrow>\r\n                                  </mml:mrow>\r\n                                </mml:mstyle>\r\n                              </mml:mrow>\r\n                            </mml:mtd>\r\n                          </mml:mtr>\r\n                        </mml:mtable>\r\n                      </mml:mrow>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula> are considered in a ball Ω = <jats:italic>B</jats:italic><jats:sub><jats:italic>R</jats:italic></jats:sub>(0) ⊂ ℝ<jats:sup><jats:italic>n</jats:italic></jats:sup>, where <jats:italic>n</jats:italic> ≥ 3 and <jats:italic>R</jats:italic> &gt; 0.</jats:p><jats:p>Under the assumption that <jats:italic>D</jats:italic> and <jats:italic>S</jats:italic> suitably generalize the prototypes given by <jats:italic>D</jats:italic>(<jats:italic>ξ</jats:italic>) = (<jats:italic>ξ</jats:italic> + <jats:italic>ι</jats:italic>)<jats:sup>m−1</jats:sup> and <jats:italic>S</jats:italic>(<jats:italic>ξ</jats:italic>) = (<jats:italic>ξ</jats:italic> + 1)<jats:sup>−λ−1</jats:sup> for all <jats:italic>ξ</jats:italic> &gt; 0 and some <jats:italic>m</jats:italic> ∈ ℝ, λ &gt;0 and <jats:italic>ι</jats:italic> ≥ 0 fulfilling <jats:inline-formula><jats:alternatives><jats:tex-math>$$m + \\lambda &lt; 1 - {2 \\over n}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mi>m</mml:mi>\r\n                  <mml:mo>+</mml:mo>\r\n                  <mml:mi>λ</mml:mi>\r\n                  <mml:mo>&lt;</mml:mo>\r\n                  <mml:mn>1</mml:mn>\r\n                  <mml:mo>−</mml:mo>\r\n                  <mml:mfrac>\r\n                    <mml:mn>2</mml:mn>\r\n                    <mml:mi>n</mml:mi>\r\n                  </mml:mfrac>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, a considerably large set of initial data <jats:italic>u</jats:italic><jats:sub>0</jats:sub> is found to enforce a complete mass aggregation in infinite time in the sense that for any such <jats:italic>u</jats:italic><jats:sub>0</jats:sub>, an associated Neumann type initial-boundary value problem admits a global classical solution (<jats:italic>u, v</jats:italic>) satisfying <jats:disp-formula><jats:alternatives><jats:tex-math>$${1 \\over C} \\cdot {(t + 1)^{{1 \\over \\lambda }}} \\le ||u( \\cdot ,t)|{|_{{L^\\infty }(\\Omega )}} \\le C \\cdot {(t + 1)^{{1 \\over \\lambda }}}\\,\\,\\,{\\rm{for}}\\,\\,{\\rm{all}}\\,\\,t &gt; 0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mfrac>\r\n                      <mml:mn>1</mml:mn>\r\n                      <mml:mi>C</mml:mi>\r\n                    </mml:mfrac>\r\n                  </mml:mrow>\r\n                  <mml:mo>⋅</mml:mo>\r\n                  <mml:mrow>\r\n                    <mml:mo>(</mml:mo>\r\n                    <mml:mi>t</mml:mi>\r\n                    <mml:mo>+</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                    <mml:msup>\r\n                      <mml:mo>)</mml:mo>\r\n                      <mml:mrow>\r\n                        <mml:mrow>\r\n                          <mml:mfrac>\r\n                            <mml:mn>1</mml:mn>\r\n                            <mml:mi>λ</mml:mi>\r\n                          </mml:mfrac>\r\n                        </mml:mrow>\r\n                      </mml:mrow>\r\n                    </mml:msup>\r\n                  </mml:mrow>\r\n                  <mml:mo>≤</mml:mo>\r\n                  <mml:mrow>\r\n                    <mml:mo>|</mml:mo>\r\n                  </mml:mrow>\r\n                  <mml:mrow>\r\n                    <mml:mo>|</mml:mo>\r\n                  </mml:mrow>\r\n                  <mml:mi>u</mml:mi>\r\n                  <mml:mo>(</mml:mo>\r\n                  <mml:mo>⋅</mml:mo>\r\n                  <mml:mo>,</mml:mo>\r\n                  <mml:mi>t</mml:mi>\r\n                  <mml:mo>)</mml:mo>\r\n                  <mml:mrow>\r\n                    <mml:mo>|</mml:mo>\r\n                  </mml:mrow>\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mo>|</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mrow>\r\n                        <mml:mrow>\r\n                          <mml:msup>\r\n                            <mml:mi>L</mml:mi>\r\n                            <mml:mi>∞</mml:mi>\r\n                          </mml:msup>\r\n                        </mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n                        <mml:mi>Ω</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                    </mml:msub>\r\n                  </mml:mrow>\r\n                  <mml:mo>≤</mml:mo>\r\n                  <mml:mi>C</mml:mi>\r\n                  <mml:mo>⋅</mml:mo>\r\n                  <mml:mrow>\r\n                    <mml:mo>(</mml:mo>\r\n                    <mml:mi>t</mml:mi>\r\n                    <mml:mo>+</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                    <mml:msup>\r\n                      <mml:mo>)</mml:mo>\r\n                      <mml:mrow>\r\n                        <mml:mrow>\r\n                          <mml:mfrac>\r\n                            <mml:mn>1</mml:mn>\r\n                            <mml:mi>λ</mml:mi>\r\n                          </mml:mfrac>\r\n                        </mml:mrow>\r\n                      </mml:mrow>\r\n                    </mml:msup>\r\n                  </mml:mrow>\r\n                  <mml:mspace/>\r\n                  <mml:mspace/>\r\n                  <mml:mspace/>\r\n                  <mml:mrow>\r\n                    <mml:mrow>\r\n                      <mml:mi>f</mml:mi>\r\n                      <mml:mi>o</mml:mi>\r\n                      <mml:mi>r</mml:mi>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                  <mml:mspace/>\r\n                  <mml:mspace/>\r\n                  <mml:mrow>\r\n                    <mml:mrow>\r\n                      <mml:mi>a</mml:mi>\r\n                      <mml:mi>l</mml:mi>\r\n                      <mml:mi>l</mml:mi>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                  <mml:mspace/>\r\n                  <mml:mspace/>\r\n                  <mml:mi>t</mml:mi>\r\n                  <mml:mo>&gt;</mml:mo>\r\n                  <mml:mn>0</mml:mn>\r\n                </mml:math></jats:alternatives></jats:disp-formula> as well as <jats:disp-formula><jats:alternatives><jats:tex-math>$$||u( \\cdot \\,,t)|{|_{{L^1}(\\Omega \\backslash {B_{{r_0}}}(0))}} \\to 0\\,\\,\\,{\\rm{as}}\\,\\,t \\to \\infty \\,\\,\\,{\\rm{for}}\\,\\,{\\rm{all}}\\,\\,{r_0} \\in (0,R)$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mo>|</mml:mo>\r\n                  <mml:mo>|</mml:mo>\r\n                  <mml:mi>u</mml:mi>\r\n                  <mml:mo>(</mml:mo>\r\n                  <mml:mo>⋅</mml:mo>\r\n                  <mml:mo>,</mml:mo>\r\n                  <mml:mi>t</mml:mi>\r\n                  <mml:mo>)</mml:mo>\r\n                  <mml:mo>|</mml:mo>\r\n                  <mml:msub>\r\n                    <mml:mo>|</mml:mo>\r\n                    <mml:mrow>\r\n                      <mml:msup>\r\n                        <mml:mi>L</mml:mi>\r\n                        <mml:mn>1</mml:mn>\r\n                      </mml:msup>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mi>Ω</mml:mi>\r\n                      <mml:mo>\\</mml:mo>\r\n                      <mml:msub>\r\n                        <mml:mi>B</mml:mi>\r\n                        <mml:mrow>\r\n                          <mml:msub>\r\n                            <mml:mi>r</mml:mi>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:msub>\r\n                        </mml:mrow>\r\n                      </mml:msub>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mn>0</mml:mn>\r\n                      <mml:mo>)</mml:mo>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:msub>\r\n                  <mml:mo>→</mml:mo>\r\n                  <mml:mn>0</mml:mn>\r\n                  <mml:mtext>as</mml:mtext>\r\n                  <mml:mi>t</mml:mi>\r\n                  <mml:mo>→</mml:mo>\r\n                  <mml:mi>∞</mml:mi>\r\n                  <mml:mtext>for all</mml:mtext>\r\n                  <mml:msub>\r\n                    <mml:mi>r</mml:mi>\r\n                    <mml:mn>0</mml:mn>\r\n                  </mml:msub>\r\n                  <mml:mo>∈</mml:mo>\r\n                  <mml:mo>(</mml:mo>\r\n                  <mml:mn>0</mml:mn>\r\n                  <mml:mo>,</mml:mo>\r\n                  <mml:mi>R</mml:mi>\r\n                  <mml:mo>)</mml:mo>\r\n                </mml:math></jats:alternatives></jats:disp-formula> with some <jats:italic>C</jats:italic> &gt; 0.</jats:p>"}],"issue":"1","publication":"Israel Journal of Mathematics"},{"date_created":"2025-12-19T09:13:30Z","type":"journal_article","department":[{"_id":"156"}],"publication":"Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications","issue":"12","abstract":[{"text":"<jats:p> Lightweight design by using low-density and load-adapted materials can reduce the weight of vehicles and the emissions generated during operation. However, the usage of different materials requires innovative joining technologies with increased versatility. In this investigation, the focus is on describing and characterising the failure behaviour of connections manufactured by an innovative thermomechanical joining process with adaptable auxiliary joining elements in single-lap tensile-shear tests. In order to analyse the failure development in detail, the specimens are investigated using in-situ computed tomography (in-situ CT). Here, the tensile-shear test is interrupted at points of interest and CT scans are conducted under load. In addition, the interrupted in-situ testing procedure is validated by comparing the loading behaviour with conventional continuous tensile-shear tests. The results of the in-situ investigations of joints with varying material combinations clearly describe the cause of failure, allowing conclusions towards an improved joint design. </jats:p>","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"10.1177/14644207241232233","year":"2024","title":"In-situ computed tomography analysis of the failure mechanisms of thermomechanically manufactured joints with auxiliary joining element","author":[{"last_name":"Borgert","first_name":"Thomas","full_name":"Borgert, Thomas","id":"83141"},{"first_name":"D","last_name":"Köhler","full_name":"Köhler, D"},{"full_name":"Wiens, Eugen","first_name":"Eugen","last_name":"Wiens","id":"7888"},{"last_name":"Kupfer","first_name":"R","full_name":"Kupfer, R"},{"full_name":"Troschitz, J","last_name":"Troschitz","first_name":"J"},{"first_name":"Werner","last_name":"Homberg","full_name":"Homberg, Werner","id":"233"},{"last_name":"Gude","first_name":"M","full_name":"Gude, M"}],"publication_identifier":{"issn":["1464-4207","2041-3076"]},"publication_status":"published","date_updated":"2025-12-22T10:40:28Z","intvolume":"       238","citation":{"short":"T. Borgert, D. Köhler, E. Wiens, R. Kupfer, J. Troschitz, W. Homberg, M. Gude, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 238 (2024) 2299–2306.","chicago":"Borgert, Thomas, D Köhler, Eugen Wiens, R Kupfer, J Troschitz, Werner Homberg, and M Gude. “In-Situ Computed Tomography Analysis of the Failure Mechanisms of Thermomechanically Manufactured Joints with Auxiliary Joining Element.” <i>Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications</i> 238, no. 12 (2024): 2299–2306. <a href=\"https://doi.org/10.1177/14644207241232233\">https://doi.org/10.1177/14644207241232233</a>.","apa":"Borgert, T., Köhler, D., Wiens, E., Kupfer, R., Troschitz, J., Homberg, W., &#38; Gude, M. (2024). In-situ computed tomography analysis of the failure mechanisms of thermomechanically manufactured joints with auxiliary joining element. <i>Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications</i>, <i>238</i>(12), 2299–2306. <a href=\"https://doi.org/10.1177/14644207241232233\">https://doi.org/10.1177/14644207241232233</a>","ieee":"T. Borgert <i>et al.</i>, “In-situ computed tomography analysis of the failure mechanisms of thermomechanically manufactured joints with auxiliary joining element,” <i>Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications</i>, vol. 238, no. 12, pp. 2299–2306, 2024, doi: <a href=\"https://doi.org/10.1177/14644207241232233\">10.1177/14644207241232233</a>.","ama":"Borgert T, Köhler D, Wiens E, et al. In-situ computed tomography analysis of the failure mechanisms of thermomechanically manufactured joints with auxiliary joining element. <i>Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications</i>. 2024;238(12):2299-2306. doi:<a href=\"https://doi.org/10.1177/14644207241232233\">10.1177/14644207241232233</a>","bibtex":"@article{Borgert_Köhler_Wiens_Kupfer_Troschitz_Homberg_Gude_2024, title={In-situ computed tomography analysis of the failure mechanisms of thermomechanically manufactured joints with auxiliary joining element}, volume={238}, DOI={<a href=\"https://doi.org/10.1177/14644207241232233\">10.1177/14644207241232233</a>}, number={12}, journal={Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications}, publisher={SAGE Publications}, author={Borgert, Thomas and Köhler, D and Wiens, Eugen and Kupfer, R and Troschitz, J and Homberg, Werner and Gude, M}, year={2024}, pages={2299–2306} }","mla":"Borgert, Thomas, et al. “In-Situ Computed Tomography Analysis of the Failure Mechanisms of Thermomechanically Manufactured Joints with Auxiliary Joining Element.” <i>Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications</i>, vol. 238, no. 12, SAGE Publications, 2024, pp. 2299–306, doi:<a href=\"https://doi.org/10.1177/14644207241232233\">10.1177/14644207241232233</a>."},"quality_controlled":"1","page":"2299-2306","publisher":"SAGE Publications","_id":"63346","user_id":"7888","volume":238,"status":"public"},{"citation":{"short":"I. Lamata‐Bermejo, W. Keil, K. Nolkemper, J. Heske, J. Kossmann, H. Elgabarty, M. Wortmann, M. Chorążewski, C. Schmidt, T.D. Kühne, N. Lopez Salas, M. Odziomek, Angewandte Chemie International Edition 63 (2024).","chicago":"Lamata‐Bermejo, Irene, Waldemar Keil, Karlo Nolkemper, Julian Heske, Janina Kossmann, Hossam Elgabarty, Martin Wortmann, et al. “Understanding the Wettability of C<sub>1</sub>N<sub>1</sub> (Sub)Nanopores: Implications for Porous Carbonaceous Electrodes.” <i>Angewandte Chemie International Edition</i> 63, no. 50 (2024). <a href=\"https://doi.org/10.1002/anie.202411493\">https://doi.org/10.1002/anie.202411493</a>.","apa":"Lamata‐Bermejo, I., Keil, W., Nolkemper, K., Heske, J., Kossmann, J., Elgabarty, H., Wortmann, M., Chorążewski, M., Schmidt, C., Kühne, T. D., Lopez Salas, N., &#38; Odziomek, M. (2024). Understanding the Wettability of C<sub>1</sub>N<sub>1</sub> (Sub)Nanopores: Implications for Porous Carbonaceous Electrodes. <i>Angewandte Chemie International Edition</i>, <i>63</i>(50), Article e202411493. <a href=\"https://doi.org/10.1002/anie.202411493\">https://doi.org/10.1002/anie.202411493</a>","ieee":"I. Lamata‐Bermejo <i>et al.</i>, “Understanding the Wettability of C<sub>1</sub>N<sub>1</sub> (Sub)Nanopores: Implications for Porous Carbonaceous Electrodes,” <i>Angewandte Chemie International Edition</i>, vol. 63, no. 50, Art. no. e202411493, 2024, doi: <a href=\"https://doi.org/10.1002/anie.202411493\">10.1002/anie.202411493</a>.","ama":"Lamata‐Bermejo I, Keil W, Nolkemper K, et al. Understanding the Wettability of C<sub>1</sub>N<sub>1</sub> (Sub)Nanopores: Implications for Porous Carbonaceous Electrodes. <i>Angewandte Chemie International Edition</i>. 2024;63(50). doi:<a href=\"https://doi.org/10.1002/anie.202411493\">10.1002/anie.202411493</a>","bibtex":"@article{Lamata‐Bermejo_Keil_Nolkemper_Heske_Kossmann_Elgabarty_Wortmann_Chorążewski_Schmidt_Kühne_et al._2024, title={Understanding the Wettability of C<sub>1</sub>N<sub>1</sub> (Sub)Nanopores: Implications for Porous Carbonaceous Electrodes}, volume={63}, DOI={<a href=\"https://doi.org/10.1002/anie.202411493\">10.1002/anie.202411493</a>}, number={50e202411493}, journal={Angewandte Chemie International Edition}, publisher={Wiley}, author={Lamata‐Bermejo, Irene and Keil, Waldemar and Nolkemper, Karlo and Heske, Julian and Kossmann, Janina and Elgabarty, Hossam and Wortmann, Martin and Chorążewski, Mirosław and Schmidt, Claudia and Kühne, Thomas D. and et al.}, year={2024} }","mla":"Lamata‐Bermejo, Irene, et al. “Understanding the Wettability of C<sub>1</sub>N<sub>1</sub> (Sub)Nanopores: Implications for Porous Carbonaceous Electrodes.” <i>Angewandte Chemie International Edition</i>, vol. 63, no. 50, e202411493, Wiley, 2024, doi:<a href=\"https://doi.org/10.1002/anie.202411493\">10.1002/anie.202411493</a>."},"status":"public","volume":63,"user_id":"98120","_id":"62660","publisher":"Wiley","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Understanding how water interacts with nanopores of carbonaceous electrodes is crucial for energy storage and conversion applications. A high surface area of carbonaceous materials does not necessarily need to translate to a high electrolyte‐solid interface area. Herein, we study the interaction of water with nanoporous C<jats:sub>1</jats:sub>N<jats:sub>1</jats:sub> materials to explain their very low specific capacitance in aqueous electrolytes despite their high surface area. Water was used to probe chemical environments, provided by pores of different sizes, in <jats:sup>1</jats:sup>H MAS NMR experiments. We observe that regardless of their high hydrophilicity, only a negligible portion of water can enter the nanopores of C<jats:sub>1</jats:sub>N<jats:sub>1</jats:sub>, in contrast to a reference pure carbon material with a similar pore structure. The common paradigm that water easily enters hydrophilic pores does not apply to C<jats:sub>1</jats:sub>N<jats:sub>1</jats:sub> nanopores below a few nanometers. Calorimetric and sorption experiments demonstrated strong water adsorption on the C<jats:sub>1</jats:sub>N<jats:sub>1</jats:sub> surface, which restricts water mobility across the interface and impedes its penetration into the nanopores.</jats:p>","lang":"eng"}],"issue":"50","publication":"Angewandte Chemie International Edition","type":"journal_article","date_created":"2025-11-27T13:14:44Z","intvolume":"        63","date_updated":"2026-01-08T13:04:25Z","publication_status":"published","publication_identifier":{"issn":["1433-7851","1521-3773"]},"author":[{"last_name":"Lamata‐Bermejo","first_name":"Irene","full_name":"Lamata‐Bermejo, Irene"},{"full_name":"Keil, Waldemar","first_name":"Waldemar","last_name":"Keil"},{"first_name":"Karlo","last_name":"Nolkemper","full_name":"Nolkemper, Karlo"},{"full_name":"Heske, Julian","last_name":"Heske","first_name":"Julian"},{"first_name":"Janina","last_name":"Kossmann","full_name":"Kossmann, Janina"},{"full_name":"Elgabarty, Hossam","first_name":"Hossam","last_name":"Elgabarty"},{"full_name":"Wortmann, Martin","first_name":"Martin","last_name":"Wortmann"},{"last_name":"Chorążewski","first_name":"Mirosław","full_name":"Chorążewski, Mirosław"},{"full_name":"Schmidt, Claudia","last_name":"Schmidt","first_name":"Claudia"},{"full_name":"Kühne, Thomas D.","last_name":"Kühne","first_name":"Thomas D."},{"orcid":"https://orcid.org/0000-0002-8438-9548","first_name":"Nieves","last_name":"Lopez Salas","full_name":"Lopez Salas, Nieves","id":"98120"},{"last_name":"Odziomek","first_name":"Mateusz","full_name":"Odziomek, Mateusz"}],"year":"2024","title":"Understanding the Wettability of C<sub>1</sub>N<sub>1</sub> (Sub)Nanopores: Implications for Porous Carbonaceous Electrodes","doi":"10.1002/anie.202411493","language":[{"iso":"eng"}],"article_number":"e202411493"},{"date_updated":"2026-01-08T13:05:15Z","publication_status":"published","intvolume":"         7","year":"2024","status":"public","title":"35 challenges in materials science being tackled by PIs under 35(ish) in 2024","author":[{"last_name":"Lázaro","first_name":"Isabel Abánades","full_name":"Lázaro, Isabel Abánades"},{"full_name":"Anastasaki, Athina","last_name":"Anastasaki","first_name":"Athina"},{"full_name":"Ardoña, Herdeline Ann M.","last_name":"Ardoña","first_name":"Herdeline Ann M."},{"full_name":"Arguilla, Maxx Q.","last_name":"Arguilla","first_name":"Maxx Q."},{"full_name":"Bati, Abdulaziz S.R.","first_name":"Abdulaziz S.R.","last_name":"Bati"},{"first_name":"Munkhbayar","last_name":"Batmunkh","full_name":"Batmunkh, Munkhbayar"},{"first_name":"Quinn A.","last_name":"Besford","full_name":"Besford, Quinn A."},{"full_name":"Browne, Michelle P.","first_name":"Michelle P.","last_name":"Browne"},{"full_name":"Bryant, Saffron J.","first_name":"Saffron J.","last_name":"Bryant"},{"last_name":"Carlotti","first_name":"Marco","full_name":"Carlotti, Marco"},{"full_name":"Contini, Claudia","first_name":"Claudia","last_name":"Contini"},{"last_name":"Delaney","first_name":"Colm","full_name":"Delaney, Colm"},{"last_name":"Draper","first_name":"Emily R.","full_name":"Draper, Emily R."},{"full_name":"Elbourne, Aaron","first_name":"Aaron","last_name":"Elbourne"},{"full_name":"Evans, Jack D.","first_name":"Jack D.","last_name":"Evans"},{"last_name":"Florea","first_name":"Larisa","full_name":"Florea, Larisa"},{"full_name":"Forner-Cuenca, Antoni","first_name":"Antoni","last_name":"Forner-Cuenca"},{"first_name":"Alexander C.","last_name":"Forse","full_name":"Forse, Alexander C."},{"full_name":"Gonzalez, Miguel I.","last_name":"Gonzalez","first_name":"Miguel I."},{"full_name":"Krause, Simon","last_name":"Krause","first_name":"Simon"},{"full_name":"Lee, Hiang Kwee","last_name":"Lee","first_name":"Hiang Kwee"},{"first_name":"Michael M.","last_name":"Lerch","full_name":"Lerch, Michael M."},{"full_name":"Liu, Shi","last_name":"Liu","first_name":"Shi"},{"last_name":"Lopez Salas","first_name":"Nieves","orcid":"https://orcid.org/0000-0002-8438-9548","full_name":"Lopez Salas, Nieves","id":"98120"},{"full_name":"Martin-Martinez, Francisco J.","last_name":"Martin-Martinez","first_name":"Francisco J."},{"full_name":"Pezzato, Cristian","last_name":"Pezzato","first_name":"Cristian"},{"full_name":"Protesescu, Loredana","first_name":"Loredana","last_name":"Protesescu"},{"full_name":"Schaufelberger, Fredrik","last_name":"Schaufelberger","first_name":"Fredrik"},{"full_name":"Pascual, Paula Sebastián","first_name":"Paula Sebastián","last_name":"Pascual"},{"first_name":"Aránzazu Sierra","last_name":"Fernández","full_name":"Fernández, Aránzazu Sierra"},{"full_name":"Tarpeh, William A.","first_name":"William A.","last_name":"Tarpeh"},{"first_name":"Gianvito","last_name":"Vilé","full_name":"Vilé, Gianvito"},{"first_name":"Larissa K.S.","last_name":"von Krbek","full_name":"von Krbek, Larissa K.S."},{"last_name":"Wang","first_name":"Hongzhang","full_name":"Wang, Hongzhang"},{"full_name":"Wu, Tailin","first_name":"Tailin","last_name":"Wu"},{"first_name":"Connor J.R.","last_name":"Wells","full_name":"Wells, Connor J.R."},{"full_name":"Cranford, Steven W.","last_name":"Cranford","first_name":"Steven W."}],"publication_identifier":{"issn":["2590-2385"]},"doi":"10.1016/j.matt.2024.09.026","user_id":"98120","volume":7,"page":"3699-3706","_id":"62662","publisher":"Elsevier BV","language":[{"iso":"eng"}],"issue":"11","publication":"Matter","citation":{"short":"I.A. Lázaro, A. Anastasaki, H.A.M. Ardoña, M.Q. Arguilla, A.S.R. Bati, M. Batmunkh, Q.A. Besford, M.P. Browne, S.J. Bryant, M. Carlotti, C. Contini, C. Delaney, E.R. Draper, A. Elbourne, J.D. Evans, L. Florea, A. Forner-Cuenca, A.C. Forse, M.I. Gonzalez, S. Krause, H.K. Lee, M.M. Lerch, S. Liu, N. Lopez Salas, F.J. Martin-Martinez, C. Pezzato, L. Protesescu, F. Schaufelberger, P.S. Pascual, A.S. Fernández, W.A. Tarpeh, G. Vilé, L.K.S. von Krbek, H. Wang, T. Wu, C.J.R. Wells, S.W. Cranford, Matter 7 (2024) 3699–3706.","chicago":"Lázaro, Isabel Abánades, Athina Anastasaki, Herdeline Ann M. Ardoña, Maxx Q. Arguilla, Abdulaziz S.R. Bati, Munkhbayar Batmunkh, Quinn A. Besford, et al. “35 Challenges in Materials Science Being Tackled by PIs under 35(Ish) in 2024.” <i>Matter</i> 7, no. 11 (2024): 3699–3706. <a href=\"https://doi.org/10.1016/j.matt.2024.09.026\">https://doi.org/10.1016/j.matt.2024.09.026</a>.","ieee":"I. A. Lázaro <i>et al.</i>, “35 challenges in materials science being tackled by PIs under 35(ish) in 2024,” <i>Matter</i>, vol. 7, no. 11, pp. 3699–3706, 2024, doi: <a href=\"https://doi.org/10.1016/j.matt.2024.09.026\">10.1016/j.matt.2024.09.026</a>.","apa":"Lázaro, I. A., Anastasaki, A., Ardoña, H. A. M., Arguilla, M. Q., Bati, A. S. R., Batmunkh, M., Besford, Q. A., Browne, M. P., Bryant, S. J., Carlotti, M., Contini, C., Delaney, C., Draper, E. R., Elbourne, A., Evans, J. D., Florea, L., Forner-Cuenca, A., Forse, A. C., Gonzalez, M. I., … Cranford, S. W. (2024). 35 challenges in materials science being tackled by PIs under 35(ish) in 2024. <i>Matter</i>, <i>7</i>(11), 3699–3706. <a href=\"https://doi.org/10.1016/j.matt.2024.09.026\">https://doi.org/10.1016/j.matt.2024.09.026</a>","bibtex":"@article{Lázaro_Anastasaki_Ardoña_Arguilla_Bati_Batmunkh_Besford_Browne_Bryant_Carlotti_et al._2024, title={35 challenges in materials science being tackled by PIs under 35(ish) in 2024}, volume={7}, DOI={<a href=\"https://doi.org/10.1016/j.matt.2024.09.026\">10.1016/j.matt.2024.09.026</a>}, number={11}, journal={Matter}, publisher={Elsevier BV}, author={Lázaro, Isabel Abánades and Anastasaki, Athina and Ardoña, Herdeline Ann M. and Arguilla, Maxx Q. and Bati, Abdulaziz S.R. and Batmunkh, Munkhbayar and Besford, Quinn A. and Browne, Michelle P. and Bryant, Saffron J. and Carlotti, Marco and et al.}, year={2024}, pages={3699–3706} }","ama":"Lázaro IA, Anastasaki A, Ardoña HAM, et al. 35 challenges in materials science being tackled by PIs under 35(ish) in 2024. <i>Matter</i>. 2024;7(11):3699-3706. doi:<a href=\"https://doi.org/10.1016/j.matt.2024.09.026\">10.1016/j.matt.2024.09.026</a>","mla":"Lázaro, Isabel Abánades, et al. “35 Challenges in Materials Science Being Tackled by PIs under 35(Ish) in 2024.” <i>Matter</i>, vol. 7, no. 11, Elsevier BV, 2024, pp. 3699–706, doi:<a href=\"https://doi.org/10.1016/j.matt.2024.09.026\">10.1016/j.matt.2024.09.026</a>."},"type":"journal_article","date_created":"2025-11-27T13:15:08Z"},{"citation":{"ieee":"J. Li <i>et al.</i>, “Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect,” <i>Advanced Materials</i>, vol. 36, no. 18, Art. no. 2311655, 2024, doi: <a href=\"https://doi.org/10.1002/adma.202311655\">10.1002/adma.202311655</a>.","apa":"Li, J., Xu, Y., Li, P., Völkel, A., Saldaña, F. I., Antonietti, M., Lopez Salas, N., &#38; Odziomek, M. (2024). Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect. <i>Advanced Materials</i>, <i>36</i>(18), Article 2311655. <a href=\"https://doi.org/10.1002/adma.202311655\">https://doi.org/10.1002/adma.202311655</a>","mla":"Li, Jiaxin, et al. “Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect.” <i>Advanced Materials</i>, vol. 36, no. 18, 2311655, Wiley, 2024, doi:<a href=\"https://doi.org/10.1002/adma.202311655\">10.1002/adma.202311655</a>.","bibtex":"@article{Li_Xu_Li_Völkel_Saldaña_Antonietti_Lopez Salas_Odziomek_2024, title={Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect}, volume={36}, DOI={<a href=\"https://doi.org/10.1002/adma.202311655\">10.1002/adma.202311655</a>}, number={182311655}, journal={Advanced Materials}, publisher={Wiley}, author={Li, Jiaxin and Xu, Yaolin and Li, Pengzhou and Völkel, Antje and Saldaña, Fernando Igoa and Antonietti, Markus and Lopez Salas, Nieves and Odziomek, Mateusz}, year={2024} }","chicago":"Li, Jiaxin, Yaolin Xu, Pengzhou Li, Antje Völkel, Fernando Igoa Saldaña, Markus Antonietti, Nieves Lopez Salas, and Mateusz Odziomek. “Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect.” <i>Advanced Materials</i> 36, no. 18 (2024). <a href=\"https://doi.org/10.1002/adma.202311655\">https://doi.org/10.1002/adma.202311655</a>.","short":"J. Li, Y. Xu, P. Li, A. Völkel, F.I. Saldaña, M. Antonietti, N. Lopez Salas, M. Odziomek, Advanced Materials 36 (2024).","ama":"Li J, Xu Y, Li P, et al. Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect. <i>Advanced Materials</i>. 2024;36(18). doi:<a href=\"https://doi.org/10.1002/adma.202311655\">10.1002/adma.202311655</a>"},"status":"public","volume":36,"user_id":"98120","_id":"62668","publisher":"Wiley","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Facile synthesis of porous carbon with high yield and high specific surface area (SSA) from low‐cost molecular precursors offers promising opportunities for their industrial applications. However, conventional activation methods using potassium and sodium hydroxides or carbonates suffer from low yields (&lt;20%) and poor control over porosity and composition especially when high SSAs are targeted (&gt;2000 m<jats:sup>2</jats:sup> g<jats:sup>−1</jats:sup>) because nanopores are typically created by etching. Herein, a non‐etching activation strategy is demonstrated using cesium salts of low‐cost carboxylic acids as the sole precursor in producing porous carbons with yields of up to 25% and SSAs reaching 3008 m<jats:sup>2</jats:sup> g<jats:sup>−1</jats:sup>. The pore size and oxygen content can be adjusted by tuning the synthesis temperature or changing the molecular precursor. Mechanistic investigation unravels the non‐classical role of cesium as an activating agent. The cesium compounds that form in situ, including carbonates, oxides, and metallic cesium, have extremely low work function enabling electron injection into organic/carbonaceous framework, promoting condensation, and intercalation of cesium ions into graphitic stacks forming slit pores. The resulting porous carbons deliver a high capacity of 252 mAh g<jats:sup>−1</jats:sup> (567 F g<jats:sup>−1</jats:sup>) and durability of 100 000 cycles as cathodes of Zn‐ion capacitors, showing their potential for electrochemical energy storage.</jats:p>","lang":"eng"}],"publication":"Advanced Materials","issue":"18","type":"journal_article","date_created":"2025-11-27T13:15:45Z","intvolume":"        36","date_updated":"2026-01-08T13:09:11Z","publication_status":"published","author":[{"full_name":"Li, Jiaxin","last_name":"Li","first_name":"Jiaxin"},{"last_name":"Xu","first_name":"Yaolin","full_name":"Xu, Yaolin"},{"full_name":"Li, Pengzhou","first_name":"Pengzhou","last_name":"Li"},{"full_name":"Völkel, Antje","last_name":"Völkel","first_name":"Antje"},{"full_name":"Saldaña, Fernando Igoa","last_name":"Saldaña","first_name":"Fernando Igoa"},{"full_name":"Antonietti, Markus","first_name":"Markus","last_name":"Antonietti"},{"full_name":"Lopez Salas, Nieves","last_name":"Lopez Salas","first_name":"Nieves"},{"first_name":"Mateusz","last_name":"Odziomek","full_name":"Odziomek, Mateusz"}],"publication_identifier":{"issn":["0935-9648","1521-4095"]},"title":"Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect","year":"2024","doi":"10.1002/adma.202311655","language":[{"iso":"eng"}],"article_number":"2311655"},{"type":"conference","department":[{"_id":"241"},{"_id":"153"},{"_id":"156"}],"date_created":"2024-11-18T10:06:17Z","abstract":[{"text":"Manufacturing processes benefit from property control enabling reproducibility, application oriented outcomes, and efficient part production. In reverse flow forming, state of the art practices focus primarily on geometry control, neglecting property control. Given the intricacies of the process involving the interaction of tool and machine behavior, process parameters, properties of semi finished products and temperatures, incorporating process control becomes an imperative for producing components with predefined properties. The property controlled within this reverse flow forming process is the local α’ martensite content. Therefore, process strategies to actively influence the α’ martensite content must be implemented. In this study seamless AISI 304L steel tubes are used, where α’ martensite formation is strain  and/or temperature induced through phase transformation within the process. This paper presents innovative process strategies, methods, and specially developed mechanical and thermal actuator systems to locally increase or suppress the α’ martensite content. The use and implementation of these approaches and tools allows the creation of unique optically invisible microstructure profiles containing 3D gradings, implying a radial grading of α’ martensite. The locally implemented α’ martensite, forming these 3D gradings, offers potential applications for functional or sensory purposes. This paper extends beyond theoretical concepts, providing tangible component outcomes.","lang":"eng"}],"publication":"Materials Research Proceedings","doi":"10.21741/9781644903254-76","language":[{"iso":"eng"}],"date_updated":"2024-11-18T10:42:55Z","publication_status":"published","intvolume":"        44","title":"α’-martensite grading techniques in reverse flow forming of AISI 304L","year":"2024","author":[{"full_name":"Arian, Bahman","first_name":"Bahman","last_name":"Arian","id":"36287"},{"id":"233","last_name":"Homberg","first_name":"Werner","full_name":"Homberg, Werner"},{"last_name":"Kersting","first_name":"Lukas","full_name":"Kersting, Lukas"},{"full_name":"Trächtler, Ansgar","last_name":"Trächtler","first_name":"Ansgar","id":"552"},{"first_name":"Julian","last_name":"Rozo Vasquez","full_name":"Rozo Vasquez, Julian"},{"full_name":"Walther, Frank","last_name":"Walther","first_name":"Frank"}],"publication_identifier":{"issn":["2474-395X"]},"quality_controlled":"1","citation":{"short":"B. Arian, W. Homberg, L. Kersting, A. Trächtler, J. Rozo Vasquez, F. Walther, in: Materials Research Proceedings, Materials Research Forum LLC, 2024.","chicago":"Arian, Bahman, Werner Homberg, Lukas Kersting, Ansgar Trächtler, Julian Rozo Vasquez, and Frank Walther. “α’-Martensite Grading Techniques in Reverse Flow Forming of AISI 304L.” In <i>Materials Research Proceedings</i>, Vol. 44. Materials Research Forum LLC, 2024. <a href=\"https://doi.org/10.21741/9781644903254-76\">https://doi.org/10.21741/9781644903254-76</a>.","ieee":"B. Arian, W. Homberg, L. Kersting, A. Trächtler, J. Rozo Vasquez, and F. Walther, “α’-martensite grading techniques in reverse flow forming of AISI 304L,” in <i>Materials Research Proceedings</i>, 2024, vol. 44, doi: <a href=\"https://doi.org/10.21741/9781644903254-76\">10.21741/9781644903254-76</a>.","apa":"Arian, B., Homberg, W., Kersting, L., Trächtler, A., Rozo Vasquez, J., &#38; Walther, F. (2024). α’-martensite grading techniques in reverse flow forming of AISI 304L. <i>Materials Research Proceedings</i>, <i>44</i>. <a href=\"https://doi.org/10.21741/9781644903254-76\">https://doi.org/10.21741/9781644903254-76</a>","bibtex":"@inproceedings{Arian_Homberg_Kersting_Trächtler_Rozo Vasquez_Walther_2024, title={α’-martensite grading techniques in reverse flow forming of AISI 304L}, volume={44}, DOI={<a href=\"https://doi.org/10.21741/9781644903254-76\">10.21741/9781644903254-76</a>}, booktitle={Materials Research Proceedings}, publisher={Materials Research Forum LLC}, author={Arian, Bahman and Homberg, Werner and Kersting, Lukas and Trächtler, Ansgar and Rozo Vasquez, Julian and Walther, Frank}, year={2024} }","ama":"Arian B, Homberg W, Kersting L, Trächtler A, Rozo Vasquez J, Walther F. α’-martensite grading techniques in reverse flow forming of AISI 304L. In: <i>Materials Research Proceedings</i>. Vol 44. Materials Research Forum LLC; 2024. doi:<a href=\"https://doi.org/10.21741/9781644903254-76\">10.21741/9781644903254-76</a>","mla":"Arian, Bahman, et al. “α’-Martensite Grading Techniques in Reverse Flow Forming of AISI 304L.” <i>Materials Research Proceedings</i>, vol. 44, Materials Research Forum LLC, 2024, doi:<a href=\"https://doi.org/10.21741/9781644903254-76\">10.21741/9781644903254-76</a>."},"user_id":"41470","volume":44,"_id":"57173","publisher":"Materials Research Forum LLC","status":"public"},{"user_id":"88024","ddc":["000"],"_id":"56137","has_accepted_license":"1","status":"public","conference":{"start_date":"2024-10-27","name":"39th IEEE/ACM International Conference on Automated Software Engineering (ASE 2024)","location":"Sacramento, California","end_date":"2024-11-01"},"external_id":{"arxiv":["2409.04167"]},"file_date_updated":"2024-09-16T08:49:42Z","citation":{"chicago":"Khedkar, Mugdha, Ambuj Kumar Mondal, and Eric Bodden. “Do Android App Developers Accurately Report Collection of Privacy-Related Data?” In <i>In Proceedings of the 39th IEEE/ACM International Conference on Automated Software Engineering Workshops (ASEW ’24)</i>, 2024. <a href=\"https://doi.org/10.1145/3691621.3694949\">https://doi.org/10.1145/3691621.3694949</a>.","short":"M. Khedkar, A.K. Mondal, E. Bodden, in: In Proceedings of the 39th IEEE/ACM International Conference on Automated Software Engineering Workshops (ASEW ’24), 2024.","ieee":"M. Khedkar, A. K. Mondal, and E. Bodden, “Do Android App Developers Accurately Report Collection of Privacy-Related Data?,” presented at the 39th IEEE/ACM International Conference on Automated Software Engineering (ASE 2024), Sacramento, California, 2024, doi: <a href=\"https://doi.org/10.1145/3691621.3694949\">10.1145/3691621.3694949</a>.","apa":"Khedkar, M., Mondal, A. K., &#38; Bodden, E. (2024). Do Android App Developers Accurately Report Collection of Privacy-Related Data? <i>In Proceedings of the 39th IEEE/ACM International Conference on Automated Software Engineering Workshops (ASEW ’24)</i>. 39th IEEE/ACM International Conference on Automated Software Engineering (ASE 2024), Sacramento, California. <a href=\"https://doi.org/10.1145/3691621.3694949\">https://doi.org/10.1145/3691621.3694949</a>","bibtex":"@inproceedings{Khedkar_Mondal_Bodden_2024, title={Do Android App Developers Accurately Report Collection of Privacy-Related Data?}, DOI={<a href=\"https://doi.org/10.1145/3691621.3694949\">10.1145/3691621.3694949</a>}, booktitle={In Proceedings of the 39th IEEE/ACM International Conference on Automated Software Engineering Workshops (ASEW ’24)}, author={Khedkar, Mugdha and Mondal, Ambuj Kumar and Bodden, Eric}, year={2024} }","ama":"Khedkar M, Mondal AK, Bodden E. Do Android App Developers Accurately Report Collection of Privacy-Related Data? In: <i>In Proceedings of the 39th IEEE/ACM International Conference on Automated Software Engineering Workshops (ASEW ’24)</i>. ; 2024. doi:<a href=\"https://doi.org/10.1145/3691621.3694949\">10.1145/3691621.3694949</a>","mla":"Khedkar, Mugdha, et al. “Do Android App Developers Accurately Report Collection of Privacy-Related Data?” <i>In Proceedings of the 39th IEEE/ACM International Conference on Automated Software Engineering Workshops (ASEW ’24)</i>, 2024, doi:<a href=\"https://doi.org/10.1145/3691621.3694949\">10.1145/3691621.3694949</a>."},"doi":"10.1145/3691621.3694949","language":[{"iso":"eng"}],"date_updated":"2024-11-18T13:19:51Z","year":"2024","title":"Do Android App Developers Accurately Report Collection of Privacy-Related Data?","author":[{"first_name":"Mugdha","last_name":"Khedkar","full_name":"Khedkar, Mugdha","id":"88024"},{"last_name":"Mondal","first_name":"Ambuj Kumar","full_name":"Mondal, Ambuj Kumar"},{"id":"59256","last_name":"Bodden","first_name":"Eric","orcid":"0000-0003-3470-3647","full_name":"Bodden, Eric"}],"type":"conference","department":[{"_id":"76"}],"file":[{"date_created":"2024-09-16T08:49:42Z","creator":"khedkarm","file_id":"56138","content_type":"application/pdf","success":1,"file_name":"2409.04167v1.pdf","access_level":"closed","file_size":1270058,"relation":"main_file","date_updated":"2024-09-16T08:49:42Z"}],"date_created":"2024-09-16T08:50:54Z","abstract":[{"lang":"eng","text":"Many Android applications collect data from users. The European Union's General Data Protection Regulation (GDPR) requires vendors to faithfully disclose which data their apps collect. This task is complicated because many apps use third-party code for which the same information is not readily available. Hence we ask: how accurately do current Android apps fulfill these requirements?\r\nIn this work, we first expose a multi-layered definition of privacy-related data to correctly report data collection in Android apps. We further create a dataset of privacy-sensitive data classes that may be used as input by an Android app. This dataset takes into account data collected both through the user interface and system APIs.\r\nWe manually examine the data safety sections of 70 Android apps to observe how data collection is reported, identifying instances of over- and under-reporting. Additionally, we develop a prototype to statically extract and label privacy-related data collected via app source code, user interfaces, and permissions. Comparing the prototype's results with the data safety sections of 20 apps reveals reporting discrepancies. Using the results from two Messaging and Social Media apps (Signal and Instagram), we discuss how app developers under-report and over-report data collection, respectively, and identify inaccurately reported data categories.\r\nOur results show that app developers struggle to accurately report data collection, either due to Google's abstract definition of collected data or insufficient existing tool support. "}],"publication":"In Proceedings of the 39th IEEE/ACM International Conference on Automated Software Engineering Workshops (ASEW ’24)"},{"place":"Wiesbaden","citation":{"bibtex":"@inbook{Janus_Müller_2024, place={Wiesbaden}, series={pop.religion: lebensstil - kultur - theologie}, title={Nur Provokation oder doch politisches Statement? Der Spot “The Journey” von 84 Lumber aus dem Jahr 2017}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-45304-6_12\">10.1007/978-3-658-45304-6_12</a>}, booktitle={Weihnachts-Werbespots als moderne Krippenspiele}, publisher={Springer Fachmedien Wiesbaden}, author={Janus, Richard and Müller, Emma}, editor={Janus, Richard}, year={2024}, pages={165–176}, collection={pop.religion: lebensstil - kultur - theologie} }","ama":"Janus R, Müller E. Nur Provokation oder doch politisches Statement? Der Spot “The Journey” von 84 Lumber aus dem Jahr 2017. In: Janus R, ed. <i>Weihnachts-Werbespots als moderne Krippenspiele</i>. pop.religion: lebensstil - kultur - theologie. Springer Fachmedien Wiesbaden; 2024:165-176. doi:<a href=\"https://doi.org/10.1007/978-3-658-45304-6_12\">10.1007/978-3-658-45304-6_12</a>","mla":"Janus, Richard, and Emma Müller. “Nur Provokation oder doch politisches Statement? Der Spot ‘The Journey’ von 84 Lumber aus dem Jahr 2017.” <i>Weihnachts-Werbespots als moderne Krippenspiele</i>, edited by Richard Janus, Springer Fachmedien Wiesbaden, 2024, pp. 165–76, doi:<a href=\"https://doi.org/10.1007/978-3-658-45304-6_12\">10.1007/978-3-658-45304-6_12</a>.","chicago":"Janus, Richard, and Emma Müller. “Nur Provokation oder doch politisches Statement? Der Spot ‘The Journey’ von 84 Lumber aus dem Jahr 2017.” In <i>Weihnachts-Werbespots als moderne Krippenspiele</i>, edited by Richard Janus, 165–76. pop.religion: lebensstil - kultur - theologie. Wiesbaden: Springer Fachmedien Wiesbaden, 2024. <a href=\"https://doi.org/10.1007/978-3-658-45304-6_12\">https://doi.org/10.1007/978-3-658-45304-6_12</a>.","short":"R. Janus, E. Müller, in: R. Janus (Ed.), Weihnachts-Werbespots als moderne Krippenspiele, Springer Fachmedien Wiesbaden, Wiesbaden, 2024, pp. 165–176.","ieee":"R. Janus and E. Müller, “Nur Provokation oder doch politisches Statement? Der Spot ‘The Journey’ von 84 Lumber aus dem Jahr 2017,” in <i>Weihnachts-Werbespots als moderne Krippenspiele</i>, R. Janus, Ed. Wiesbaden: Springer Fachmedien Wiesbaden, 2024, pp. 165–176.","apa":"Janus, R., &#38; Müller, E. (2024). Nur Provokation oder doch politisches Statement? Der Spot “The Journey” von 84 Lumber aus dem Jahr 2017. In R. Janus (Ed.), <i>Weihnachts-Werbespots als moderne Krippenspiele</i> (pp. 165–176). Springer Fachmedien Wiesbaden. <a href=\"https://doi.org/10.1007/978-3-658-45304-6_12\">https://doi.org/10.1007/978-3-658-45304-6_12</a>"},"user_id":"31047","editor":[{"full_name":"Janus, Richard","first_name":"Richard","last_name":"Janus"}],"page":"165-176","_id":"54464","publisher":"Springer Fachmedien Wiesbaden","status":"public","type":"book_chapter","department":[{"_id":"36"},{"_id":"20"},{"_id":"500"}],"date_created":"2024-05-27T14:45:55Z","publication":"Weihnachts-Werbespots als moderne Krippenspiele","doi":"10.1007/978-3-658-45304-6_12","series_title":"pop.religion: lebensstil - kultur - theologie","language":[{"iso":"ger"}],"publication_status":"published","date_updated":"2024-11-18T17:15:13Z","title":"Nur Provokation oder doch politisches Statement? Der Spot \"The Journey\" von 84 Lumber aus dem Jahr 2017","year":"2024","author":[{"id":"31047","last_name":"Janus","first_name":"Richard","orcid":"https://orcid.org/0009-0006-0365-4546","full_name":"Janus, Richard"},{"full_name":"Müller, Emma","last_name":"Müller","first_name":"Emma"}],"publication_identifier":{"isbn":["978-3-658-45303-9"],"eisbn":["978-3-658-45304-6"]}},{"type":"book_chapter","department":[{"_id":"36"},{"_id":"20"},{"_id":"500"}],"date_created":"2024-05-27T14:44:39Z","publication":"Weihnachts-Werbespots als moderne Krippenspiele","doi":"10.1007/978-3-658-45304-6_1","series_title":"pop.religion: lebensstil - kultur - theologie","language":[{"iso":"ger"}],"date_updated":"2024-11-18T17:14:41Z","publication_status":"published","title":"Werbung, Krippenspiele und Religion. Einleitende Bemerkungen","year":"2024","publication_identifier":{"eisbn":["978-3-658-45304-6"],"isbn":["978-3-658-45303-9"]},"author":[{"id":"31047","full_name":"Janus, Richard","orcid":"https://orcid.org/0009-0006-0365-4546","last_name":"Janus","first_name":"Richard"}],"place":"Wiesbaden","citation":{"chicago":"Janus, Richard. “Werbung, Krippenspiele und Religion. Einleitende Bemerkungen.” In <i>Weihnachts-Werbespots als moderne Krippenspiele</i>, edited by Richard Janus, 1–15. pop.religion: lebensstil - kultur - theologie. Wiesbaden: Springer Fachmedien Wiesbaden, 2024. <a href=\"https://doi.org/10.1007/978-3-658-45304-6_1\">https://doi.org/10.1007/978-3-658-45304-6_1</a>.","short":"R. Janus, in: R. Janus (Ed.), Weihnachts-Werbespots als moderne Krippenspiele, Springer Fachmedien Wiesbaden, Wiesbaden, 2024, pp. 1–15.","apa":"Janus, R. (2024). Werbung, Krippenspiele und Religion. Einleitende Bemerkungen. In R. Janus (Ed.), <i>Weihnachts-Werbespots als moderne Krippenspiele</i> (pp. 1–15). Springer Fachmedien Wiesbaden. <a href=\"https://doi.org/10.1007/978-3-658-45304-6_1\">https://doi.org/10.1007/978-3-658-45304-6_1</a>","ieee":"R. Janus, “Werbung, Krippenspiele und Religion. Einleitende Bemerkungen,” in <i>Weihnachts-Werbespots als moderne Krippenspiele</i>, R. Janus, Ed. Wiesbaden: Springer Fachmedien Wiesbaden, 2024, pp. 1–15.","ama":"Janus R. Werbung, Krippenspiele und Religion. Einleitende Bemerkungen. In: Janus R, ed. <i>Weihnachts-Werbespots als moderne Krippenspiele</i>. pop.religion: lebensstil - kultur - theologie. Springer Fachmedien Wiesbaden; 2024:1-15. doi:<a href=\"https://doi.org/10.1007/978-3-658-45304-6_1\">10.1007/978-3-658-45304-6_1</a>","bibtex":"@inbook{Janus_2024, place={Wiesbaden}, series={pop.religion: lebensstil - kultur - theologie}, title={Werbung, Krippenspiele und Religion. Einleitende Bemerkungen}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-45304-6_1\">10.1007/978-3-658-45304-6_1</a>}, booktitle={Weihnachts-Werbespots als moderne Krippenspiele}, publisher={Springer Fachmedien Wiesbaden}, author={Janus, Richard}, editor={Janus, Richard}, year={2024}, pages={1–15}, collection={pop.religion: lebensstil - kultur - theologie} }","mla":"Janus, Richard. “Werbung, Krippenspiele und Religion. Einleitende Bemerkungen.” <i>Weihnachts-Werbespots als moderne Krippenspiele</i>, edited by Richard Janus, Springer Fachmedien Wiesbaden, 2024, pp. 1–15, doi:<a href=\"https://doi.org/10.1007/978-3-658-45304-6_1\">10.1007/978-3-658-45304-6_1</a>."},"user_id":"31047","editor":[{"first_name":"Richard","last_name":"Janus","full_name":"Janus, Richard"}],"page":"1-15","_id":"54463","publisher":"Springer Fachmedien Wiesbaden","status":"public"},{"editor":[{"first_name":"Richard","orcid":"https://orcid.org/0009-0006-0365-4546","last_name":"Janus","full_name":"Janus, Richard","id":"31047"}],"doi":"10.1007/978-3-658-45304-6","user_id":"31047","_id":"54265","series_title":"pop.religion: lebensstil – kultur – theologie","publisher":"SpringerVS","language":[{"iso":"ger"}],"page":"176","date_updated":"2024-11-18T17:17:38Z","publication_status":"published","publication_identifier":{"issn":["2569-880X"],"eissn":["2569-8818"],"isbn":["978-3-658-45303-9"],"eisbn":["978-3-658-45304-6"]},"status":"public","year":"2024","title":"Weihnachts-Werbespots als moderne Krippenspiele","department":[{"_id":"36"},{"_id":"20"},{"_id":"499"}],"type":"book_editor","place":"Wiesbaden","date_created":"2024-05-13T21:34:27Z","citation":{"ieee":"R. Janus, Ed., <i>Weihnachts-Werbespots als moderne Krippenspiele</i>. Wiesbaden: SpringerVS, 2024.","apa":"Janus, R. (Ed.). (2024). <i>Weihnachts-Werbespots als moderne Krippenspiele</i>. SpringerVS. <a href=\"https://doi.org/10.1007/978-3-658-45304-6\">https://doi.org/10.1007/978-3-658-45304-6</a>","chicago":"Janus, Richard, ed. <i>Weihnachts-Werbespots als moderne Krippenspiele</i>. pop.religion: lebensstil – kultur – theologie. Wiesbaden: SpringerVS, 2024. <a href=\"https://doi.org/10.1007/978-3-658-45304-6\">https://doi.org/10.1007/978-3-658-45304-6</a>.","short":"R. Janus, ed., Weihnachts-Werbespots als moderne Krippenspiele, SpringerVS, Wiesbaden, 2024.","mla":"Janus, Richard, editor. <i>Weihnachts-Werbespots als moderne Krippenspiele</i>. SpringerVS, 2024, doi:<a href=\"https://doi.org/10.1007/978-3-658-45304-6\">10.1007/978-3-658-45304-6</a>.","bibtex":"@book{Janus_2024, place={Wiesbaden}, series={pop.religion: lebensstil – kultur – theologie}, title={Weihnachts-Werbespots als moderne Krippenspiele}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-45304-6\">10.1007/978-3-658-45304-6</a>}, publisher={SpringerVS}, year={2024}, collection={pop.religion: lebensstil – kultur – theologie} }","ama":"Janus R, ed. <i>Weihnachts-Werbespots als moderne Krippenspiele</i>. SpringerVS; 2024. doi:<a href=\"https://doi.org/10.1007/978-3-658-45304-6\">10.1007/978-3-658-45304-6</a>"}},{"status":"public","page":"5–19","_id":"57534","user_id":"33229","editor":[{"first_name":"Rieke","last_name":"Becker","full_name":"Becker, Rieke"},{"last_name":"Lauert","first_name":"Markus","full_name":"Lauert, Markus"}],"citation":{"apa":"Becker, R., &#38; Lauert, M. (2024). Einleitung. In R. Becker &#38; M. Lauert (Eds.), <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i> (pp. 5–19). <a href=\"https://doi.org/10.17619/UNIPB/1-2124\">https://doi.org/10.17619/UNIPB/1-2124</a>","ieee":"R. Becker and M. Lauert, “Einleitung,” in <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>, R. Becker and M. Lauert, Eds. Paderborn, 2024, pp. 5–19.","chicago":"Becker, Rieke, and Markus Lauert. “Einleitung.” In <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>, edited by Rieke Becker and Markus Lauert, 5–19. Paderborn, 2024. <a href=\"https://doi.org/10.17619/UNIPB/1-2124\">https://doi.org/10.17619/UNIPB/1-2124</a>.","short":"R. Becker, M. Lauert, in: R. Becker, M. Lauert (Eds.), Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann, Paderborn, 2024, pp. 5–19.","mla":"Becker, Rieke, and Markus Lauert. “Einleitung.” <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>, edited by Rieke Becker and Markus Lauert, 2024, pp. 5–19, doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2124\">10.17619/UNIPB/1-2124</a>.","ama":"Becker R, Lauert M. Einleitung. In: Becker R, Lauert M, eds. <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>. ; 2024:5–19. doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2124\">10.17619/UNIPB/1-2124</a>","bibtex":"@inbook{Becker_Lauert_2024, place={Paderborn}, title={Einleitung}, DOI={<a href=\"https://doi.org/10.17619/UNIPB/1-2124\">10.17619/UNIPB/1-2124</a>}, booktitle={Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann}, author={Becker, Rieke and Lauert, Markus}, editor={Becker, Rieke and Lauert, Markus}, year={2024}, pages={5–19} }"},"place":"Paderborn","oa":"1","year":"2024","title":"Einleitung","author":[{"id":"33229","last_name":"Becker","orcid":"0009-0006-9924-6984","first_name":"Rieke","full_name":"Becker, Rieke"},{"last_name":"Lauert","first_name":"Markus","full_name":"Lauert, Markus"}],"date_updated":"2024-12-02T10:05:20Z","publication_status":"published","main_file_link":[{"url":"https://digital.ub.uni-paderborn.de/hs/content/zoom/7726014","open_access":"1"}],"language":[{"iso":"ger"}],"doi":"10.17619/UNIPB/1-2124","publication":"Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann","related_material":{"record":[{"relation":"earlier_version","id":"57387","status":"public"}]},"date_created":"2024-12-02T10:02:43Z","type":"book_chapter","department":[{"_id":"446"}]},{"publication_status":"published","date_updated":"2024-12-03T13:15:35Z","year":"2024","title":"„Der Löwe kümmert sich nicht um das Gebell des Hündchens.“ Eine unhöfliche Flugschrift im Konflikt um die Regentschaft Ostfrieslands (1666/67)","author":[{"id":"33229","full_name":"Becker, Rieke","orcid":"0009-0006-9924-6984","first_name":"Rieke","last_name":"Becker"}],"doi":"10.17619/UNIPB/1-2124","main_file_link":[{"url":"https://digital.ub.uni-paderborn.de/hs/content/zoom/7726096","open_access":"1"}],"language":[{"iso":"ger"}],"related_material":{"record":[{"status":"public","id":"57387","relation":"contains"}]},"publication":"Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann","type":"book_chapter","department":[{"_id":"446"}],"date_created":"2024-11-24T16:00:09Z","status":"public","user_id":"33229","editor":[{"last_name":"Becker","first_name":"Rieke","full_name":"Becker, Rieke"},{"full_name":"Lauert, Markus","first_name":"Markus","last_name":"Lauert"}],"page":"84–108","_id":"57388","project":[{"_id":"819","name":"Diplomatische Strategien der Regentin Christine Charlotte von Ostfriesland (1665-1690)"}],"citation":{"short":"R. Becker, in: R. Becker, M. Lauert (Eds.), Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann, Paderborn, 2024, pp. 84–108.","chicago":"Becker, Rieke. “„Der Löwe kümmert sich nicht um das Gebell des Hündchens.“ Eine unhöfliche Flugschrift im Konflikt um die Regentschaft Ostfrieslands (1666/67).” In <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>, edited by Rieke Becker and Markus Lauert, 84–108. Paderborn, 2024. <a href=\"https://doi.org/10.17619/UNIPB/1-2124\">https://doi.org/10.17619/UNIPB/1-2124</a>.","apa":"Becker, R. (2024). „Der Löwe kümmert sich nicht um das Gebell des Hündchens.“ Eine unhöfliche Flugschrift im Konflikt um die Regentschaft Ostfrieslands (1666/67). In R. Becker &#38; M. Lauert (Eds.), <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i> (pp. 84–108). <a href=\"https://doi.org/10.17619/UNIPB/1-2124\">https://doi.org/10.17619/UNIPB/1-2124</a>","ieee":"R. Becker, “„Der Löwe kümmert sich nicht um das Gebell des Hündchens.“ Eine unhöfliche Flugschrift im Konflikt um die Regentschaft Ostfrieslands (1666/67),” in <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>, R. Becker and M. Lauert, Eds. Paderborn, 2024, pp. 84–108.","ama":"Becker R. „Der Löwe kümmert sich nicht um das Gebell des Hündchens.“ Eine unhöfliche Flugschrift im Konflikt um die Regentschaft Ostfrieslands (1666/67). In: Becker R, Lauert M, eds. <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>. ; 2024:84–108. doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2124\">10.17619/UNIPB/1-2124</a>","bibtex":"@inbook{Becker_2024, place={Paderborn}, title={„Der Löwe kümmert sich nicht um das Gebell des Hündchens.“ Eine unhöfliche Flugschrift im Konflikt um die Regentschaft Ostfrieslands (1666/67)}, DOI={<a href=\"https://doi.org/10.17619/UNIPB/1-2124\">10.17619/UNIPB/1-2124</a>}, booktitle={Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann}, author={Becker, Rieke}, editor={Becker, Rieke and Lauert, Markus}, year={2024}, pages={84–108} }","mla":"Becker, Rieke. “„Der Löwe kümmert sich nicht um das Gebell des Hündchens.“ Eine unhöfliche Flugschrift im Konflikt um die Regentschaft Ostfrieslands (1666/67).” <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>, edited by Rieke Becker and Markus Lauert, 2024, pp. 84–108, doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2124\">10.17619/UNIPB/1-2124</a>."},"oa":"1","place":"Paderborn"},{"date_updated":"2024-12-03T13:15:35Z","publication_status":"published","status":"public","year":"2024","title":"Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann","editor":[{"id":"33229","last_name":"Becker","first_name":"Rieke","orcid":"0009-0006-9924-6984","full_name":"Becker, Rieke"},{"full_name":"Lauert, Markus","last_name":"Lauert","first_name":"Markus"}],"doi":"10.17619/UNIPB/1-2124","user_id":"33229","_id":"57387","language":[{"iso":"ger"}],"main_file_link":[{"url":"https://nbn-resolving.org/urn:nbn:de:hbz:466:2-53322","open_access":"1"}],"related_material":{"record":[{"relation":"later_version","id":"57534","status":"public"},{"id":"57388","relation":"published_in","status":"public"}]},"abstract":[{"lang":"ger","text":"Der Sammelband begreift Unhöflichkeit als eine sinnhafte Kommunikationsform, die in gezielten, zweckorientierten Verstößen gegen Regeln und Erwartungshaltungen besteht. Unhöflichkeit hat das Potenzial, Aufmerksamkeit zu erzeugen und Handlungsspielräume zu eröffnen. Gerade in Gelehrtenkreisen war sie über Jahrhunderte hinweg ein gern genutztes Kommunikationsmittel in Konflikten. Häufig wurde Unhöflichkeit vor einem Publikum zur Schau gestellt und hatte dann immer auch einen Unterhaltungswert. Die Aufsätze des Sammelbandes nehmen diese Funktionen von Unhöflichkeit in exemplarischen Fallstudien in den Blick, die einen Zeitraum vom 17. bis zum 20. Jahrhundert abdecken."}],"citation":{"ieee":"R. Becker and M. Lauert, Eds., <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>. Paderborn, 2024.","apa":"Becker, R., &#38; Lauert, M. (Eds.). (2024). <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>. <a href=\"https://doi.org/10.17619/UNIPB/1-2124\">https://doi.org/10.17619/UNIPB/1-2124</a>","short":"R. Becker, M. Lauert, eds., Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann, Paderborn, 2024.","chicago":"Becker, Rieke, and Markus Lauert, eds. <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>. Paderborn, 2024. <a href=\"https://doi.org/10.17619/UNIPB/1-2124\">https://doi.org/10.17619/UNIPB/1-2124</a>.","mla":"Becker, Rieke, and Markus Lauert, editors. <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>. 2024, doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2124\">10.17619/UNIPB/1-2124</a>.","bibtex":"@book{Becker_Lauert_2024, place={Paderborn}, title={Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann}, DOI={<a href=\"https://doi.org/10.17619/UNIPB/1-2124\">10.17619/UNIPB/1-2124</a>}, year={2024} }","ama":"Becker R, Lauert M, eds. <i>Politiken der Unhöflichkeit. Gelehrtenstreit vom 17. bis zum 20. Jahrhundert. Geschenkschrift für Johannes Süßmann</i>.; 2024. doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2124\">10.17619/UNIPB/1-2124</a>"},"oa":"1","department":[{"_id":"446"}],"keyword":["Höflichkeitsforschung","Höflichkeit","Unhöflichkeit","Gelehrtenstreit"],"type":"book_editor","place":"Paderborn","date_created":"2024-11-24T15:46:09Z"},{"user_id":"81636","_id":"53197","language":[{"iso":"eng"}],"page":"69","date_updated":"2024-12-06T13:02:43Z","author":[{"full_name":"Januszewski, Fabian","last_name":"Januszewski","first_name":"Fabian","orcid":"0000-0002-3184-237X","id":"81636"}],"year":"2024","status":"public","title":"Locally algebraic representations and integral structures on the cohomology of arithmetic groups","type":"preprint","date_created":"2024-04-03T17:16:53Z","abstract":[{"lang":"eng","text":"This paper introduces the notion of locally algebraic representations and corresponding sheaves in the context of the cohomology of arithmetic groups. These representations are particularly relevant for studying integral structures and special values of cohomological automorphic representations, as well as corresponding period relations. We introduce and investigate related concepts such as locally algebraic $(\\lieg,K)$-modules and cohomological types of automorphic representations. Applying the recently developed theory of tdos and twisted $\\mathcal D$-modules, we establish the existence of canonical global $1/N$-integral structures on spaces of automorphic cusp forms. As an application, we define canonical periods attached to regular algebraic automorphic representations, potentially related to the action of Venkatesh's derived Hecke algebra on cuspidal cohomology."}],"citation":{"ama":"Januszewski F. Locally algebraic representations and integral structures on the cohomology of arithmetic groups. <i>arXiv:240403955</i>. Published online 2024.","bibtex":"@article{Januszewski_2024, title={Locally algebraic representations and integral structures on the cohomology of arithmetic groups}, journal={arXiv:2404.03955}, author={Januszewski, Fabian}, year={2024} }","mla":"Januszewski, Fabian. “Locally Algebraic Representations and Integral Structures on the Cohomology of Arithmetic Groups.” <i>ArXiv:2404.03955</i>, 2024.","short":"F. Januszewski, ArXiv:2404.03955 (2024).","chicago":"Januszewski, Fabian. “Locally Algebraic Representations and Integral Structures on the Cohomology of Arithmetic Groups.” <i>ArXiv:2404.03955</i>, 2024.","apa":"Januszewski, F. (2024). Locally algebraic representations and integral structures on the cohomology of arithmetic groups. In <i>arXiv:2404.03955</i>.","ieee":"F. Januszewski, “Locally algebraic representations and integral structures on the cohomology of arithmetic groups,” <i>arXiv:2404.03955</i>. 2024."},"publication":"arXiv:2404.03955"}]
