[{"conference":{"end_date":"2023-09-14","start_date":"2023-09-11","location":"Hamburg","name":"50. Jahrestagung der Gesellschaft für Didaktik der Chemie und Physik e.V. "},"title":"Analyse der Analogiebildung in kontextorientierten Lernumgebungen","author":[{"id":"64381","last_name":"Wedekind","full_name":"Wedekind, Lisa","first_name":"Lisa"},{"first_name":"Pascal","full_name":"Pollmeier, Pascal","id":"44191","last_name":"Pollmeier"},{"last_name":"Fechner","id":"54823","full_name":"Fechner, Sabine","first_name":"Sabine","orcid":"0000-0001-5645-5870"}],"editor":[{"last_name":"van Vorst","full_name":"van Vorst, Helena","first_name":"Helena"}],"intvolume":" 44","citation":{"apa":"Wedekind, L., Pollmeier, P., & Fechner, S. (2024). Analyse der Analogiebildung in kontextorientierten Lernumgebungen. In H. van Vorst (Ed.), Frühe naturwissenschaftliche Bildung (Vol. 44, pp. 754–757).","ama":"Wedekind L, Pollmeier P, Fechner S. Analyse der Analogiebildung in kontextorientierten Lernumgebungen. In: van Vorst H, ed. Frühe naturwissenschaftliche Bildung. Vol 44. ; 2024:754-757.","ieee":"L. Wedekind, P. Pollmeier, and S. Fechner, “Analyse der Analogiebildung in kontextorientierten Lernumgebungen,” in Frühe naturwissenschaftliche Bildung, Hamburg, 2024, vol. 44, pp. 754–757.","chicago":"Wedekind, Lisa, Pascal Pollmeier, and Sabine Fechner. “Analyse der Analogiebildung in kontextorientierten Lernumgebungen.” In Frühe naturwissenschaftliche Bildung, edited by Helena van Vorst, 44:754–57, 2024.","bibtex":"@inproceedings{Wedekind_Pollmeier_Fechner_2024, title={Analyse der Analogiebildung in kontextorientierten Lernumgebungen}, volume={44}, booktitle={Frühe naturwissenschaftliche Bildung}, author={Wedekind, Lisa and Pollmeier, Pascal and Fechner, Sabine}, editor={van Vorst, Helena}, year={2024}, pages={754–757} }","mla":"Wedekind, Lisa, et al. “Analyse der Analogiebildung in kontextorientierten Lernumgebungen.” Frühe naturwissenschaftliche Bildung, edited by Helena van Vorst, vol. 44, 2024, pp. 754–57.","short":"L. Wedekind, P. Pollmeier, S. Fechner, in: H. van Vorst (Ed.), Frühe naturwissenschaftliche Bildung, 2024, pp. 754–757."},"oa":"1","user_id":"64381","main_file_link":[{"open_access":"1","url":"https://gdcp-ev.de/wp-content/uploads/securepdfs/2024/07/Tagungsband_2024.pdf"}],"department":[{"_id":"386"}],"publication":"Frühe naturwissenschaftliche Bildung","date_created":"2024-06-12T14:38:20Z","year":"2024","type":"conference","language":[{"iso":"ger"}],"status":"public","page":"754-757","_id":"54725","volume":44,"date_updated":"2025-12-11T10:27:29Z"},{"citation":{"chicago":"Elsner, Julia, Claudia Tenberge, and Sabine Fechner. “Analyse des Modellierprozesses von Grundschüler*innen zum Thema Löslichkeit.” In In Alternativen denken - Kritik, Reflexion und Transformation im Sachunterricht, edited by Christina Egger, Herbert Neureiter, Markus Peschel, and Thomas Goll, 83–92. Bad Heilbrunn: Verlag Julius Klinkhardt, 2024. https://doi.org/10.35468/6077-08.","ieee":"J. Elsner, C. Tenberge, and S. Fechner, “Analyse des Modellierprozesses von Grundschüler*innen zum Thema Löslichkeit,” in In Alternativen denken - Kritik, Reflexion und Transformation im Sachunterricht, C. Egger, H. Neureiter, M. Peschel, and T. Goll, Eds. Bad Heilbrunn: Verlag Julius Klinkhardt, 2024, pp. 83–92.","apa":"Elsner, J., Tenberge, C., & Fechner, S. (2024). Analyse des Modellierprozesses von Grundschüler*innen zum Thema Löslichkeit. In C. Egger, H. Neureiter, M. Peschel, & T. Goll (Eds.), In Alternativen denken - Kritik, Reflexion und Transformation im Sachunterricht (pp. 83–92). Verlag Julius Klinkhardt. https://doi.org/10.35468/6077-08","ama":"Elsner J, Tenberge C, Fechner S. Analyse des Modellierprozesses von Grundschüler*innen zum Thema Löslichkeit. In: Egger C, Neureiter H, Peschel M, Goll T, eds. In Alternativen denken - Kritik, Reflexion und Transformation im Sachunterricht. Verlag Julius Klinkhardt; 2024:83-92. doi:10.35468/6077-08","short":"J. Elsner, C. Tenberge, S. Fechner, in: C. Egger, H. Neureiter, M. Peschel, T. Goll (Eds.), In Alternativen denken - Kritik, Reflexion und Transformation im Sachunterricht, Verlag Julius Klinkhardt, Bad Heilbrunn, 2024, pp. 83–92.","mla":"Elsner, Julia, et al. “Analyse des Modellierprozesses von Grundschüler*innen zum Thema Löslichkeit.” In Alternativen denken - Kritik, Reflexion und Transformation im Sachunterricht, edited by Christina Egger et al., Verlag Julius Klinkhardt, 2024, pp. 83–92, doi:10.35468/6077-08.","bibtex":"@inbook{Elsner_Tenberge_Fechner_2024, place={Bad Heilbrunn}, title={Analyse des Modellierprozesses von Grundschüler*innen zum Thema Löslichkeit}, DOI={10.35468/6077-08}, booktitle={In Alternativen denken - Kritik, Reflexion und Transformation im Sachunterricht}, publisher={Verlag Julius Klinkhardt}, author={Elsner, Julia and Tenberge, Claudia and Fechner, Sabine}, editor={Egger, Christina and Neureiter, Herbert and Peschel, Markus and Goll, Thomas}, year={2024}, pages={83–92} }"},"publication_status":"published","department":[{"_id":"386"},{"_id":"588"},{"_id":"33"}],"author":[{"id":"54277","last_name":"Elsner","first_name":"Julia","full_name":"Elsner, Julia"},{"id":"67302","last_name":"Tenberge","first_name":"Claudia","full_name":"Tenberge, Claudia"},{"last_name":"Fechner","id":"54823","full_name":"Fechner, Sabine","first_name":"Sabine","orcid":"0000-0001-5645-5870"}],"editor":[{"last_name":"Egger","full_name":"Egger, Christina","first_name":"Christina"},{"last_name":"Neureiter","full_name":"Neureiter, Herbert","first_name":"Herbert"},{"full_name":"Peschel, Markus","first_name":"Markus","last_name":"Peschel"},{"last_name":"Goll","first_name":"Thomas","full_name":"Goll, Thomas"}],"place":"Bad Heilbrunn","_id":"56162","date_updated":"2025-12-11T13:26:53Z","date_created":"2024-09-17T09:02:26Z","publisher":"Verlag Julius Klinkhardt","publication_identifier":{"isbn":["9783781526235"]},"year":"2024","language":[{"iso":"ger"}],"status":"public","user_id":"54823","title":"Analyse des Modellierprozesses von Grundschüler*innen zum Thema Löslichkeit","doi":"10.35468/6077-08","abstract":[{"text":"Die Autorinnen untersuchen im Rahmen ihrer Prä-Post-Studie mit Viertklässlern, ob der Modellierungsprozess durch analoges Schließen zwischen mehreren Phänomenen unterstützt werden kann, und ob chemische Konzepte zum Thema Löslichkeit erlernt werden können. Die Ergebnisse zeigen, dass Grundschüler*innen ihre mentalen Modelle in einem Modell ausdrücken und teilweise revidieren können. In einigen Fällen werden die Modelle reflektiert und Grenzen erkannt. (DIPF/Orig.)","lang":"eng"}],"page":"83-92","publication":"In Alternativen denken - Kritik, Reflexion und Transformation im Sachunterricht","quality_controlled":"1","type":"book_chapter"},{"_id":"62954","date_updated":"2025-12-13T23:41:02Z","date_created":"2025-12-08T09:14:16Z","publication":"Jahrestagung der Gesellschaft für Didaktik der Chemie und Physik e.V.","status":"public","language":[{"iso":"eng"}],"year":"2024","type":"conference_abstract","keyword":["Digital","Digitalisierung","Künstliche Intelligenz","KI","Messsensoren","Lehrkräfte","Chemie","Kompetenzen"],"user_id":"54823","citation":{"ieee":"J. Ponath, P. Pollmeier, and S. Fechner, “Erhebung und Förderung digitalisierungsbezogener Kompetenzen von Chemielehrkräften,” presented at the Jahrestagung der Gesellschaft für Didaktik der Chemie und Physik e.V., Bochum, 2024.","short":"J. Ponath, P. Pollmeier, S. Fechner, in: Jahrestagung Der Gesellschaft Für Didaktik Der Chemie Und Physik e.V., 2024.","chicago":"Ponath, Jonas, Pascal Pollmeier, and Sabine Fechner. “Erhebung Und Förderung Digitalisierungsbezogener Kompetenzen von Chemielehrkräften.” In Jahrestagung Der Gesellschaft Für Didaktik Der Chemie Und Physik e.V., 2024.","apa":"Ponath, J., Pollmeier, P., & Fechner, S. (2024). Erhebung und Förderung digitalisierungsbezogener Kompetenzen von Chemielehrkräften. Jahrestagung Der Gesellschaft Für Didaktik Der Chemie Und Physik e.V. Jahrestagung der Gesellschaft für Didaktik der Chemie und Physik e.V., Bochum.","ama":"Ponath J, Pollmeier P, Fechner S. Erhebung und Förderung digitalisierungsbezogener Kompetenzen von Chemielehrkräften. In: Jahrestagung Der Gesellschaft Für Didaktik Der Chemie Und Physik e.V. ; 2024.","bibtex":"@inproceedings{Ponath_Pollmeier_Fechner_2024, title={Erhebung und Förderung digitalisierungsbezogener Kompetenzen von Chemielehrkräften}, booktitle={Jahrestagung der Gesellschaft für Didaktik der Chemie und Physik e.V.}, author={Ponath, Jonas and Pollmeier, Pascal and Fechner, Sabine}, year={2024} }","mla":"Ponath, Jonas, et al. “Erhebung Und Förderung Digitalisierungsbezogener Kompetenzen von Chemielehrkräften.” Jahrestagung Der Gesellschaft Für Didaktik Der Chemie Und Physik e.V., 2024."},"department":[{"_id":"386"}],"author":[{"id":"100087","last_name":"Ponath","full_name":"Ponath, Jonas","first_name":"Jonas"},{"full_name":"Pollmeier, Pascal","first_name":"Pascal","last_name":"Pollmeier","id":"44191"},{"first_name":"Sabine","full_name":"Fechner, Sabine","last_name":"Fechner","id":"54823","orcid":"0000-0001-5645-5870"}],"title":"Erhebung und Förderung digitalisierungsbezogener Kompetenzen von Chemielehrkräften","conference":{"name":"Jahrestagung der Gesellschaft für Didaktik der Chemie und Physik e.V.","location":"Bochum"},"project":[{"_id":"641","name":"ComeMINT-Netzwerk. fortbilden durch vernetzen – vernetzen durch fortbilden. Gelingensbedingungen adaptiver MINT-Fortbildungsmodule in Community Networks."}]},{"page":"191-202","volume":1,"publication":"Lehkräftebildung in der digitalen Welt - Zukunftsorientierte Forschungs- und Praxisperspektiven","quality_controlled":"1","type":"book_chapter","main_file_link":[{"url":"https://www.waxmann.com/shop/download?tx_p2waxmann_download%5Baction%5D=download&tx_p2waxmann_download%5Bbuchnr%5D=4837&tx_p2waxmann_download%5Bcontroller%5D=Zeitschrift&cHash=8a25fe58c1166ed639ec8ef14076a936","open_access":"1"}],"oa":"1","user_id":"54823","title":"Der digitale Erste-Hilfe-Koffer - Unterstützung von Studierenden der Ernährungslehre im Bereich Chemie","_id":"57768","date_updated":"2025-12-15T08:59:07Z","date_created":"2024-12-13T16:40:18Z","publisher":"Waxmann","language":[{"iso":"ger"}],"year":"2024","status":"public","citation":{"apa":"Elsner, J., Buyken, A. E., Schulte, E. A., & Fechner, S. (2024). Der digitale Erste-Hilfe-Koffer - Unterstützung von Studierenden der Ernährungslehre im Bereich Chemie. In B. Herzig, B. Eickelmann, F. Schwabl, J. Schulze, & J. Niemann (Eds.), Lehkräftebildung in der digitalen Welt - Zukunftsorientierte Forschungs- und Praxisperspektiven (Vol. 1, pp. 191–202). Waxmann.","ama":"Elsner J, Buyken AE, Schulte EA, Fechner S. Der digitale Erste-Hilfe-Koffer - Unterstützung von Studierenden der Ernährungslehre im Bereich Chemie. In: Herzig B, Eickelmann B, Schwabl F, Schulze J, Niemann J, eds. Lehkräftebildung in der digitalen Welt - Zukunftsorientierte Forschungs- und Praxisperspektiven. Vol 1. Waxmann; 2024:191-202.","chicago":"Elsner, Julia, Anette E. Buyken, Eva Andrea Schulte, and Sabine Fechner. “Der digitale Erste-Hilfe-Koffer - Unterstützung von Studierenden der Ernährungslehre im Bereich Chemie.” In Lehkräftebildung in der digitalen Welt - Zukunftsorientierte Forschungs- und Praxisperspektiven, edited by Bardo Herzig, Birgit Eickelmann, Franszika Schwabl, Johanna Schulze, and Jan Niemann, 1:191–202. Waxmann, 2024.","ieee":"J. Elsner, A. E. Buyken, E. A. Schulte, and S. Fechner, “Der digitale Erste-Hilfe-Koffer - Unterstützung von Studierenden der Ernährungslehre im Bereich Chemie,” in Lehkräftebildung in der digitalen Welt - Zukunftsorientierte Forschungs- und Praxisperspektiven, vol. 1, B. Herzig, B. Eickelmann, F. Schwabl, J. Schulze, and J. Niemann, Eds. Waxmann, 2024, pp. 191–202.","mla":"Elsner, Julia, et al. “Der digitale Erste-Hilfe-Koffer - Unterstützung von Studierenden der Ernährungslehre im Bereich Chemie.” Lehkräftebildung in der digitalen Welt - Zukunftsorientierte Forschungs- und Praxisperspektiven, edited by Bardo Herzig et al., vol. 1, Waxmann, 2024, pp. 191–202.","bibtex":"@inbook{Elsner_Buyken_Schulte_Fechner_2024, title={Der digitale Erste-Hilfe-Koffer - Unterstützung von Studierenden der Ernährungslehre im Bereich Chemie}, volume={1}, booktitle={Lehkräftebildung in der digitalen Welt - Zukunftsorientierte Forschungs- und Praxisperspektiven}, publisher={Waxmann}, author={Elsner, Julia and Buyken, Anette E. and Schulte, Eva Andrea and Fechner, Sabine}, editor={Herzig, Bardo and Eickelmann, Birgit and Schwabl, Franszika and Schulze, Johanna and Niemann, Jan}, year={2024}, pages={191–202} }","short":"J. Elsner, A.E. Buyken, E.A. Schulte, S. Fechner, in: B. Herzig, B. Eickelmann, F. Schwabl, J. Schulze, J. Niemann (Eds.), Lehkräftebildung in der digitalen Welt - Zukunftsorientierte Forschungs- und Praxisperspektiven, Waxmann, 2024, pp. 191–202."},"department":[{"_id":"386"},{"_id":"33"}],"editor":[{"last_name":"Herzig","first_name":"Bardo","full_name":"Herzig, Bardo"},{"last_name":"Eickelmann","first_name":"Birgit","full_name":"Eickelmann, Birgit"},{"last_name":"Schwabl","full_name":"Schwabl, Franszika","first_name":"Franszika"},{"last_name":"Schulze","full_name":"Schulze, Johanna","first_name":"Johanna"},{"first_name":"Jan","full_name":"Niemann, Jan","last_name":"Niemann"}],"author":[{"first_name":"Julia","full_name":"Elsner, Julia","last_name":"Elsner","id":"54277"},{"first_name":"Anette E.","full_name":"Buyken, Anette E.","id":"65985","last_name":"Buyken"},{"first_name":"Eva Andrea","full_name":"Schulte, Eva Andrea","last_name":"Schulte"},{"orcid":"0000-0001-5645-5870","first_name":"Sabine","full_name":"Fechner, Sabine","last_name":"Fechner","id":"54823"}],"intvolume":" 1"},{"intvolume":" 1","place":"Baden-Baden","editor":[{"first_name":"Dominik","full_name":"Höink, Dominik","id":"90389","last_name":"Höink"},{"last_name":"Meyer","full_name":"Meyer, Andreas","first_name":"Andreas"}],"title":"Music and Religions in the 21st Century","department":[{"_id":"233"},{"_id":"550"},{"_id":"716"}],"user_id":"90389","publication_status":"published","series_title":"Musik und Religion","citation":{"short":"D. Höink, A. Meyer, eds., Music and Religions in the 21st Century, Tectum, Baden-Baden, 2024.","chicago":"Höink, Dominik, and Andreas Meyer, eds. Music and Religions in the 21st Century. Vol. 1. Musik Und Religion. Baden-Baden: Tectum, 2024.","ieee":"D. Höink and A. Meyer, Eds., Music and Religions in the 21st Century, vol. 1. Baden-Baden: Tectum, 2024.","mla":"Höink, Dominik, and Andreas Meyer, editors. Music and Religions in the 21st Century. Tectum, 2024.","ama":"Höink D, Meyer A, eds. Music and Religions in the 21st Century. Vol 1. Tectum; 2024.","bibtex":"@book{Höink_Meyer_2024, place={Baden-Baden}, series={Musik und Religion}, title={Music and Religions in the 21st Century}, volume={1}, publisher={Tectum}, year={2024}, collection={Musik und Religion} }","apa":"Höink, D., & Meyer, A. (Eds.). (2024). Music and Religions in the 21st Century (Vol. 1). Tectum."},"status":"public","publication_identifier":{"isbn":["978-3-8288-4979-2"]},"type":"book_editor","year":"2024","language":[{"iso":"eng"}],"publisher":"Tectum","date_created":"2024-11-26T13:08:59Z","date_updated":"2025-12-17T09:01:15Z","volume":1,"_id":"57441"},{"user_id":"31496","abstract":[{"text":"Abstract\r\n In a smoothly bounded convex domain \r\n \r\n \r\n Ω\r\n ⊂\r\n \r\n \r\n R\r\n \r\n \r\n n\r\n \r\n \r\n \r\n \r\n${\\Omega}\\subset {\\mathbb{R}}^{n}$\r\n\r\n \r\n \r\n with n ≥ 1, a no-flux initial-boundary value problem for\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n \r\n \r\n t\r\n \r\n \r\n =\r\n Δ\r\n \r\n \r\n u\r\n ϕ\r\n \r\n (\r\n \r\n v\r\n \r\n )\r\n \r\n \r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n v\r\n \r\n \r\n t\r\n \r\n \r\n =\r\n Δ\r\n v\r\n −\r\n u\r\n v\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n$$\\begin{cases}_{t}={\\Delta}\\left(u\\phi \\left(v\\right)\\right),\\quad \\hfill \\\\ {v}_{t}={\\Delta}v-uv,\\quad \\hfill \\end{cases}$$\r\n\r\n \r\n \r\n is considered under the assumption that near the origin, the function ϕ suitably generalizes the prototype given by\r\n \r\n \r\n ϕ\r\n \r\n (\r\n \r\n ξ\r\n \r\n )\r\n \r\n =\r\n \r\n \r\n ξ\r\n \r\n \r\n α\r\n \r\n \r\n ,\r\n \r\n ξ\r\n ∈\r\n \r\n [\r\n \r\n 0\r\n ,\r\n \r\n \r\n ξ\r\n \r\n \r\n 0\r\n \r\n \r\n \r\n ]\r\n \r\n .\r\n \r\n \r\n$$\\phi \\left(\\xi \\right)={\\xi }^{\\alpha },\\qquad \\xi \\in \\left[0,{\\xi }_{0}\\right].$$\r\n\r\n \r\n \r\n By means of separate approaches, it is shown that in both cases α ∈ (0, 1) and α ∈ [1, 2] some global weak solutions exist which, inter alia, satisfy\r\n \r\n \r\n C\r\n \r\n (\r\n \r\n T\r\n \r\n )\r\n \r\n ≔\r\n \r\n \r\n ess sup\r\n \r\n \r\n t\r\n ∈\r\n \r\n (\r\n \r\n 0\r\n ,\r\n T\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n ∫\r\n \r\n \r\n Ω\r\n \r\n \r\n u\r\n \r\n (\r\n \r\n ⋅\r\n ,\r\n t\r\n \r\n )\r\n \r\n ln\r\n ⁡\r\n u\r\n \r\n (\r\n \r\n ⋅\r\n ,\r\n t\r\n \r\n )\r\n \r\n <\r\n ∞\r\n \r\n for all \r\n T\r\n >\r\n 0\r\n ,\r\n \r\n \r\n$$C\\left(T\\right){:=}\\underset{t\\in \\left(0,T\\right)}{\\text{ess\\,sup}}{\\int }_{{\\Omega}}u\\left(\\cdot ,t\\right)\\mathrm{ln}u\\left(\\cdot ,t\\right){< }\\infty \\qquad \\text{for\\,all\\,}T{ >}0,$$\r\n\r\n \r\n \r\n with sup\r\n T>0\r\n C(T) < ∞ if α ∈ [1, 2].","lang":"eng"}],"doi":"10.1515/ans-2023-0131","title":"A degenerate migration-consumption model in domains of arbitrary dimension","issue":"3","volume":24,"page":"592-615","type":"journal_article","publication":"Advanced Nonlinear Studies","publication_status":"published","citation":{"ama":"Winkler M. A degenerate migration-consumption model in domains of arbitrary dimension. Advanced Nonlinear Studies. 2024;24(3):592-615. doi:10.1515/ans-2023-0131","apa":"Winkler, M. (2024). A degenerate migration-consumption model in domains of arbitrary dimension. Advanced Nonlinear Studies, 24(3), 592–615. https://doi.org/10.1515/ans-2023-0131","ieee":"M. Winkler, “A degenerate migration-consumption model in domains of arbitrary dimension,” Advanced Nonlinear Studies, vol. 24, no. 3, pp. 592–615, 2024, doi: 10.1515/ans-2023-0131.","chicago":"Winkler, Michael. “A Degenerate Migration-Consumption Model in Domains of Arbitrary Dimension.” Advanced Nonlinear Studies 24, no. 3 (2024): 592–615. https://doi.org/10.1515/ans-2023-0131.","bibtex":"@article{Winkler_2024, title={A degenerate migration-consumption model in domains of arbitrary dimension}, volume={24}, DOI={10.1515/ans-2023-0131}, number={3}, journal={Advanced Nonlinear Studies}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2024}, pages={592–615} }","mla":"Winkler, Michael. “A Degenerate Migration-Consumption Model in Domains of Arbitrary Dimension.” Advanced Nonlinear Studies, vol. 24, no. 3, Walter de Gruyter GmbH, 2024, pp. 592–615, doi:10.1515/ans-2023-0131.","short":"M. Winkler, Advanced Nonlinear Studies 24 (2024) 592–615."},"intvolume":" 24","author":[{"last_name":"Winkler","id":"31496","first_name":"Michael","full_name":"Winkler, Michael"}],"date_updated":"2025-12-18T20:10:00Z","_id":"63264","status":"public","language":[{"iso":"eng"}],"publication_identifier":{"issn":["2169-0375"]},"year":"2024","publisher":"Walter de Gruyter GmbH","date_created":"2025-12-18T19:09:41Z"},{"publication":"Mathematische Annalen","type":"journal_article","volume":391,"page":"3023-3054","issue":"2","title":"Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system","doi":"10.1007/s00208-024-02987-6","abstract":[{"text":"Abstract\r\n The Navier–Stokes system \r\n \r\n $$\\begin{aligned} \\left\\{ \\begin{array}{l} u_t + (u\\cdot \\nabla ) u =\\Delta u+\\nabla P + f(x,t), \\\\ \\nabla \\cdot u=0, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n t\r\n \r\n +\r\n \r\n (\r\n u\r\n ·\r\n ∇\r\n )\r\n \r\n u\r\n =\r\n Δ\r\n u\r\n +\r\n ∇\r\n P\r\n +\r\n f\r\n \r\n (\r\n x\r\n ,\r\n t\r\n )\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n ∇\r\n ·\r\n u\r\n =\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n is considered along with homogeneous Dirichlet boundary conditions in a smoothly bounded planar domain \r\n \r\n $$\\Omega $$\r\n \r\n Ω\r\n \r\n \r\n . It is firstly, inter alia, observed that if \r\n \r\n $$T>0$$\r\n \r\n \r\n T\r\n >\r\n 0\r\n \r\n \r\n \r\n and \r\n \r\n $$\\begin{aligned} \\int _0^T \\bigg \\{ \\int _\\Omega |f(x,t)| \\cdot \\ln ^\\frac{1}{2} \\big (|f(x,t)|+1\\big ) dx \\bigg \\}^2 dt <\\infty , \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n ∫\r\n 0\r\n T\r\n \r\n \r\n {\r\n \r\n \r\n ∫\r\n Ω\r\n \r\n \r\n |\r\n f\r\n \r\n (\r\n x\r\n ,\r\n t\r\n )\r\n \r\n |\r\n \r\n ·\r\n \r\n ln\r\n \r\n 1\r\n 2\r\n \r\n \r\n \r\n (\r\n \r\n \r\n |\r\n f\r\n \r\n (\r\n x\r\n ,\r\n t\r\n )\r\n \r\n |\r\n \r\n +\r\n 1\r\n \r\n )\r\n \r\n d\r\n x\r\n \r\n \r\n }\r\n \r\n 2\r\n \r\n d\r\n t\r\n <\r\n ∞\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n then for all divergence-free \r\n \r\n $$u_0\\in L^2(\\Omega ;{\\mathbb {R}}^2)$$\r\n \r\n \r\n \r\n u\r\n 0\r\n \r\n ∈\r\n \r\n L\r\n 2\r\n \r\n \r\n (\r\n Ω\r\n ;\r\n \r\n \r\n R\r\n \r\n 2\r\n \r\n )\r\n \r\n \r\n \r\n \r\n , a corresponding initial-boundary value problem admits a weak solution u with \r\n \r\n $$u|_{t=0}=u_0$$\r\n \r\n \r\n \r\n \r\n u\r\n |\r\n \r\n \r\n t\r\n =\r\n 0\r\n \r\n \r\n =\r\n \r\n u\r\n 0\r\n \r\n \r\n \r\n \r\n . For any positive and nondecreasing \r\n \r\n $$L\\in C^0([0,\\infty ))$$\r\n \r\n \r\n L\r\n ∈\r\n \r\n C\r\n 0\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n such that \r\n \r\n $$\\begin{aligned} \\frac{L(\\xi )}{\\ln ^\\frac{1}{2} \\xi } \\rightarrow 0 \\qquad \\text{ as } \\xi \\rightarrow \\infty , \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n L\r\n (\r\n ξ\r\n )\r\n \r\n \r\n \r\n ln\r\n \r\n 1\r\n 2\r\n \r\n \r\n ξ\r\n \r\n \r\n →\r\n 0\r\n \r\n \r\n as\r\n \r\n ξ\r\n →\r\n ∞\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n this is complemented by a statement on nonexistence of such a solution in the presence of smooth initial data and a suitably constructed \r\n \r\n $$f:\\Omega \\times (0,T)\\rightarrow {\\mathbb {R}}^2$$\r\n \r\n \r\n f\r\n :\r\n Ω\r\n ×\r\n \r\n (\r\n 0\r\n ,\r\n T\r\n )\r\n \r\n →\r\n \r\n \r\n R\r\n \r\n 2\r\n \r\n \r\n \r\n \r\n fulfilling \r\n \r\n $$\\begin{aligned} \\int _0^T \\bigg \\{ \\int _\\Omega |f(x,t)| \\cdot L\\big (|f(x,t)|\\big ) dx \\bigg \\}^2 dt < \\infty . \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n ∫\r\n 0\r\n T\r\n \r\n \r\n {\r\n \r\n \r\n ∫\r\n Ω\r\n \r\n \r\n |\r\n f\r\n \r\n (\r\n x\r\n ,\r\n t\r\n )\r\n \r\n |\r\n \r\n ·\r\n \r\n L\r\n \r\n (\r\n \r\n |\r\n f\r\n \r\n (\r\n x\r\n ,\r\n t\r\n )\r\n \r\n |\r\n \r\n )\r\n \r\n d\r\n x\r\n \r\n \r\n \r\n }\r\n \r\n 2\r\n \r\n d\r\n t\r\n <\r\n ∞\r\n .\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n This resolves a fine structure in the borderline case \r\n \r\n $$p=1$$\r\n \r\n \r\n p\r\n =\r\n 1\r\n \r\n \r\n \r\n and \r\n \r\n $$q=2$$\r\n \r\n \r\n q\r\n =\r\n 2\r\n \r\n \r\n \r\n appearing in results on existence of weak solutions for sources in \r\n \r\n $$L^q((0,T);L^p(\\Omega ;{\\mathbb {R}}^2))$$\r\n \r\n \r\n \r\n L\r\n q\r\n \r\n \r\n (\r\n \r\n (\r\n 0\r\n ,\r\n T\r\n )\r\n \r\n ;\r\n \r\n L\r\n p\r\n \r\n \r\n (\r\n Ω\r\n ;\r\n \r\n \r\n R\r\n \r\n 2\r\n \r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n when \r\n \r\n $$p\\in (1,\\infty ]$$\r\n \r\n \r\n p\r\n ∈\r\n (\r\n 1\r\n ,\r\n ∞\r\n ]\r\n \r\n \r\n \r\n and \r\n \r\n $$q\\in [1,\\infty ]$$\r\n \r\n \r\n q\r\n ∈\r\n [\r\n 1\r\n ,\r\n ∞\r\n ]\r\n \r\n \r\n \r\n satisfy \r\n \r\n $$\\frac{1}{p}+\\frac{1}{q}\\le \\frac{3}{2}$$\r\n \r\n \r\n \r\n 1\r\n p\r\n \r\n +\r\n \r\n 1\r\n q\r\n \r\n ≤\r\n \r\n 3\r\n 2\r\n \r\n \r\n \r\n \r\n , and on nonexistence if here \r\n \r\n $$p\\in [1,\\infty )$$\r\n \r\n \r\n p\r\n ∈\r\n [\r\n 1\r\n ,\r\n ∞\r\n )\r\n \r\n \r\n \r\n and \r\n \r\n $$q\\in [1,\\infty )$$\r\n \r\n \r\n q\r\n ∈\r\n [\r\n 1\r\n ,\r\n ∞\r\n )\r\n \r\n \r\n \r\n are such that \r\n \r\n $$\\frac{1}{p}+\\frac{1}{q}>\\frac{3}{2}$$\r\n \r\n \r\n \r\n 1\r\n p\r\n \r\n +\r\n \r\n 1\r\n q\r\n \r\n >\r\n \r\n 3\r\n 2\r\n \r\n \r\n \r\n \r\n .","lang":"eng"}],"user_id":"31496","publisher":"Springer Science and Business Media LLC","date_created":"2025-12-18T19:02:09Z","status":"public","publication_identifier":{"issn":["0025-5831","1432-1807"]},"year":"2024","language":[{"iso":"eng"}],"_id":"63248","date_updated":"2025-12-18T20:13:05Z","author":[{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"}],"intvolume":" 391","publication_status":"published","citation":{"mla":"Winkler, Michael. “Externally Forced Blow-up and Optimal Spaces for Source Regularity in the Two-Dimensional Navier–Stokes System.” Mathematische Annalen, vol. 391, no. 2, Springer Science and Business Media LLC, 2024, pp. 3023–54, doi:10.1007/s00208-024-02987-6.","apa":"Winkler, M. (2024). Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system. Mathematische Annalen, 391(2), 3023–3054. https://doi.org/10.1007/s00208-024-02987-6","ama":"Winkler M. Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system. Mathematische Annalen. 2024;391(2):3023-3054. doi:10.1007/s00208-024-02987-6","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={10.1007/s00208-024-02987-6}, number={2}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2024}, pages={3023–3054} }","short":"M. Winkler, Mathematische Annalen 391 (2024) 3023–3054.","chicago":"Winkler, Michael. “Externally Forced Blow-up and Optimal Spaces for Source Regularity in the Two-Dimensional Navier–Stokes System.” Mathematische Annalen 391, no. 2 (2024): 3023–54. https://doi.org/10.1007/s00208-024-02987-6.","ieee":"M. Winkler, “Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system,” Mathematische Annalen, vol. 391, no. 2, pp. 3023–3054, 2024, doi: 10.1007/s00208-024-02987-6."}},{"author":[{"first_name":"Christian","full_name":"Stinner, Christian","last_name":"Stinner"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler","id":"31496"}],"title":"A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects","intvolume":" 24","abstract":[{"text":"AbstractThe quasilinear Keller–Segel system$$\\begin{aligned} \\left\\{ \\begin{array}{l} u_t=\\nabla \\cdot (D(u)\\nabla u) - \\nabla \\cdot (S(u)\\nabla v), \\\\ v_t=\\Delta v-v+u, \\end{array}\\right. \\end{aligned}$$ut=∇·(D(u)∇u)-∇·(S(u)∇v),vt=Δv-v+u,endowed with homogeneous Neumann boundary conditions is considered in a bounded domain$$\\Omega \\subset {\\mathbb {R}}^n$$Ω⊂Rn,$$n \\ge 3$$n≥3, with smooth boundary for sufficiently regular functionsDandSsatisfying$$D>0$$D>0on$$[0,\\infty )$$[0,∞),$$S>0$$S>0on$$(0,\\infty )$$(0,∞)and$$S(0)=0$$S(0)=0. On the one hand, it is shown that if$$\\frac{S}{D}$$SDsatisfies the subcritical growth condition$$\\begin{aligned} \\frac{S(s)}{D(s)} \\le C s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge 1 \\qquad \\text{ with } \\text{ some } \\alpha < \\frac{2}{n} \\end{aligned}$$S(s)D(s)≤Csαforalls≥1withsomeα<2nand$$C>0$$C>0, then for any sufficiently regular initial data there exists a global weak energy solution such that$${ \\mathrm{{ess}}} \\sup _{t>0} \\Vert u(t) \\Vert _{L^p(\\Omega )}<\\infty $$esssupt>0‖u(t)‖Lp(Ω)<∞for some$$p > \\frac{2n}{n+2}$$p>2nn+2. On the other hand, if$$\\frac{S}{D}$$SDsatisfies the supercritical growth condition$$\\begin{aligned} \\frac{S(s)}{D(s)} \\ge c s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge 1 \\qquad \\text{ with } \\text{ some } \\alpha > \\frac{2}{n} \\end{aligned}$$S(s)D(s)≥csαforalls≥1withsomeα>2nand$$c>0$$c>0, 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$$\\alpha = \\frac{2}{n}$$α=2nfor$$n \\ge 3$$n≥3, without any additional assumption on the behavior ofD(s) as$$s \\rightarrow \\infty $$s→∞, in particular without requiring any algebraic lower bound forD. When applied to the Keller–Segel system with volume-filling effect for probability distribution functions of the type$$Q(s) = \\exp (-s^\\beta )$$Q(s)=exp(-sβ),$$s \\ge 0$$s≥0, for global solvability the exponent$$\\beta = \\frac{n-2}{n}$$β=n-2nis seen to be critical.","lang":"eng"}],"doi":"10.1007/s00028-024-00954-x","publication_status":"published","user_id":"31496","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.” Journal of Evolution Equations, vol. 24, no. 2, 26, Springer Science and Business Media LLC, 2024, doi:10.1007/s00028-024-00954-x.","ama":"Stinner C, Winkler M. A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. Journal of Evolution Equations. 2024;24(2). doi:10.1007/s00028-024-00954-x","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={10.1007/s00028-024-00954-x}, number={226}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Stinner, Christian and Winkler, Michael}, year={2024} }","apa":"Stinner, C., & Winkler, M. (2024). A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. Journal of Evolution Equations, 24(2), Article 26. https://doi.org/10.1007/s00028-024-00954-x","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.” Journal of Evolution Equations 24, no. 2 (2024). https://doi.org/10.1007/s00028-024-00954-x.","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,” Journal of Evolution Equations, vol. 24, no. 2, Art. no. 26, 2024, doi: 10.1007/s00028-024-00954-x."},"publisher":"Springer Science and Business Media LLC","date_created":"2025-12-18T19:06:36Z","publication":"Journal of Evolution Equations","status":"public","language":[{"iso":"eng"}],"type":"journal_article","publication_identifier":{"issn":["1424-3199","1424-3202"]},"year":"2024","volume":24,"_id":"63257","issue":"2","date_updated":"2025-12-18T20:14:21Z","article_number":"26"},{"abstract":[{"lang":"eng","text":"Abstract\r\n The Neumann problem for the Keller-Segel system \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n {\r\n \r\n \r\n \r\n \r\n u\r\n t\r\n \r\n =\r\n ∇\r\n ⋅\r\n \r\n (\r\n D\r\n \r\n (\r\n u\r\n )\r\n \r\n ∇\r\n u\r\n )\r\n \r\n −\r\n ∇\r\n ⋅\r\n \r\n (\r\n S\r\n \r\n (\r\n u\r\n )\r\n \r\n ∇\r\n v\r\n )\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n 0\r\n =\r\n Δ\r\n v\r\n −\r\n μ\r\n +\r\n u\r\n ,\r\n \r\n μ\r\n =\r\n \r\n −\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n ∫\r\n Ω\r\n \r\n u\r\n d\r\n x\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n is considered in n-dimensional balls Ω with \r\n \r\n \r\n \r\n n\r\n ⩾\r\n 2\r\n \r\n \r\n , with suitably regular and radially symmetric, radially nonincreasing initial data u\r\n 0. The functions D and S are only assumed to belong to \r\n \r\n \r\n \r\n \r\n C\r\n 2\r\n \r\n (\r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n )\r\n \r\n \r\n and to satisfy D > 0 and \r\n \r\n \r\n \r\n S\r\n ⩾\r\n 0\r\n \r\n \r\n on \r\n \r\n \r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n \r\n as well as \r\n \r\n \r\n \r\n S\r\n (\r\n 0\r\n )\r\n =\r\n 0\r\n \r\n \r\n ; in particular, diffusivities with arbitrarily fast decay are included.\r\n In this general context, it is shown that it is merely the asymptotic behavior as \r\n \r\n \r\n \r\n ξ\r\n →\r\n ∞\r\n \r\n \r\n of the expression \r\n \r\n \r\n \r\n \r\n \r\n \r\n I\r\n \r\n (\r\n ξ\r\n )\r\n \r\n :=\r\n \r\n \r\n S\r\n \r\n (\r\n ξ\r\n )\r\n \r\n \r\n \r\n \r\n ξ\r\n \r\n 2\r\n n\r\n \r\n \r\n D\r\n \r\n (\r\n ξ\r\n )\r\n \r\n \r\n \r\n ,\r\n \r\n ξ\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n which decides about the occurrence of blow-up: Namely, it is seen that\r\n\r\n \r\n •\r\n if \r\n \r\n \r\n \r\n \r\n lim\r\n \r\n ξ\r\n →\r\n ∞\r\n \r\n \r\n I\r\n (\r\n ξ\r\n )\r\n =\r\n 0\r\n \r\n \r\n , then any such solution is global and bounded, that\r\n \r\n \r\n •\r\n if \r\n \r\n \r\n \r\n \r\n lim sup\r\n \r\n ξ\r\n →\r\n ∞\r\n \r\n \r\n I\r\n (\r\n ξ\r\n )\r\n <\r\n ∞\r\n \r\n \r\n and \r\n \r\n \r\n \r\n \r\n ∫\r\n Ω\r\n \r\n \r\n u\r\n 0\r\n \r\n \r\n \r\n is suitably small, then the corresponding solution is global and bounded, and that\r\n \r\n \r\n •\r\n if \r\n \r\n \r\n \r\n \r\n lim inf\r\n \r\n ξ\r\n →\r\n ∞\r\n \r\n \r\n I\r\n (\r\n ξ\r\n )\r\n >\r\n 0\r\n \r\n \r\n , then at each appropriately large mass level m, there exist radial initial data u\r\n 0 such that \r\n \r\n \r\n \r\n \r\n ∫\r\n Ω\r\n \r\n \r\n u\r\n 0\r\n \r\n =\r\n m\r\n \r\n \r\n , and that the associated solution blows up either in finite or in infinite time.\r\n \r\n \r\n \r\n This especially reveals the presence of critical mass phenomena whenever \r\n \r\n \r\n \r\n \r\n lim\r\n \r\n ξ\r\n →\r\n ∞\r\n \r\n \r\n I\r\n (\r\n ξ\r\n )\r\n ∈\r\n (\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n \r\n exists."}],"intvolume":" 37","doi":"10.1088/1361-6544/ad871a","title":"Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture","author":[{"full_name":"Ding, Mengyao","first_name":"Mengyao","last_name":"Ding"},{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler","id":"31496"}],"citation":{"short":"M. Ding, M. Winkler, Nonlinearity 37 (2024).","mla":"Ding, Mengyao, and Michael Winkler. “Radial Blow-up in Quasilinear Keller-Segel Systems: Approaching the Full Picture.” Nonlinearity, vol. 37, no. 12, 125006, IOP Publishing, 2024, doi:10.1088/1361-6544/ad871a.","bibtex":"@article{Ding_Winkler_2024, title={Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture}, volume={37}, DOI={10.1088/1361-6544/ad871a}, number={12125006}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Ding, Mengyao and Winkler, Michael}, year={2024} }","chicago":"Ding, Mengyao, and Michael Winkler. “Radial Blow-up in Quasilinear Keller-Segel Systems: Approaching the Full Picture.” Nonlinearity 37, no. 12 (2024). https://doi.org/10.1088/1361-6544/ad871a.","ieee":"M. Ding and M. Winkler, “Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture,” Nonlinearity, vol. 37, no. 12, Art. no. 125006, 2024, doi: 10.1088/1361-6544/ad871a.","ama":"Ding M, Winkler M. Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture. Nonlinearity. 2024;37(12). doi:10.1088/1361-6544/ad871a","apa":"Ding, M., & Winkler, M. (2024). Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture. Nonlinearity, 37(12), Article 125006. https://doi.org/10.1088/1361-6544/ad871a"},"user_id":"31496","publication_status":"published","year":"2024","publication_identifier":{"issn":["0951-7715","1361-6544"]},"type":"journal_article","language":[{"iso":"eng"}],"status":"public","publication":"Nonlinearity","date_created":"2025-12-18T19:04:45Z","publisher":"IOP Publishing","article_number":"125006","date_updated":"2025-12-18T20:13:49Z","issue":"12","_id":"63253","volume":37},{"language":[{"iso":"eng"}],"year":"2024","type":"journal_article","publication_identifier":{"issn":["1422-6928","1422-6952"]},"status":"public","date_created":"2025-12-18T19:05:09Z","publication":"Journal of Mathematical Fluid Mechanics","publisher":"Springer Science and Business Media LLC","article_number":"60","issue":"4","date_updated":"2025-12-18T20:13:58Z","_id":"63254","volume":26,"doi":"10.1007/s00021-024-00899-8","abstract":[{"text":"AbstractThe chemotaxis-Navier–Stokes system $$\\begin{aligned} \\left\\{ \\begin{array}{rcl} n_t+u\\cdot \\nabla n & =& \\Delta \\big (n c^{-\\alpha } \\big ), \\\\ c_t+ u\\cdot \\nabla c & =& \\Delta c -nc,\\\\ u_t + (u\\cdot \\nabla ) u & =& \\Delta u+\\nabla P + n\\nabla \\Phi , \\qquad \\nabla \\cdot u=0, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n n\r\n t\r\n \r\n +\r\n u\r\n ·\r\n ∇\r\n n\r\n \r\n \r\n \r\n =\r\n \r\n \r\n \r\n Δ\r\n \r\n (\r\n \r\n n\r\n \r\n c\r\n \r\n -\r\n α\r\n \r\n \r\n \r\n )\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n c\r\n t\r\n \r\n +\r\n u\r\n ·\r\n ∇\r\n c\r\n \r\n \r\n \r\n =\r\n \r\n \r\n \r\n Δ\r\n c\r\n -\r\n n\r\n c\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n t\r\n \r\n +\r\n \r\n (\r\n u\r\n ·\r\n ∇\r\n )\r\n \r\n u\r\n \r\n \r\n \r\n =\r\n \r\n \r\n \r\n Δ\r\n u\r\n +\r\n ∇\r\n P\r\n +\r\n n\r\n ∇\r\n Φ\r\n ,\r\n \r\n ∇\r\n ·\r\n u\r\n =\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n modelling the behavior of aerobic bacteria in a fluid drop, is considered in a smoothly bounded domain $$\\Omega \\subset \\mathbb R^2$$\r\n \r\n Ω\r\n ⊂\r\n \r\n R\r\n 2\r\n \r\n \r\n . For all $$\\alpha > 0$$\r\n \r\n α\r\n >\r\n 0\r\n \r\n and all sufficiently regular $$\\Phi $$\r\n Φ\r\n , we construct global classical solutions and thereby extend recent results for the fluid-free analogue to the system coupled to a Navier–Stokes system. As a crucial new challenge, our analysis requires a priori estimates for u at a point in the proof when knowledge about n is essentially limited to the observation that the mass is conserved. To overcome this problem, we also prove new uniform-in-time $$L^p$$\r\n \r\n L\r\n p\r\n \r\n estimates for solutions to the inhomogeneous Navier–Stokes equations merely depending on the space-time $$L^2$$\r\n \r\n L\r\n 2\r\n \r\n norm of the force term raised to an arbitrary small power.","lang":"eng"}],"intvolume":" 26","title":"Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing","author":[{"first_name":"Mario","full_name":"Fuest, Mario","last_name":"Fuest"},{"full_name":"Winkler, Michael","first_name":"Michael","id":"31496","last_name":"Winkler"}],"citation":{"ieee":"M. Fuest and M. Winkler, “Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing,” Journal of Mathematical Fluid Mechanics, vol. 26, no. 4, Art. no. 60, 2024, doi: 10.1007/s00021-024-00899-8.","chicago":"Fuest, Mario, and Michael Winkler. “Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing.” Journal of Mathematical Fluid Mechanics 26, no. 4 (2024). https://doi.org/10.1007/s00021-024-00899-8.","short":"M. Fuest, M. Winkler, Journal of Mathematical Fluid Mechanics 26 (2024).","ama":"Fuest M, Winkler M. Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing. Journal of Mathematical Fluid Mechanics. 2024;26(4). doi:10.1007/s00021-024-00899-8","bibtex":"@article{Fuest_Winkler_2024, title={Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing}, volume={26}, DOI={10.1007/s00021-024-00899-8}, number={460}, journal={Journal of Mathematical Fluid Mechanics}, publisher={Springer Science and Business Media LLC}, author={Fuest, Mario and Winkler, Michael}, year={2024} }","apa":"Fuest, M., & Winkler, M. (2024). Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing. Journal of Mathematical Fluid Mechanics, 26(4), Article 60. https://doi.org/10.1007/s00021-024-00899-8","mla":"Fuest, Mario, and Michael Winkler. “Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing.” Journal of Mathematical Fluid Mechanics, vol. 26, no. 4, 60, Springer Science and Business Media LLC, 2024, doi:10.1007/s00021-024-00899-8."},"publication_status":"published","user_id":"31496"},{"_id":"63262","date_updated":"2025-12-18T20:14:59Z","publisher":"Springer Science and Business Media LLC","date_created":"2025-12-18T19:08:34Z","status":"public","year":"2024","publication_identifier":{"issn":["0021-2172","1565-8511"]},"language":[{"iso":"eng"}],"publication_status":"published","citation":{"ieee":"M. Winkler, “Complete infinite-time mass aggregation in a quasilinear Keller–Segel system,” Israel Journal of Mathematics, vol. 263, no. 1, pp. 93–127, 2024, doi: 10.1007/s11856-024-2618-9.","chicago":"Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” Israel Journal of Mathematics 263, no. 1 (2024): 93–127. https://doi.org/10.1007/s11856-024-2618-9.","apa":"Winkler, M. (2024). Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. Israel Journal of Mathematics, 263(1), 93–127. https://doi.org/10.1007/s11856-024-2618-9","ama":"Winkler M. Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. Israel Journal of Mathematics. 2024;263(1):93-127. doi:10.1007/s11856-024-2618-9","short":"M. Winkler, Israel Journal of Mathematics 263 (2024) 93–127.","bibtex":"@article{Winkler_2024, title={Complete infinite-time mass aggregation in a quasilinear Keller–Segel system}, volume={263}, DOI={10.1007/s11856-024-2618-9}, number={1}, journal={Israel Journal of Mathematics}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2024}, pages={93–127} }","mla":"Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” Israel Journal of Mathematics, vol. 263, no. 1, Springer Science and Business Media LLC, 2024, pp. 93–127, doi:10.1007/s11856-024-2618-9."},"author":[{"full_name":"Winkler, Michael","first_name":"Michael","id":"31496","last_name":"Winkler"}],"intvolume":" 263","volume":263,"page":"93-127","issue":"1","publication":"Israel Journal of Mathematics","type":"journal_article","user_id":"31496","title":"Complete infinite-time mass aggregation in a quasilinear Keller–Segel system","doi":"10.1007/s11856-024-2618-9","abstract":[{"text":"AbstractRadially symmetric global unbounded solutions of the chemotaxis system $$\\left\\{ {\\matrix{{{u_t} = \\nabla \\cdot (D(u)\\nabla u) - \\nabla \\cdot (uS(u)\\nabla v),} \\hfill & {} \\hfill \\cr {0 = \\Delta v - \\mu + u,} \\hfill & {\\mu = {1 \\over {|\\Omega |}}\\int_\\Omega {u,} } \\hfill \\cr } } \\right.$$\r\n \r\n \r\n {\r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n t\r\n \r\n =\r\n ∇\r\n ⋅\r\n (\r\n D\r\n (\r\n u\r\n )\r\n ∇\r\n u\r\n )\r\n −\r\n ∇\r\n ⋅\r\n (\r\n u\r\n S\r\n (\r\n u\r\n )\r\n ∇\r\n v\r\n )\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n 0\r\n =\r\n Δ\r\n v\r\n −\r\n μ\r\n +\r\n u\r\n ,\r\n \r\n \r\n \r\n \r\n μ\r\n =\r\n \r\n 1\r\n \r\n |\r\n Ω\r\n |\r\n \r\n \r\n \r\n \r\n \r\n ∫\r\n Ω\r\n \r\n \r\n u\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n are considered in a ball Ω = BR(0) ⊂ ℝn, where n ≥ 3 and R > 0.Under the assumption that D and S suitably generalize the prototypes given by D(ξ) = (ξ + ι)m−1 and S(ξ) = (ξ + 1)−λ−1 for all ξ > 0 and some m ∈ ℝ, λ >0 and ι ≥ 0 fulfilling $$m + \\lambda < 1 - {2 \\over n}$$\r\n m\r\n +\r\n λ\r\n <\r\n 1\r\n −\r\n \r\n 2\r\n n\r\n \r\n , a considerably large set of initial data u0 is found to enforce a complete mass aggregation in infinite time in the sense that for any such u0, an associated Neumann type initial-boundary value problem admits a global classical solution (u, v) satisfying $${1 \\over C} \\cdot {(t + 1)^{{1 \\over \\lambda }}} \\le ||u( \\cdot ,t)|{|_{{L^\\infty }(\\Omega )}} \\le C \\cdot {(t + 1)^{{1 \\over \\lambda }}}\\,\\,\\,{\\rm{for}}\\,\\,{\\rm{all}}\\,\\,t > 0$$\r\n \r\n \r\n 1\r\n C\r\n \r\n \r\n ⋅\r\n \r\n (\r\n t\r\n +\r\n 1\r\n \r\n )\r\n \r\n \r\n \r\n 1\r\n λ\r\n \r\n \r\n \r\n \r\n \r\n ≤\r\n \r\n |\r\n \r\n \r\n |\r\n \r\n u\r\n (\r\n ⋅\r\n ,\r\n t\r\n )\r\n \r\n |\r\n \r\n \r\n \r\n \r\n |\r\n \r\n \r\n \r\n \r\n L\r\n ∞\r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n ≤\r\n C\r\n ⋅\r\n \r\n (\r\n t\r\n +\r\n 1\r\n \r\n )\r\n \r\n \r\n \r\n 1\r\n λ\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n f\r\n o\r\n r\r\n \r\n \r\n \r\n \r\n \r\n \r\n a\r\n l\r\n l\r\n \r\n \r\n \r\n \r\n t\r\n >\r\n 0\r\n as well as $$||u( \\cdot \\,,t)|{|_{{L^1}(\\Omega \\backslash {B_{{r_0}}}(0))}} \\to 0\\,\\,\\,{\\rm{as}}\\,\\,t \\to \\infty \\,\\,\\,{\\rm{for}}\\,\\,{\\rm{all}}\\,\\,{r_0} \\in (0,R)$$\r\n |\r\n |\r\n u\r\n (\r\n ⋅\r\n ,\r\n t\r\n )\r\n |\r\n \r\n |\r\n \r\n \r\n L\r\n 1\r\n \r\n (\r\n Ω\r\n \\\r\n \r\n B\r\n \r\n \r\n r\r\n 0\r\n \r\n \r\n \r\n (\r\n 0\r\n )\r\n )\r\n \r\n \r\n →\r\n 0\r\n as\r\n t\r\n →\r\n ∞\r\n for all\r\n \r\n r\r\n 0\r\n \r\n ∈\r\n (\r\n 0\r\n ,\r\n R\r\n )\r\n with some C > 0.","lang":"eng"}]},{"date_created":"2025-11-27T13:15:23Z","publisher":"Royal Society of Chemistry (RSC)","language":[{"iso":"eng"}],"year":"2024","publication_identifier":{"issn":["1466-8033"]},"status":"public","_id":"62665","date_updated":"2026-01-08T13:06:20Z","author":[{"first_name":"Valoise Brenda","full_name":"Nguepmeni Eloundou, Valoise Brenda","last_name":"Nguepmeni Eloundou"},{"first_name":"Patrice","full_name":"Kenfack Tsobnang, Patrice","last_name":"Kenfack Tsobnang"},{"last_name":"Kamgaing","first_name":"Theophile","full_name":"Kamgaing, Theophile"},{"first_name":"Chiranjib","full_name":"Gogoi, Chiranjib","last_name":"Gogoi"},{"id":"98120","last_name":"Lopez Salas","first_name":"Nieves","full_name":"Lopez Salas, Nieves","orcid":"https://orcid.org/0000-0002-8438-9548"},{"full_name":"Bourne, Susan A.","first_name":"Susan A.","last_name":"Bourne"}],"intvolume":" 26","citation":{"bibtex":"@article{Nguepmeni Eloundou_Kenfack Tsobnang_Kamgaing_Gogoi_Lopez Salas_Bourne_2024, title={Crystal engineering and sorption studies on CN- and dipyridyl-bridged 2D coordination polymers}, volume={26}, DOI={10.1039/d4ce00459k}, number={31}, journal={CrystEngComm}, publisher={Royal Society of Chemistry (RSC)}, author={Nguepmeni Eloundou, Valoise Brenda and Kenfack Tsobnang, Patrice and Kamgaing, Theophile and Gogoi, Chiranjib and Lopez Salas, Nieves and Bourne, Susan A.}, year={2024}, pages={4195–4204} }","mla":"Nguepmeni Eloundou, Valoise Brenda, et al. “Crystal Engineering and Sorption Studies on CN- and Dipyridyl-Bridged 2D Coordination Polymers.” CrystEngComm, vol. 26, no. 31, Royal Society of Chemistry (RSC), 2024, pp. 4195–204, doi:10.1039/d4ce00459k.","short":"V.B. Nguepmeni Eloundou, P. Kenfack Tsobnang, T. Kamgaing, C. Gogoi, N. Lopez Salas, S.A. Bourne, CrystEngComm 26 (2024) 4195–4204.","apa":"Nguepmeni Eloundou, V. B., Kenfack Tsobnang, P., Kamgaing, T., Gogoi, C., Lopez Salas, N., & Bourne, S. A. (2024). Crystal engineering and sorption studies on CN- and dipyridyl-bridged 2D coordination polymers. CrystEngComm, 26(31), 4195–4204. https://doi.org/10.1039/d4ce00459k","ama":"Nguepmeni Eloundou VB, Kenfack Tsobnang P, Kamgaing T, Gogoi C, Lopez Salas N, Bourne SA. Crystal engineering and sorption studies on CN- and dipyridyl-bridged 2D coordination polymers. CrystEngComm. 2024;26(31):4195-4204. doi:10.1039/d4ce00459k","ieee":"V. B. Nguepmeni Eloundou, P. Kenfack Tsobnang, T. Kamgaing, C. Gogoi, N. Lopez Salas, and S. A. Bourne, “Crystal engineering and sorption studies on CN- and dipyridyl-bridged 2D coordination polymers,” CrystEngComm, vol. 26, no. 31, pp. 4195–4204, 2024, doi: 10.1039/d4ce00459k.","chicago":"Nguepmeni Eloundou, Valoise Brenda, Patrice Kenfack Tsobnang, Theophile Kamgaing, Chiranjib Gogoi, Nieves Lopez Salas, and Susan A. Bourne. “Crystal Engineering and Sorption Studies on CN- and Dipyridyl-Bridged 2D Coordination Polymers.” CrystEngComm 26, no. 31 (2024): 4195–4204. https://doi.org/10.1039/d4ce00459k."},"publication_status":"published","publication":"CrystEngComm","type":"journal_article","page":"4195-4204","volume":26,"issue":"31","title":"Crystal engineering and sorption studies on CN- and dipyridyl-bridged 2D coordination polymers","doi":"10.1039/d4ce00459k","abstract":[{"text":"Structure–property relationships were studied in two coordination polymers {[Ni(bpe)(H2O)2][Ni(CN)4]·2 H2O}n and {[Cu(bpe)(H2O)2][Ni(CN)4]·ethanol}n. We show that the length of the ligand does not control the synthesis of Hofmann-type polymers.","lang":"eng"}],"user_id":"98120"},{"author":[{"last_name":"Li","full_name":"Li, Jiaxin","first_name":"Jiaxin"},{"first_name":"Yaolin","full_name":"Xu, Yaolin","last_name":"Xu"},{"full_name":"Li, Pengzhou","first_name":"Pengzhou","last_name":"Li"},{"full_name":"Völkel, Antje","first_name":"Antje","last_name":"Völkel"},{"full_name":"Saldaña, Fernando Igoa","first_name":"Fernando Igoa","last_name":"Saldaña"},{"last_name":"Antonietti","full_name":"Antonietti, Markus","first_name":"Markus"},{"full_name":"Lopez Salas, Nieves","first_name":"Nieves","last_name":"Lopez Salas"},{"last_name":"Odziomek","full_name":"Odziomek, Mateusz","first_name":"Mateusz"}],"title":"Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect","intvolume":" 36","abstract":[{"text":"AbstractFacile 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 (<20%) and poor control over porosity and composition especially when high SSAs are targeted (>2000 m2 g−1) 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 m2 g−1. 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−1 (567 F g−1) and durability of 100 000 cycles as cathodes of Zn‐ion capacitors, showing their potential for electrochemical energy storage.","lang":"eng"}],"doi":"10.1002/adma.202311655","publication_status":"published","user_id":"98120","citation":{"ama":"Li J, Xu Y, Li P, et al. Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect. Advanced Materials. 2024;36(18). doi:10.1002/adma.202311655","apa":"Li, J., Xu, Y., Li, P., Völkel, A., Saldaña, F. I., Antonietti, M., Lopez Salas, N., & Odziomek, M. (2024). Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect. Advanced Materials, 36(18), Article 2311655. https://doi.org/10.1002/adma.202311655","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.” Advanced Materials 36, no. 18 (2024). https://doi.org/10.1002/adma.202311655.","ieee":"J. Li et al., “Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect,” Advanced Materials, vol. 36, no. 18, Art. no. 2311655, 2024, doi: 10.1002/adma.202311655.","mla":"Li, Jiaxin, et al. “Beyond Conventional Carbon Activation: Creating Porosity without Etching Using Cesium Effect.” Advanced Materials, vol. 36, no. 18, 2311655, Wiley, 2024, doi:10.1002/adma.202311655.","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={10.1002/adma.202311655}, 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} }","short":"J. Li, Y. Xu, P. Li, A. Völkel, F.I. Saldaña, M. Antonietti, N. Lopez Salas, M. Odziomek, Advanced Materials 36 (2024)."},"publisher":"Wiley","date_created":"2025-11-27T13:15:45Z","publication":"Advanced Materials","status":"public","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0935-9648","1521-4095"]},"type":"journal_article","year":"2024","volume":36,"_id":"62668","issue":"18","date_updated":"2026-01-08T13:09:11Z","article_number":"2311655"},{"citation":{"ama":"Mersch KU. Brown, Warren: Beyond the Monastery Walls. 2023, xiv, 385 S.: Illustrationen, Karten. - ISBN 978-1-108-47958-5. Deutsches Archiv für Erforschung des Mittelalters. 2024;80(2):722.","apa":"Mersch, K. U. (2024). Brown, Warren: Beyond the Monastery Walls. 2023, xiv, 385 S.: Illustrationen, Karten. - ISBN 978-1-108-47958-5. In Deutsches Archiv für Erforschung des Mittelalters (Vol. 80, Issue 2, p. 722).","ieee":"K. U. Mersch, “Brown, Warren: Beyond the Monastery Walls. 2023, xiv, 385 S.: Illustrationen, Karten. - ISBN 978-1-108-47958-5,” Deutsches Archiv für Erforschung des Mittelalters, vol. 80, no. 2. p. 722, 2024.","chicago":"Mersch, Katharina Ulrike. “Brown, Warren: Beyond the Monastery Walls. 2023, xiv, 385 S.: Illustrationen, Karten. - ISBN 978-1-108-47958-5.” Deutsches Archiv für Erforschung des Mittelalters, 2024.","bibtex":"@article{Mersch_2024, title={Brown, Warren: Beyond the Monastery Walls. 2023, xiv, 385 S.: Illustrationen, Karten. - ISBN 978-1-108-47958-5}, volume={80}, number={2}, journal={Deutsches Archiv für Erforschung des Mittelalters}, author={Mersch, Katharina Ulrike}, year={2024}, pages={722} }","mla":"Mersch, Katharina Ulrike. “Brown, Warren: Beyond the Monastery Walls. 2023, xiv, 385 S.: Illustrationen, Karten. - ISBN 978-1-108-47958-5.” Deutsches Archiv für Erforschung des Mittelalters, vol. 80, no. 2, 2024, p. 722.","short":"K.U. Mersch, Deutsches Archiv für Erforschung des Mittelalters 80 (2024) 722."},"main_file_link":[{"url":"https://www.mgh-bibliothek.de/da/img/da802_55.pdf"}],"publication_status":"published","user_id":"125834","title":"Brown, Warren: Beyond the Monastery Walls. 2023, xiv, 385 S.: Illustrationen, Karten. - ISBN 978-1-108-47958-5","extern":"1","author":[{"first_name":"Katharina Ulrike","full_name":"Mersch, Katharina Ulrike","last_name":"Mersch","id":"125834","orcid":"0009-0003-0843-1868"}],"intvolume":" 80","_id":"64977","page":"722","volume":80,"issue":"2","date_updated":"2026-03-15T16:23:23Z","date_created":"2026-03-15T16:23:16Z","publication":"Deutsches Archiv für Erforschung des Mittelalters","language":[{"iso":"ger"}],"year":"2024","type":"review","status":"public"},{"publisher":"Textum","date_created":"2025-01-09T13:58:45Z","status":"public","language":[{"iso":"eng"}],"type":"conference","publication_identifier":{"unknown":["978-3-8288-4979-2"]},"year":"2024","page":"27-71","_id":"58131","date_updated":"2026-04-18T14:10:57Z","editor":[{"full_name":"Höink, Dominik","first_name":"Dominik","last_name":"Höink"}],"author":[{"first_name":"Antje","full_name":"Tumat, Antje","last_name":"Tumat","id":"72268","orcid":"0009-0002-9132-0925"}],"title":"Weltethos and wunderzaichen: Religion in the Music of the Western Avant-garde","place":"Baden-Baden","publication_status":"published","corporate_editor":["Andreas Meyer"],"user_id":"72268","citation":{"ama":"Tumat A. Weltethos and wunderzaichen: Religion in the Music of the Western Avant-garde. Höink D, Andreas Meyer, eds. Published online 2024:27-71.","apa":"Tumat, A. (2024). Weltethos and wunderzaichen: Religion in the Music of the Western Avant-garde (D. Höink & Andreas Meyer, Eds.; pp. 27–71). Textum.","chicago":"Tumat, Antje. “Weltethos and Wunderzaichen: Religion in the Music of the Western Avant-Garde.” Edited by Dominik Höink and Andreas Meyer. Music and Religions in the 21st Century. Baden-Baden: Textum, 2024.","ieee":"A. Tumat, “Weltethos and wunderzaichen: Religion in the Music of the Western Avant-garde.” Textum, Baden-Baden, pp. 27–71, 2024.","mla":"Tumat, Antje. Weltethos and Wunderzaichen: Religion in the Music of the Western Avant-Garde. Edited by Dominik Höink and Andreas Meyer, Textum, 2024, pp. 27–71.","bibtex":"@article{Tumat_2024, place={Baden-Baden}, series={Music and Religions in the 21st century}, title={Weltethos and wunderzaichen: Religion in the Music of the Western Avant-garde}, publisher={Textum}, author={Tumat, Antje}, editor={Höink, Dominik and Andreas Meyer}, year={2024}, pages={27–71}, collection={Music and Religions in the 21st century} }","short":"A. Tumat, (2024) 27–71."},"series_title":"Music and Religions in the 21st century","department":[{"_id":"233"},{"_id":"856"}]},{"abstract":[{"lang":"eng","text":"Side-channel attacks on elliptic curve cryptography (ECC) often assume a white-box attacker who has detailed knowledge of the implementation choices taken by the target implementation. Due to the complex and layered nature of ECC, there are many choices that a developer makes to obtain a functional and interoperable implementation. These include the curve model, coordinate system, addition formulas, and the scalar multiplier, or lower-level details such as the finite-field multiplication algorithm. This creates a gap between the attack requirements and a real-world attacker that often only has black-box access to the target – i.e., has no access to the source code nor knowledge of specific implementation choices made. Yet, when the gap is closed, even real-world implementations of ECC succumb to side-channel attacks, as evidenced by attacks such as TPM-Fail, Minerva, the Side Journey to Titan, or TPMScan [MSE+20; JSS+20; RLM+21; SDB+24].We study this gap by first analyzing open-source ECC libraries for insight into realworld implementation choices. We then examine the space of all ECC implementations combinatorially. Finally, we present a set of novel methods for automated reverse engineering of black-box ECC implementations and release a documented and usable open-source toolkit for side-channel analysis of ECC called pyecsca.Our methods turn attacks around: instead of attempting to recover the private key, they attempt to recover the implementation configuration given control over the private and public inputs. We evaluate them on two simulation levels and study the effect of noise on their performance. Our methods are able to 1) reverse-engineer the scalar multiplication algorithm completely and 2) infer significant information about the coordinate system and addition formulas used in a target implementation. Furthermore, they can bypass coordinate and curve randomization countermeasures."}],"intvolume":" 2024","doi":"10.46586/tches.v2024.i4.355-381","author":[{"first_name":"Jan","full_name":"Jancar, Jan","last_name":"Jancar"},{"first_name":"Vojtech","full_name":"Suchanek, Vojtech","last_name":"Suchanek"},{"full_name":"Svenda, Petr","first_name":"Petr","last_name":"Svenda"},{"last_name":"Sedlacek","first_name":"Vladimir","full_name":"Sedlacek, Vladimir"},{"first_name":"Łukasz","full_name":"Chmielewski, Łukasz","last_name":"Chmielewski"}],"title":"pyecsca: Reverse engineering black-box elliptic curve cryptography via side-channel analysis","publication_status":"published","user_id":"125442","citation":{"bibtex":"@article{Jancar_Suchanek_Svenda_Sedlacek_Chmielewski_2024, title={pyecsca: Reverse engineering black-box elliptic curve cryptography via side-channel analysis}, volume={2024}, DOI={10.46586/tches.v2024.i4.355-381}, number={4}, journal={IACR Transactions on Cryptographic Hardware and Embedded Systems}, publisher={Universitatsbibliothek der Ruhr-Universitat Bochum}, author={Jancar, Jan and Suchanek, Vojtech and Svenda, Petr and Sedlacek, Vladimir and Chmielewski, Łukasz}, year={2024}, pages={355–381} }","mla":"Jancar, Jan, et al. “Pyecsca: Reverse Engineering Black-Box Elliptic Curve Cryptography via Side-Channel Analysis.” IACR Transactions on Cryptographic Hardware and Embedded Systems, vol. 2024, no. 4, Universitatsbibliothek der Ruhr-Universitat Bochum, 2024, pp. 355–81, doi:10.46586/tches.v2024.i4.355-381.","short":"J. Jancar, V. Suchanek, P. Svenda, V. Sedlacek, Ł. Chmielewski, IACR Transactions on Cryptographic Hardware and Embedded Systems 2024 (2024) 355–381.","apa":"Jancar, J., Suchanek, V., Svenda, P., Sedlacek, V., & Chmielewski, Ł. (2024). pyecsca: Reverse engineering black-box elliptic curve cryptography via side-channel analysis. IACR Transactions on Cryptographic Hardware and Embedded Systems, 2024(4), 355–381. https://doi.org/10.46586/tches.v2024.i4.355-381","ama":"Jancar J, Suchanek V, Svenda P, Sedlacek V, Chmielewski Ł. pyecsca: Reverse engineering black-box elliptic curve cryptography via side-channel analysis. IACR Transactions on Cryptographic Hardware and Embedded Systems. 2024;2024(4):355-381. doi:10.46586/tches.v2024.i4.355-381","ieee":"J. Jancar, V. Suchanek, P. Svenda, V. Sedlacek, and Ł. Chmielewski, “pyecsca: Reverse engineering black-box elliptic curve cryptography via side-channel analysis,” IACR Transactions on Cryptographic Hardware and Embedded Systems, vol. 2024, no. 4, pp. 355–381, 2024, doi: 10.46586/tches.v2024.i4.355-381.","chicago":"Jancar, Jan, Vojtech Suchanek, Petr Svenda, Vladimir Sedlacek, and Łukasz Chmielewski. “Pyecsca: Reverse Engineering Black-Box Elliptic Curve Cryptography via Side-Channel Analysis.” IACR Transactions on Cryptographic Hardware and Embedded Systems 2024, no. 4 (2024): 355–81. https://doi.org/10.46586/tches.v2024.i4.355-381."},"status":"public","year":"2024","publication_identifier":{"issn":["2569-2925"]},"type":"journal_article","publisher":"Universitatsbibliothek der Ruhr-Universitat Bochum","date_created":"2026-04-30T09:31:41Z","publication":"IACR Transactions on Cryptographic Hardware and Embedded Systems","issue":"4","date_updated":"2026-04-30T09:32:37Z","volume":2024,"page":"355-381","_id":"65535"},{"citation":{"short":"T. Rust, D. Jung, K. Langer, D. Kuckling, Polymer International 72 (2023) 5–19.","bibtex":"@article{Rust_Jung_Langer_Kuckling_2023, title={Stimuli‐accelerated polymeric drug delivery systems}, volume={72}, DOI={10.1002/pi.6474}, number={1}, journal={Polymer International}, publisher={Wiley}, author={Rust, Tarik and Jung, Dimitri and Langer, Klaus and Kuckling, Dirk}, year={2023}, pages={5–19} }","mla":"Rust, Tarik, et al. “Stimuli‐accelerated Polymeric Drug Delivery Systems.” Polymer International, vol. 72, no. 1, Wiley, 2023, pp. 5–19, doi:10.1002/pi.6474.","ieee":"T. Rust, D. Jung, K. Langer, and D. Kuckling, “Stimuli‐accelerated polymeric drug delivery systems,” Polymer International, vol. 72, no. 1, pp. 5–19, 2023, doi: 10.1002/pi.6474.","chicago":"Rust, Tarik, Dimitri Jung, Klaus Langer, and Dirk Kuckling. “Stimuli‐accelerated Polymeric Drug Delivery Systems.” Polymer International 72, no. 1 (2023): 5–19. https://doi.org/10.1002/pi.6474.","ama":"Rust T, Jung D, Langer K, Kuckling D. Stimuli‐accelerated polymeric drug delivery systems. Polymer International. 2023;72(1):5-19. doi:10.1002/pi.6474","apa":"Rust, T., Jung, D., Langer, K., & Kuckling, D. (2023). Stimuli‐accelerated polymeric drug delivery systems. Polymer International, 72(1), 5–19. https://doi.org/10.1002/pi.6474"},"publication_status":"published","department":[{"_id":"163"}],"article_type":"original","author":[{"full_name":"Rust, Tarik","first_name":"Tarik","last_name":"Rust"},{"full_name":"Jung, Dimitri","first_name":"Dimitri","last_name":"Jung"},{"first_name":"Klaus","full_name":"Langer, Klaus","last_name":"Langer"},{"last_name":"Kuckling","id":"287","first_name":"Dirk","full_name":"Kuckling, Dirk"}],"intvolume":" 72","_id":"35657","date_updated":"2023-01-10T08:31:31Z","date_created":"2023-01-10T08:25:22Z","publisher":"Wiley","year":"2023","publication_identifier":{"issn":["0959-8103","1097-0126"]},"language":[{"iso":"eng"}],"status":"public","user_id":"94","main_file_link":[{"url":"https://onlinelibrary.wiley.com/doi/10.1002/pi.6474"}],"keyword":["drug delivery system","stimuli","polymer","cleavable"],"title":"Stimuli‐accelerated polymeric drug delivery systems","abstract":[{"text":"The controlled delivery of active pharmaceutical ingredients to the site of disease represents a major challenge in drug therapy. Particularly when drugs have to be transported across biological barriers, suitable drug delivery systems are of importance. In recent years responsive delivery systems have been developed which enable a controlled drug release depending on internal or external stimuli such as changes in pH, redox environment or light and temperature. In some studies delivery systems with reactivity against two different stimuli were established either to enhance the response by synergies of the stimuli or to broaden the window of possible trigger events. In the present review numerous exciting developments of pH-, light- and redox-cleavable polymers suitable for the preparation of smart delivery systems are described. The review discusses the different stimuli that can be used for a controlled drug release of polymer-based delivery systems. It puts a focus on the different polymers described for the preparation of stimuli-sensitive systems, their preparation techniques as well as their stimuli-responsive degradation. © 2022 The Authors. Polymer International published by John Wiley & Sons Ltd on behalf of Society of Industrial Chemistry.","lang":"eng"}],"doi":"10.1002/pi.6474","page":"5-19","volume":72,"issue":"1","publication":"Polymer International","type":"journal_article"},{"date_updated":"2023-10-03T09:11:14Z","_id":"45826","publication_identifier":{"issn":["2690-0637","2690-0637"]},"year":"2023","language":[{"iso":"eng"}],"status":"public","date_created":"2023-07-01T15:47:46Z","publisher":"American Chemical Society (ACS)","department":[{"_id":"633"}],"citation":{"ieee":"V. A. Niemann, M. Huck, H.-G. Steinrück, M. F. Toney, W. A. Tarpeh, and S. E. Bone, “X-ray Absorption Spectroscopy Reveals Mechanisms of Calcium and Silicon Fouling on Reverse Osmosis Membranes Used in Wastewater Reclamation,” ACS ES&T Water, vol. 3, pp. 2627–2637, 2023, doi: 10.1021/acsestwater.3c00144.","chicago":"Niemann, Valerie A., Marten Huck, Hans-Georg Steinrück, Michael F. Toney, William A. Tarpeh, and Sharon E. Bone. “X-Ray Absorption Spectroscopy Reveals Mechanisms of Calcium and Silicon Fouling on Reverse Osmosis Membranes Used in Wastewater Reclamation.” ACS ES&T Water 3 (2023): 2627–37. https://doi.org/10.1021/acsestwater.3c00144.","ama":"Niemann VA, Huck M, Steinrück H-G, Toney MF, Tarpeh WA, Bone SE. X-ray Absorption Spectroscopy Reveals Mechanisms of Calcium and Silicon Fouling on Reverse Osmosis Membranes Used in Wastewater Reclamation. ACS ES&T Water. 2023;3:2627-2637. doi:10.1021/acsestwater.3c00144","apa":"Niemann, V. A., Huck, M., Steinrück, H.-G., Toney, M. F., Tarpeh, W. A., & Bone, S. E. (2023). X-ray Absorption Spectroscopy Reveals Mechanisms of Calcium and Silicon Fouling on Reverse Osmosis Membranes Used in Wastewater Reclamation. ACS ES&T Water, 3, 2627–2637. https://doi.org/10.1021/acsestwater.3c00144","short":"V.A. Niemann, M. Huck, H.-G. Steinrück, M.F. Toney, W.A. Tarpeh, S.E. Bone, ACS ES&T Water 3 (2023) 2627–2637.","bibtex":"@article{Niemann_Huck_Steinrück_Toney_Tarpeh_Bone_2023, title={X-ray Absorption Spectroscopy Reveals Mechanisms of Calcium and Silicon Fouling on Reverse Osmosis Membranes Used in Wastewater Reclamation}, volume={3}, DOI={10.1021/acsestwater.3c00144}, journal={ACS ES&T Water}, publisher={American Chemical Society (ACS)}, author={Niemann, Valerie A. and Huck, Marten and Steinrück, Hans-Georg and Toney, Michael F. and Tarpeh, William A. and Bone, Sharon E.}, year={2023}, pages={2627–2637} }","mla":"Niemann, Valerie A., et al. “X-Ray Absorption Spectroscopy Reveals Mechanisms of Calcium and Silicon Fouling on Reverse Osmosis Membranes Used in Wastewater Reclamation.” ACS ES&T Water, vol. 3, American Chemical Society (ACS), 2023, pp. 2627–37, doi:10.1021/acsestwater.3c00144."},"publication_status":"published","intvolume":" 3","author":[{"full_name":"Niemann, Valerie A.","first_name":"Valerie A.","last_name":"Niemann"},{"first_name":"Marten","full_name":"Huck, Marten","last_name":"Huck"},{"last_name":"Steinrück","id":"84268","first_name":"Hans-Georg","full_name":"Steinrück, Hans-Georg","orcid":"0000-0001-6373-0877"},{"first_name":"Michael F.","full_name":"Toney, Michael F.","last_name":"Toney"},{"last_name":"Tarpeh","full_name":"Tarpeh, William A.","first_name":"William A."},{"last_name":"Bone","full_name":"Bone, Sharon E.","first_name":"Sharon E."}],"page":"2627-2637","volume":3,"type":"journal_article","publication":"ACS ES&T Water","user_id":"84268","keyword":["Water Science and Technology","Environmental Chemistry","Chemistry (miscellaneous)","Chemical Engineering (miscellaneous)"],"doi":"10.1021/acsestwater.3c00144","title":"X-ray Absorption Spectroscopy Reveals Mechanisms of Calcium and Silicon Fouling on Reverse Osmosis Membranes Used in Wastewater Reclamation"},{"doi":"10.1038/s41557-023-01340-9","title":"A crystalline aluminium–carbon-based ambiphile capable of activation and catalytic transfer of ammonia in non-aqueous media","author":[{"full_name":"Krämer, Felix","first_name":"Felix","last_name":"Krämer"},{"full_name":"Paradies, Jan","first_name":"Jan","id":"53339","last_name":"Paradies","orcid":"0000-0002-3698-668X"},{"first_name":"Israel","full_name":"Fernández, Israel","last_name":"Fernández"},{"first_name":"Frank","full_name":"Breher, Frank","last_name":"Breher"}],"department":[{"_id":"2"},{"_id":"389"}],"citation":{"bibtex":"@article{Krämer_Paradies_Fernández_Breher_2023, title={A crystalline aluminium–carbon-based ambiphile capable of activation and catalytic transfer of ammonia in non-aqueous media}, DOI={10.1038/s41557-023-01340-9}, journal={Nature Chemistry}, publisher={Springer Science and Business Media LLC}, author={Krämer, Felix and Paradies, Jan and Fernández, Israel and Breher, Frank}, year={2023} }","mla":"Krämer, Felix, et al. “A Crystalline Aluminium–Carbon-Based Ambiphile Capable of Activation and Catalytic Transfer of Ammonia in Non-Aqueous Media.” Nature Chemistry, Springer Science and Business Media LLC, 2023, doi:10.1038/s41557-023-01340-9.","short":"F. Krämer, J. Paradies, I. Fernández, F. Breher, Nature Chemistry (2023).","ama":"Krämer F, Paradies J, Fernández I, Breher F. A crystalline aluminium–carbon-based ambiphile capable of activation and catalytic transfer of ammonia in non-aqueous media. Nature Chemistry. Published online 2023. doi:10.1038/s41557-023-01340-9","apa":"Krämer, F., Paradies, J., Fernández, I., & Breher, F. (2023). A crystalline aluminium–carbon-based ambiphile capable of activation and catalytic transfer of ammonia in non-aqueous media. Nature Chemistry. https://doi.org/10.1038/s41557-023-01340-9","ieee":"F. Krämer, J. Paradies, I. Fernández, and F. Breher, “A crystalline aluminium–carbon-based ambiphile capable of activation and catalytic transfer of ammonia in non-aqueous media,” Nature Chemistry, 2023, doi: 10.1038/s41557-023-01340-9.","chicago":"Krämer, Felix, Jan Paradies, Israel Fernández, and Frank Breher. “A Crystalline Aluminium–Carbon-Based Ambiphile Capable of Activation and Catalytic Transfer of Ammonia in Non-Aqueous Media.” Nature Chemistry, 2023. https://doi.org/10.1038/s41557-023-01340-9."},"user_id":"53339","publication_status":"published","keyword":["General Chemical Engineering","General Chemistry"],"year":"2023","type":"journal_article","publication_identifier":{"issn":["1755-4330","1755-4349"]},"language":[{"iso":"eng"}],"status":"public","publication":"Nature Chemistry","date_created":"2023-10-04T14:40:07Z","publisher":"Springer Science and Business Media LLC","date_updated":"2023-10-04T14:41:12Z","_id":"47589"},{"date_created":"2022-07-22T12:32:40Z","status":"public","year":"2023","language":[{"iso":"eng"}],"_id":"32407","date_updated":"2023-10-09T04:17:10Z","author":[{"orcid":"0000-0002-9992-3379","id":"71541","last_name":"Gharibian","first_name":"Sevag","full_name":"Gharibian, Sevag"},{"full_name":"Hayakawa, Ryu","first_name":"Ryu","last_name":"Hayakawa"},{"last_name":"Gall","first_name":"François Le","full_name":"Gall, François Le"},{"last_name":"Morimae","full_name":"Morimae, Tomoyuki","first_name":"Tomoyuki"}],"intvolume":" 261","publication_status":"published","citation":{"bibtex":"@inproceedings{Gharibian_Hayakawa_Gall_Morimae_2023, title={Improved Hardness Results for the Guided Local Hamiltonian Problem}, volume={261}, DOI={10.4230/LIPIcs.ICALP.2023.32}, number={32}, booktitle={Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming (ICALP)}, author={Gharibian, Sevag and Hayakawa, Ryu and Gall, François Le and Morimae, Tomoyuki}, year={2023}, pages={1–19} }","mla":"Gharibian, Sevag, et al. “Improved Hardness Results for the Guided Local Hamiltonian Problem.” Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming (ICALP), vol. 261, no. 32, 2023, pp. 1–19, doi:10.4230/LIPIcs.ICALP.2023.32.","short":"S. Gharibian, R. Hayakawa, F.L. Gall, T. Morimae, in: Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming (ICALP), 2023, pp. 1–19.","ama":"Gharibian S, Hayakawa R, Gall FL, Morimae T. Improved Hardness Results for the Guided Local Hamiltonian Problem. In: Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming (ICALP). Vol 261. ; 2023:1-19. doi:10.4230/LIPIcs.ICALP.2023.32","apa":"Gharibian, S., Hayakawa, R., Gall, F. L., & Morimae, T. (2023). Improved Hardness Results for the Guided Local Hamiltonian Problem. Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming (ICALP), 261(32), 1–19. https://doi.org/10.4230/LIPIcs.ICALP.2023.32","ieee":"S. Gharibian, R. Hayakawa, F. L. Gall, and T. Morimae, “Improved Hardness Results for the Guided Local Hamiltonian Problem,” in Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming (ICALP), 2023, vol. 261, no. 32, pp. 1–19, doi: 10.4230/LIPIcs.ICALP.2023.32.","chicago":"Gharibian, Sevag, Ryu Hayakawa, François Le Gall, and Tomoyuki Morimae. “Improved Hardness Results for the Guided Local Hamiltonian Problem.” In Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming (ICALP), 261:1–19, 2023. https://doi.org/10.4230/LIPIcs.ICALP.2023.32."},"department":[{"_id":"623"},{"_id":"7"}],"publication":"Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming (ICALP)","type":"conference","volume":261,"page":"1-19","issue":"32","title":"Improved Hardness Results for the Guided Local Hamiltonian Problem","abstract":[{"lang":"eng","text":"Estimating the ground state energy of a local Hamiltonian is a central\r\nproblem in quantum chemistry. In order to further investigate its complexity\r\nand the potential of quantum algorithms for quantum chemistry, Gharibian and Le\r\nGall (STOC 2022) recently introduced the guided local Hamiltonian problem\r\n(GLH), which is a variant of the local Hamiltonian problem where an\r\napproximation of a ground state is given as an additional input. Gharibian and\r\nLe Gall showed quantum advantage (more precisely, BQP-completeness) for GLH\r\nwith $6$-local Hamiltonians when the guiding vector has overlap\r\n(inverse-polynomially) close to 1/2 with a ground state. In this paper, we\r\noptimally improve both the locality and the overlap parameters: we show that\r\nthis quantum advantage (BQP-completeness) persists even with 2-local\r\nHamiltonians, and even when the guiding vector has overlap\r\n(inverse-polynomially) close to 1 with a ground state. Moreover, we show that\r\nthe quantum advantage also holds for 2-local physically motivated Hamiltonians\r\non a 2D square lattice. This makes a further step towards establishing\r\npractical quantum advantage in quantum chemistry."}],"doi":"10.4230/LIPIcs.ICALP.2023.32","user_id":"71541","external_id":{"arxiv":["2207.10250"]}}]