[{"date_created":"2023-05-09T07:33:03Z","department":[{"_id":"462"}],"type":"report","citation":{"ieee":"G. Casamassima <i>et al.</i>, <i>Beyond participation: Video workshops across Europe to engage in research with children and young people and teacher candidates as collaborators investigating ICT in education (DigiGen- working paper series No.10)</i>. 2022.","apa":"Casamassima, G., Eickelmann, B., Labusch, A., Drossel, K., Barbovschi, M., Gudmundsdottir, G. B., Holmarsdottir, H. B., Kazani, A., Mifsud, L., Parsanoglou, D., Sisask, M., Symeonaki, M., &#38; Teidla-Kunitsõn, G. (2022). <i>Beyond participation: Video workshops across Europe to engage in research with children and young people and teacher candidates as collaborators investigating ICT in education (DigiGen- working paper series No.10)</i>. <a href=\"https://doi.org/doi: 10.5281/zenodo.6973455\">https://doi.org/doi: 10.5281/zenodo.6973455</a>","mla":"Casamassima, Gianna, et al. <i>Beyond Participation: Video Workshops across Europe to Engage in Research with Children and Young People and Teacher Candidates as Collaborators Investigating ICT in Education (DigiGen- Working Paper Series No.10)</i>. 2022, doi:<a href=\"https://doi.org/doi: 10.5281/zenodo.6973455\">doi: 10.5281/zenodo.6973455</a>.","bibtex":"@book{Casamassima_Eickelmann_Labusch_Drossel_Barbovschi_Gudmundsdottir_Holmarsdottir_Kazani_Mifsud_Parsanoglou_et al._2022, title={Beyond participation: Video workshops across Europe to engage in research with children and young people and teacher candidates as collaborators investigating ICT in education (DigiGen- working paper series No.10)}, DOI={<a href=\"https://doi.org/doi: 10.5281/zenodo.6973455\">doi: 10.5281/zenodo.6973455</a>}, author={Casamassima, Gianna and Eickelmann, Birgit and Labusch, Amelie and Drossel, Kerstin and Barbovschi, M. and Gudmundsdottir, G. B. and Holmarsdottir, H. B. and Kazani, A. and Mifsud, L. and Parsanoglou, D. and et al.}, year={2022} }","ama":"Casamassima G, Eickelmann B, Labusch A, et al. <i>Beyond Participation: Video Workshops across Europe to Engage in Research with Children and Young People and Teacher Candidates as Collaborators Investigating ICT in Education (DigiGen- Working Paper Series No.10)</i>.; 2022. doi:<a href=\"https://doi.org/doi: 10.5281/zenodo.6973455\">doi: 10.5281/zenodo.6973455</a>","short":"G. Casamassima, B. Eickelmann, A. Labusch, K. Drossel, M. Barbovschi, G.B. Gudmundsdottir, H.B. Holmarsdottir, A. Kazani, L. Mifsud, D. Parsanoglou, M. Sisask, M. Symeonaki, G. Teidla-Kunitsõn, Beyond Participation: Video Workshops across Europe to Engage in Research with Children and Young People and Teacher Candidates as Collaborators Investigating ICT in Education (DigiGen- Working Paper Series No.10), 2022.","chicago":"Casamassima, Gianna, Birgit Eickelmann, Amelie Labusch, Kerstin Drossel, M. Barbovschi, G. B. Gudmundsdottir, H. B. Holmarsdottir, et al. <i>Beyond Participation: Video Workshops across Europe to Engage in Research with Children and Young People and Teacher Candidates as Collaborators Investigating ICT in Education (DigiGen- Working Paper Series No.10)</i>, 2022. <a href=\"https://doi.org/doi: 10.5281/zenodo.6973455\">https://doi.org/doi: 10.5281/zenodo.6973455</a>."},"_id":"44659","language":[{"iso":"eng"}],"doi":"doi: 10.5281/zenodo.6973455","user_id":"103823","author":[{"id":"41118","full_name":"Casamassima, Gianna","last_name":"Casamassima","first_name":"Gianna"},{"full_name":"Eickelmann, Birgit","first_name":"Birgit","last_name":"Eickelmann","id":"40387"},{"id":"65599","last_name":"Labusch","first_name":"Amelie","full_name":"Labusch, Amelie"},{"id":"48921","full_name":"Drossel, Kerstin","first_name":"Kerstin","last_name":"Drossel"},{"full_name":"Barbovschi, M.","first_name":"M.","last_name":"Barbovschi"},{"first_name":"G. B.","last_name":"Gudmundsdottir","full_name":"Gudmundsdottir, G. B."},{"full_name":"Holmarsdottir, H. B.","last_name":"Holmarsdottir","first_name":"H. B."},{"last_name":"Kazani","first_name":"A.","full_name":"Kazani, A."},{"first_name":"L.","last_name":"Mifsud","full_name":"Mifsud, L."},{"first_name":"D.","last_name":"Parsanoglou","full_name":"Parsanoglou, D."},{"last_name":"Sisask","first_name":"M.","full_name":"Sisask, M."},{"full_name":"Symeonaki, M.","first_name":"M.","last_name":"Symeonaki"},{"full_name":"Teidla-Kunitsõn, G.","first_name":"G.","last_name":"Teidla-Kunitsõn"}],"status":"public","year":"2022","title":"Beyond participation: Video workshops across Europe to engage in research with children and young people and teacher candidates as collaborators investigating ICT in education (DigiGen- working paper series No.10)","date_updated":"2024-03-20T10:27:20Z"},{"citation":{"mla":"Winkler, Michael. “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System.” <i>International Mathematics Research Notices</i>, vol. 2023, no. 19, Oxford University Press (OUP), 2022, pp. 16336–93, doi:<a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>.","ama":"Winkler M. A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System. <i>International Mathematics Research Notices</i>. 2022;2023(19):16336-16393. doi:<a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>","bibtex":"@article{Winkler_2022, title={A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System}, volume={2023}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>}, number={19}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Winkler, Michael}, year={2022}, pages={16336–16393} }","apa":"Winkler, M. (2022). A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System. <i>International Mathematics Research Notices</i>, <i>2023</i>(19), 16336–16393. <a href=\"https://doi.org/10.1093/imrn/rnac286\">https://doi.org/10.1093/imrn/rnac286</a>","ieee":"M. Winkler, “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System,” <i>International Mathematics Research Notices</i>, vol. 2023, no. 19, pp. 16336–16393, 2022, doi: <a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>.","short":"M. Winkler, International Mathematics Research Notices 2023 (2022) 16336–16393.","chicago":"Winkler, Michael. “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System.” <i>International Mathematics Research Notices</i> 2023, no. 19 (2022): 16336–93. <a href=\"https://doi.org/10.1093/imrn/rnac286\">https://doi.org/10.1093/imrn/rnac286</a>."},"status":"public","volume":2023,"user_id":"31496","publisher":"Oxford University Press (OUP)","_id":"53319","page":"16336-16393","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>The Neumann problem for (0.1)$$ \\begin{align}&amp; V_t = \\Delta V-aV+f(x,t) \\end{align}$$is considered in bounded domains $\\Omega \\subset {\\mathbb {R}}^n$ with smooth boundary, where $n\\ge 1$ and $a\\in {\\mathbb {R}}$. By means of a variational approach, a statement on boundedness of the quantities $$ \\begin{eqnarray*} \\sup_{t\\in (0,T)} \\int_\\Omega \\big|\\nabla V(\\cdot,t)\\big|^p L^{\\frac{n+p}{n+2}} \\Big( \\big|\\nabla V(\\cdot,t)\\big| \\Big) \\end{eqnarray*}$$in dependence on the expressions (0.2)$$ \\begin{align}&amp; \\sup_{t\\in (0,T-\\tau)} \\int_t^{t+\\tau} \\int_\\Omega |f|^{\\frac{(n+2)p}{n+p}} L\\big( |f|\\big) \\end{align}$$is derived for $p\\ge 2$, $\\tau&amp;gt;0$, and $T\\ge 2\\tau $, provided that $L\\in C^0([0,\\infty ))$ is positive, strictly increasing, unbounded, and slowly growing in the sense that $\\limsup _{s\\to \\infty } \\frac {L(s^{\\lambda _0})}{L(s)} &amp;lt;\\infty $ for some $\\lambda _0&amp;gt;1$. In the particular case when $p=n\\ge 2$, an additional condition on growth of $L$, particularly satisfied by $L(\\xi ):=\\ln ^\\alpha (\\xi +b)$ whenever $b&amp;gt;0$ and $\\alpha&amp;gt;\\frac {(n+2)(n-1)}{2n}$, is identified as sufficient to ensure that as a consequence of the above, bounds for theintegrals in (0.2) even imply estimates for the spatio-temporal modulus of continuity of solutions to (0.1). A subsequent application to the Keller–Segel system $$ \\begin{eqnarray*} \\left\\{ \\begin{array}{l} u_t = \\nabla \\cdot \\big( D(v)\\nabla u\\big) - \\nabla \\cdot \\big( uS(v)\\nabla v\\big) + ru - \\mu u^2, \\\\[1mm] v_t = \\Delta v-v+u, \\end{array} \\right. \\end{eqnarray*}$$shows that when $n=2$, $r\\in {\\mathbb {R}}$, $0&amp;lt;D\\in C^2([0,\\infty ))$, and $S\\in C^2([0,\\infty )) \\cap W^{1,\\infty }((0,\\infty ))$ and thus especially in the presence of arbitrarily strong diffusion degeneracies implied by rapid decay of $D$, any choice of $\\mu&amp;gt;0$ excludes blowup in the sense that for all suitably regular nonnegative initial data, an associated initial-boundary value problem admits a global bounded classical solution.</jats:p>","lang":"eng"}],"issue":"19","publication":"International Mathematics Research Notices","type":"journal_article","keyword":["General Mathematics"],"date_created":"2024-04-07T12:33:44Z","intvolume":"      2023","date_updated":"2024-04-07T12:36:06Z","publication_status":"published","author":[{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"publication_identifier":{"issn":["1073-7928","1687-0247"]},"title":"A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System","year":"2022","doi":"10.1093/imrn/rnac286","language":[{"iso":"eng"}]},{"status":"public","year":"2022","title":"Slow Grow-up in a Quasilinear Keller–Segel System","author":[{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["1040-7294","1572-9222"]},"date_updated":"2024-04-07T12:39:17Z","publication_status":"published","publisher":"Springer Science and Business Media LLC","_id":"53323","language":[{"iso":"eng"}],"doi":"10.1007/s10884-022-10167-w","user_id":"31496","publication":"Journal of Dynamics and Differential Equations","citation":{"mla":"Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” <i>Journal of Dynamics and Differential Equations</i>, Springer Science and Business Media LLC, 2022, doi:<a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>.","bibtex":"@article{Winkler_2022, title={Slow Grow-up in a Quasilinear Keller–Segel System}, DOI={<a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2022} }","ama":"Winkler M. Slow Grow-up in a Quasilinear Keller–Segel System. <i>Journal of Dynamics and Differential Equations</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>","ieee":"M. Winkler, “Slow Grow-up in a Quasilinear Keller–Segel System,” <i>Journal of Dynamics and Differential Equations</i>, 2022, doi: <a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>.","apa":"Winkler, M. (2022). Slow Grow-up in a Quasilinear Keller–Segel System. <i>Journal of Dynamics and Differential Equations</i>. <a href=\"https://doi.org/10.1007/s10884-022-10167-w\">https://doi.org/10.1007/s10884-022-10167-w</a>","chicago":"Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” <i>Journal of Dynamics and Differential Equations</i>, 2022. <a href=\"https://doi.org/10.1007/s10884-022-10167-w\">https://doi.org/10.1007/s10884-022-10167-w</a>.","short":"M. Winkler, Journal of Dynamics and Differential Equations (2022)."},"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>In a ball <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Omega =B_R(0)\\subset \\mathbb {R}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\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:mi>R</mml:mi>\r\n                  </mml:msub>\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: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:mi>n</mml:mi>\r\n                  </mml:msup>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$n\\ge 2$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>n</mml:mi>\r\n                  <mml:mo>≥</mml:mo>\r\n                  <mml:mn>2</mml:mn>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>, the chemotaxis system <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l}u_t = \\nabla \\cdot \\big ( D(u) \\nabla u \\big ) - \\nabla \\cdot \\big ( uS(u)\\nabla v\\big ), \\\\ 0 = \\Delta v - \\mu + u, \\qquad \\mu =\\frac{1}{|\\Omega |} \\int _\\Omega u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$</jats:tex-math><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: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: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: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>∇</mml:mi>\r\n                                      <mml:mi>u</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>∇</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:mi>u</mml:mi>\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>∇</mml:mi>\r\n                                      <mml:mi>v</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: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: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:mspace />\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:msub>\r\n                                        <mml:mo>∫</mml:mo>\r\n                                        <mml:mi>Ω</mml:mi>\r\n                                      </mml:msub>\r\n                                      <mml:mi>u</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:mfenced>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mrow>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:mo>⋆</mml:mo>\r\n                            <mml:mo>)</mml:mo>\r\n                          </mml:mrow>\r\n                        </mml:mrow>\r\n                      </mml:mtd>\r\n                    </mml:mtr>\r\n                  </mml:mtable>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:disp-formula>is considered under no-flux boundary conditions, with a focus on nonlinearities <jats:inline-formula><jats:alternatives><jats:tex-math>$$S\\in C^2([0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>S</mml:mi>\r\n                  <mml:mo>∈</mml:mo>\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: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></jats:alternatives></jats:inline-formula> which exhibit super-algebraically fast decay in the sense that with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$K_S&gt;0, \\beta \\in [0,1)$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:msub>\r\n                    <mml:mi>K</mml:mi>\r\n                    <mml:mi>S</mml:mi>\r\n                  </mml:msub>\r\n                  <mml:mo>&gt;</mml:mo>\r\n                  <mml:mn>0</mml:mn>\r\n                  <mml:mo>,</mml:mo>\r\n                  <mml:mi>β</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:mn>1</mml:mn>\r\n                    <mml:mo>)</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\xi _0&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:msub>\r\n                    <mml:mi>ξ</mml:mi>\r\n                    <mml:mn>0</mml:mn>\r\n                  </mml:msub>\r\n                  <mml:mo>&gt;</mml:mo>\r\n                  <mml:mn>0</mml:mn>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>, <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} S(\\xi )&gt;0 \\quad \\text{ and } \\quad S'(\\xi ) \\le -K_S\\xi ^{-\\beta } S(\\xi ) \\qquad \\text{ for } \\text{ all } \\xi \\ge \\xi _0. \\end{aligned}$$</jats:tex-math><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: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:mo>&gt;</mml:mo>\r\n                          <mml:mn>0</mml:mn>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>and</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:msup>\r\n                            <mml:mi>S</mml:mi>\r\n                            <mml:mo>′</mml:mo>\r\n                          </mml:msup>\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:mo>-</mml:mo>\r\n                          <mml:msub>\r\n                            <mml:mi>K</mml:mi>\r\n                            <mml:mi>S</mml:mi>\r\n                          </mml:msub>\r\n                          <mml:msup>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mrow>\r\n                              <mml:mo>-</mml:mo>\r\n                              <mml:mi>β</mml:mi>\r\n                            </mml:mrow>\r\n                          </mml:msup>\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:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>for</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>all</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mi>ξ</mml:mi>\r\n                          <mml:mo>≥</mml:mo>\r\n                          <mml:msub>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:msub>\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></jats:alternatives></jats:disp-formula>It is, inter alia, shown that if furthermore <jats:inline-formula><jats:alternatives><jats:tex-math>$$D\\in C^2((0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>D</mml:mi>\r\n                  <mml:mo>∈</mml:mo>\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: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></jats:alternatives></jats:inline-formula> is positive and suitably small in relation to <jats:italic>S</jats:italic> by satisfying <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\frac{\\xi S(\\xi )}{D(\\xi )} \\ge K_{SD}\\xi ^\\lambda \\qquad \\text{ for } \\text{ all } \\xi \\ge \\xi _0 \\end{aligned}$$</jats:tex-math><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>ξ</mml:mi>\r\n                              <mml:mi>S</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:mi>D</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:mfrac>\r\n                          <mml:mo>≥</mml:mo>\r\n                          <mml:msub>\r\n                            <mml:mi>K</mml:mi>\r\n                            <mml:mrow>\r\n                              <mml:mi>SD</mml:mi>\r\n                            </mml:mrow>\r\n                          </mml:msub>\r\n                          <mml:msup>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mi>λ</mml:mi>\r\n                          </mml:msup>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>for</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>all</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mi>ξ</mml:mi>\r\n                          <mml:mo>≥</mml:mo>\r\n                          <mml:msub>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:msub>\r\n                        </mml:mrow>\r\n                      </mml:mtd>\r\n                    </mml:mtr>\r\n                  </mml:mtable>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:disp-formula>with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$K_{SD}&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:msub>\r\n                    <mml:mi>K</mml:mi>\r\n                    <mml:mrow>\r\n                      <mml:mi>SD</mml:mi>\r\n                    </mml:mrow>\r\n                  </mml:msub>\r\n                  <mml:mo>&gt;</mml:mo>\r\n                  <mml:mn>0</mml:mn>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\lambda &gt;\\frac{2}{n}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>λ</mml:mi>\r\n                  <mml:mo>&gt;</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:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>, then throughout a considerably large set of initial data, (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\star $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mo>⋆</mml:mo>\r\n              </mml:math></jats:alternatives></jats:inline-formula>) admits global classical solutions (<jats:italic>u</jats:italic>, <jats:italic>v</jats:italic>) fulfilling <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\frac{z(t)}{C} \\le \\Vert u(\\cdot ,t)\\Vert _{L^\\infty (\\Omega )} \\le Cz(t) \\qquad \\text{ for } \\text{ all } t&gt;0, \\end{aligned}$$</jats:tex-math><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>z</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:mi>C</mml:mi>\r\n                          </mml:mfrac>\r\n                          <mml:mo>≤</mml:mo>\r\n                          <mml:msub>\r\n                            <mml:mrow>\r\n                              <mml:mo>‖</mml:mo>\r\n                              <mml:mi>u</mml:mi>\r\n                              <mml:mrow>\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: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:mrow>\r\n                          </mml:msub>\r\n                          <mml:mo>≤</mml:mo>\r\n                          <mml:mi>C</mml:mi>\r\n                          <mml:mi>z</mml:mi>\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:mrow>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>for</mml:mtext>\r\n                          <mml:mspace />\r\n                          <mml:mspace />\r\n                          <mml:mtext>all</mml:mtext>\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: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></jats:alternatives></jats:disp-formula>with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$C=C^{(u,v)}\\ge 1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>C</mml:mi>\r\n                  <mml:mo>=</mml:mo>\r\n                  <mml:msup>\r\n                    <mml:mi>C</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:mi>v</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:msup>\r\n                  <mml:mo>≥</mml:mo>\r\n                  <mml:mn>1</mml:mn>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>, where <jats:italic>z</jats:italic> denotes the solution of <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l}z'(t) = z^2(t) \\cdot S\\big ( z(t)\\big ), \\qquad t&gt;0, \\\\ z(0)=\\xi _0, \\end{array} \\right. \\end{aligned}$$</jats:tex-math><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:msup>\r\n                                      <mml:mi>z</mml:mi>\r\n                                      <mml:mo>′</mml:mo>\r\n                                    </mml:msup>\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:mrow>\r\n                                    <mml:mo>=</mml:mo>\r\n                                    <mml:msup>\r\n                                      <mml:mi>z</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>t</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:mrow>\r\n                                    <mml:mi>z</mml:mi>\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:mrow>\r\n                                    <mml:mrow>\r\n                                      <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n                                    <mml:mo>,</mml:mo>\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: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>z</mml:mi>\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:mrow>\r\n                                    <mml:mo>=</mml:mo>\r\n                                    <mml:msub>\r\n                                      <mml:mi>ξ</mml:mi>\r\n                                      <mml:mn>0</mml:mn>\r\n                                    </mml:msub>\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></jats:alternatives></jats:disp-formula>which is seen to exist globally, and to satisfy <jats:inline-formula><jats:alternatives><jats:tex-math>$$z(t)\\rightarrow +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>z</mml:mi>\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:mo>+</mml:mo>\r\n                  <mml:mi>∞</mml:mi>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula> as <jats:inline-formula><jats:alternatives><jats:tex-math>$$t\\rightarrow \\infty $$</jats:tex-math><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>→</mml:mo>\r\n                  <mml:mi>∞</mml:mi>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>. As particular examples, exponentially and doubly exponentially decaying <jats:italic>S</jats:italic> are found to imply corresponding infinite-time blow-up properties in (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\star $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mo>⋆</mml:mo>\r\n              </mml:math></jats:alternatives></jats:inline-formula>) at logarithmic and doubly logarithmic rates, respectively.</jats:p>"}],"date_created":"2024-04-07T12:39:12Z","type":"journal_article","keyword":["Analysis"]},{"status":"public","volume":153,"user_id":"31496","_id":"53331","publisher":"Cambridge University Press (CUP)","page":"1150-1166","citation":{"apa":"Wang, Y., &#38; Winkler, M. (2022). Finite-time blow-up in a repulsive chemotaxis-consumption system. <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>, <i>153</i>(4), 1150–1166. <a href=\"https://doi.org/10.1017/prm.2022.39\">https://doi.org/10.1017/prm.2022.39</a>","ieee":"Y. Wang and M. Winkler, “Finite-time blow-up in a repulsive chemotaxis-consumption system,” <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>, vol. 153, no. 4, pp. 1150–1166, 2022, doi: <a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>.","short":"Y. Wang, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153 (2022) 1150–1166.","chicago":"Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i> 153, no. 4 (2022): 1150–66. <a href=\"https://doi.org/10.1017/prm.2022.39\">https://doi.org/10.1017/prm.2022.39</a>.","mla":"Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>, vol. 153, no. 4, Cambridge University Press (CUP), 2022, pp. 1150–66, doi:<a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>.","ama":"Wang Y, Winkler M. Finite-time blow-up in a repulsive chemotaxis-consumption system. <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>. 2022;153(4):1150-1166. doi:<a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>","bibtex":"@article{Wang_Winkler_2022, title={Finite-time blow-up in a repulsive chemotaxis-consumption system}, volume={153}, DOI={<a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>}, number={4}, journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics}, publisher={Cambridge University Press (CUP)}, author={Wang, Yulan and Winkler, Michael}, year={2022}, pages={1150–1166} }"},"intvolume":"       153","date_updated":"2024-04-07T12:44:30Z","publication_status":"published","publication_identifier":{"issn":["0308-2105","1473-7124"]},"author":[{"full_name":"Wang, Yulan","first_name":"Yulan","last_name":"Wang"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"title":"Finite-time blow-up in a repulsive chemotaxis-consumption system","year":"2022","doi":"10.1017/prm.2022.39","language":[{"iso":"eng"}],"abstract":[{"text":"<jats:p>In a ball <jats:inline-formula><jats:alternatives><jats:tex-math>$\\Omega \\subset \\mathbb {R}^{n}$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline1.png\" /></jats:alternatives></jats:inline-formula> with <jats:inline-formula><jats:alternatives><jats:tex-math>$n\\ge 2$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline2.png\" /></jats:alternatives></jats:inline-formula>, the chemotaxis system\r\n<jats:disp-formula><jats:alternatives><jats:tex-math>\\[ \\left\\{ \\begin{array}{@{}l} u_t = \\nabla \\cdot \\big( D(u)\\nabla u\\big) + \\nabla\\cdot \\big(\\dfrac{u}{v} \\nabla v\\big), \\\\ 0=\\Delta v - uv \\end{array} \\right. \\]</jats:tex-math><jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" mimetype=\"image\" position=\"float\" xlink:href=\"S0308210522000397_eqnU1.png\" /></jats:alternatives></jats:disp-formula>is considered along with no-flux boundary conditions for <jats:inline-formula><jats:alternatives><jats:tex-math>$u$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline3.png\" /></jats:alternatives></jats:inline-formula> and with prescribed constant positive Dirichlet boundary data for <jats:inline-formula><jats:alternatives><jats:tex-math>$v$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline4.png\" /></jats:alternatives></jats:inline-formula>. It is shown that if <jats:inline-formula><jats:alternatives><jats:tex-math>$D\\in C^{3}([0,\\infty ))$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline5.png\" /></jats:alternatives></jats:inline-formula> is such that <jats:inline-formula><jats:alternatives><jats:tex-math>$0&lt; D(\\xi ) \\le {K_D} (\\xi +1)^{-\\alpha }$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline6.png\" /></jats:alternatives></jats:inline-formula> for all <jats:inline-formula><jats:alternatives><jats:tex-math>$\\xi &gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline7.png\" /></jats:alternatives></jats:inline-formula> with some <jats:inline-formula><jats:alternatives><jats:tex-math>${K_D}&gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline8.png\" /></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$\\alpha &gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline9.png\" /></jats:alternatives></jats:inline-formula>, then for all initial data from a considerably large set of radial functions on <jats:inline-formula><jats:alternatives><jats:tex-math>$\\Omega$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline10.png\" /></jats:alternatives></jats:inline-formula>, the corresponding initial-boundary value problem admits a solution blowing up in finite time.</jats:p>","lang":"eng"}],"publication":"Proceedings of the Royal Society of Edinburgh: Section A Mathematics","issue":"4","keyword":["General Mathematics"],"type":"journal_article","date_created":"2024-04-07T12:44:26Z"},{"language":[{"iso":"eng"}],"_id":"49825","publisher":"IEEE","doi":"10.1109/icassp43922.2022.9747662","user_id":"49902","author":[{"id":"49902","full_name":"Lehmann, Isabell","first_name":"Isabell","last_name":"Lehmann"},{"first_name":"Evrim","last_name":"Acar","full_name":"Acar, Evrim"},{"full_name":"Hasija, Tanuj","first_name":"Tanuj","last_name":"Hasija","id":"43497"},{"last_name":"Akhonda","first_name":"M.A.B.S.","full_name":"Akhonda, M.A.B.S."},{"full_name":"Calhoun, Vince D.","first_name":"Vince D.","last_name":"Calhoun"},{"full_name":"Schreier, Peter","last_name":"Schreier","first_name":"Peter"},{"last_name":"Adali","first_name":"Tulay","full_name":"Adali, Tulay"}],"status":"public","title":"Multi-Task fMRI Data Fusion Using IVA and PARAFAC2","year":"2022","date_updated":"2024-04-15T07:37:35Z","publication_status":"published","date_created":"2023-12-19T07:46:36Z","department":[{"_id":"263"}],"type":"conference","citation":{"chicago":"Lehmann, Isabell, Evrim Acar, Tanuj Hasija, M.A.B.S. Akhonda, Vince D. Calhoun, Peter Schreier, and Tulay Adali. “Multi-Task FMRI Data Fusion Using IVA and PARAFAC2.” In <i>ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>. IEEE, 2022. <a href=\"https://doi.org/10.1109/icassp43922.2022.9747662\">https://doi.org/10.1109/icassp43922.2022.9747662</a>.","short":"I. Lehmann, E. Acar, T. Hasija, M.A.B.S. Akhonda, V.D. Calhoun, P. Schreier, T. Adali, in: ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2022.","ieee":"I. Lehmann <i>et al.</i>, “Multi-Task fMRI Data Fusion Using IVA and PARAFAC2,” 2022, doi: <a href=\"https://doi.org/10.1109/icassp43922.2022.9747662\">10.1109/icassp43922.2022.9747662</a>.","apa":"Lehmann, I., Acar, E., Hasija, T., Akhonda, M. A. B. S., Calhoun, V. D., Schreier, P., &#38; Adali, T. (2022). Multi-Task fMRI Data Fusion Using IVA and PARAFAC2. <i>ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>. <a href=\"https://doi.org/10.1109/icassp43922.2022.9747662\">https://doi.org/10.1109/icassp43922.2022.9747662</a>","bibtex":"@inproceedings{Lehmann_Acar_Hasija_Akhonda_Calhoun_Schreier_Adali_2022, title={Multi-Task fMRI Data Fusion Using IVA and PARAFAC2}, DOI={<a href=\"https://doi.org/10.1109/icassp43922.2022.9747662\">10.1109/icassp43922.2022.9747662</a>}, booktitle={ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}, publisher={IEEE}, author={Lehmann, Isabell and Acar, Evrim and Hasija, Tanuj and Akhonda, M.A.B.S. and Calhoun, Vince D. and Schreier, Peter and Adali, Tulay}, year={2022} }","ama":"Lehmann I, Acar E, Hasija T, et al. Multi-Task fMRI Data Fusion Using IVA and PARAFAC2. In: <i>ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>. IEEE; 2022. doi:<a href=\"https://doi.org/10.1109/icassp43922.2022.9747662\">10.1109/icassp43922.2022.9747662</a>","mla":"Lehmann, Isabell, et al. “Multi-Task FMRI Data Fusion Using IVA and PARAFAC2.” <i>ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>, IEEE, 2022, doi:<a href=\"https://doi.org/10.1109/icassp43922.2022.9747662\">10.1109/icassp43922.2022.9747662</a>."},"publication":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)"},{"department":[{"_id":"735"}],"type":"journal_article","date_created":"2023-01-31T15:12:26Z","project":[{"grant_number":"01UG1917","_id":"95","name":"kulturPreis: Steigerung der kulturellen Teilhabe mittels innovativer und ökonomisch nachhaltiger Preiskonzepte"}],"citation":{"chicago":"Flath, Beate, and Maryam  Momen Pour Tafreshi . “Zwischen teilhaben und Teil sein. Ein Gespräch über kulturelle Teilhabe im Kontext transdisziplinärer Forschung.” <i>Transformational  POP: Transitions, Breaks, and Crises in Popular Music (Studies) (Vibes - The IASPM D-A-CH Series 2)</i> 2 (2022): 19–32.","short":"B. Flath, M. Momen Pour Tafreshi , Transformational  POP: Transitions, Breaks, and Crises in Popular Music (Studies) (Vibes - The IASPM D-A-CH Series 2) 2 (2022) 19–32.","apa":"Flath, B., &#38; Momen Pour Tafreshi , M. (2022). Zwischen teilhaben und Teil sein. Ein Gespräch über kulturelle Teilhabe im Kontext transdisziplinärer Forschung. <i>Transformational  POP: Transitions, Breaks, and Crises in Popular Music (Studies) (Vibes - The IASPM D-A-CH Series 2)</i>, <i>2</i>, 19–32.","ieee":"B. Flath and M. Momen Pour Tafreshi , “Zwischen teilhaben und Teil sein. Ein Gespräch über kulturelle Teilhabe im Kontext transdisziplinärer Forschung,” <i>Transformational  POP: Transitions, Breaks, and Crises in Popular Music (Studies) (Vibes - The IASPM D-A-CH Series 2)</i>, vol. 2, pp. 19–32, 2022.","ama":"Flath B, Momen Pour Tafreshi  M. Zwischen teilhaben und Teil sein. Ein Gespräch über kulturelle Teilhabe im Kontext transdisziplinärer Forschung. <i>Transformational  POP: Transitions, Breaks, and Crises in Popular Music (Studies) (Vibes - The IASPM D-A-CH Series 2)</i>. 2022;2:19-32.","bibtex":"@article{Flath_Momen Pour Tafreshi _2022, title={Zwischen teilhaben und Teil sein. Ein Gespräch über kulturelle Teilhabe im Kontext transdisziplinärer Forschung}, volume={2}, journal={Transformational  POP: Transitions, Breaks, and Crises in Popular Music (Studies) (Vibes - The IASPM D-A-CH Series 2)}, author={Flath, Beate and Momen Pour Tafreshi , Maryam }, year={2022}, pages={19–32} }","mla":"Flath, Beate, and Maryam Momen Pour Tafreshi . “Zwischen teilhaben und Teil sein. Ein Gespräch über kulturelle Teilhabe im Kontext transdisziplinärer Forschung.” <i>Transformational  POP: Transitions, Breaks, and Crises in Popular Music (Studies) (Vibes - The IASPM D-A-CH Series 2)</i>, vol. 2, 2022, pp. 19–32."},"publication":"Transformational  POP: Transitions, Breaks, and Crises in Popular Music (Studies) (Vibes - The IASPM D-A-CH Series 2)","volume":2,"user_id":"14931","language":[{"iso":"ger"}],"_id":"41282","page":"19-32","main_file_link":[{"url":"http://vibes-theseries.org/kulturelle-teilhabe-flath-momen-pour-tafreshi/"}],"intvolume":"         2","publication_status":"published","date_updated":"2024-05-07T11:48:57Z","author":[{"full_name":"Flath, Beate","orcid":"https://orcid.org/0000-0002-1648-0796","first_name":"Beate","last_name":"Flath","id":"58896"},{"full_name":"Momen Pour Tafreshi , Maryam ","last_name":"Momen Pour Tafreshi ","first_name":"Maryam "}],"publication_identifier":{"unknown":["2748-6389"]},"title":"Zwischen teilhaben und Teil sein. Ein Gespräch über kulturelle Teilhabe im Kontext transdisziplinärer Forschung","status":"public","year":"2022"},{"intvolume":"         2","date_updated":"2024-05-07T12:05:20Z","publication_status":"published","publication_identifier":{"issn":["2748-6389"]},"title":"Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)","year":"2022","series_title":"~Vibes – The IASPM D-A-CH Series","language":[{"iso":"eng"},{"iso":"ger"}],"main_file_link":[{"open_access":"1","url":"http://vibes-theseries.org/02-2022/"}],"abstract":[{"text":"Transformations of various kinds have always shaped societies and especially its cultures and research – triggered, for example, by wars, revolutions, shifts in social orders, pandemics, etc. They have led to uncertainty and social upheaval, but also to innovation and change. As pop music cultures, in their entire breadth, can be described as seismographs of social, political, economic, ecological, media, artistic, and technological transformations, in and through them, fields of tensions, disruptions, and lines of conflict become not only visible, audible, and perceptible, but also communicable and thus, negotiable. Volume No. 2 of ~Vibes – The IASPM D-A-CH Series, which is based on the 4th Biennial IASPM D-A-CH conference at Paderborn University/online, takes a closer look at the transformative moments of pop music cultures by theorizing, empiricizing, historicizing, and, finally, politicizing them.","lang":"eng"},{"lang":"ger","text":"Transformationen verschiedenster Art haben Gesellschaften und insbesondere ihre Kulturen und Wissenschaften schon immer geprägt – beispielsweise ausgelöst durch Kriege, Revolutionen, Verschiebungen der Gesellschaftsordnungen, Pandemien usw. Sie haben zu Verunsicherungen und sozialen Verwerfungen geführt, aber auch zu Innovation und Veränderung. Da Popmusikkulturen in ihrer ganzen Breite als Seismographen sozialer, politischer, ökonomischer, ökologischer, medialer, künstlerischer und technologischer Transformationen beschrieben werden können, werden in und durch sie Spannungsfelder, Brüche und Konfliktlinien nicht nur sichtbar, hörbar und spürbar, sondern auch kommunizierbar und damit verhandelbar. Band Nr. 2 von ~Vibes – The IASPM D-A-CH Series, der auf der 4. IASPM D-A-CH-Tagung basiert, die von der Universität Paderborn online ausgerichtet wurde, nimmt die transformativen Momente von Popmusikkulturen theoretisierend, empirisierend, historisierend und schließlich politisierend in den Blick. "}],"related_material":{"record":[{"status":"public","id":"37246","relation":"published_in"}]},"department":[{"_id":"607"},{"_id":"735"}],"type":"book_editor","date_created":"2023-01-18T08:12:57Z","status":"public","editor":[{"id":"58896","last_name":"Flath","first_name":"Beate","orcid":"https://orcid.org/0000-0002-1648-0796","full_name":"Flath, Beate"},{"id":"20747","first_name":"Christoph","last_name":"Jacke","full_name":"Jacke, Christoph"},{"full_name":"Troike, Manuel","first_name":"Manuel","orcid":"0009-0002-8606-3864","last_name":"Troike","id":"33226"}],"volume":2,"user_id":"14931","_id":"37244","publisher":"International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica","page":"307","quality_controlled":"1","citation":{"ieee":"B. Flath, C. Jacke, and M. Troike, Eds., <i>Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)</i>, vol. 2. Berlin: International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica, 2022.","apa":"Flath, B., Jacke, C., &#38; Troike, M. (Eds.). (2022). <i>Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)</i> (Vol. 2). International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica.","chicago":"Flath, Beate, Christoph Jacke, and Manuel Troike, eds. <i>Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)</i>. Vol. 2. ~Vibes – The IASPM D-A-CH Series. Berlin: International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica, 2022.","short":"B. Flath, C. Jacke, M. Troike, eds., Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies), International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica, Berlin, 2022.","mla":"Flath, Beate, et al., editors. <i>Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)</i>. International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica, 2022.","bibtex":"@book{Flath_Jacke_Troike_2022, place={Berlin}, series={~Vibes – The IASPM D-A-CH Series}, title={Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)}, volume={2}, publisher={International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica}, year={2022}, collection={~Vibes – The IASPM D-A-CH Series} }","ama":"Flath B, Jacke C, Troike M, eds. <i>Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)</i>. Vol 2. International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica; 2022."},"oa":"1","place":"Berlin"},{"publication":"Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)","related_material":{"record":[{"status":"public","relation":"contains","id":"37244"}]},"abstract":[{"lang":"eng","text":"Manuel Troike talks to the Swiss ethnomusicologist Dr. Thomas Burkhalter about his music documentary Contradict – Ideas for a New World. Together with Peter Guyer, Burkhalter gives six musicians from Ghana a chance to speak, to look at the changing values of our time from the African continent, and to show how trends, ideas and visions are increasingly decentralised in a globalised world."}],"date_created":"2023-01-18T08:18:25Z","department":[{"_id":"607"}],"type":"book_chapter","author":[{"first_name":"Thomas","last_name":"Burkhalter","full_name":"Burkhalter, Thomas"},{"full_name":"Troike, Manuel","first_name":"Manuel","last_name":"Troike","orcid":"0009-0002-8606-3864","id":"33226"}],"publication_identifier":{"issn":["2748-6389"]},"title":"Contradict – Ideas for a New World. A Talk between Thomas Burkhalter and Manuel Troike about the documentary film Contradict.","year":"2022","intvolume":"         2","date_updated":"2024-05-07T12:05:20Z","publication_status":"published","language":[{"iso":"eng"}],"series_title":" ~Vibes – The IASPM D-A-CH Series","main_file_link":[{"url":"http://vibes-theseries.org/burkhalter-troike-contradict/","open_access":"1"}],"citation":{"mla":"Burkhalter, Thomas, and Manuel Troike. “Contradict – Ideas for a New World. A Talk between Thomas Burkhalter and Manuel Troike about the Documentary Film Contradict.” <i>Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)</i>, edited by Beate Flath et al., vol. 2, International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica, 2022, pp. 225–30.","bibtex":"@inbook{Burkhalter_Troike_2022, series={ ~Vibes – The IASPM D-A-CH Series}, title={Contradict – Ideas for a New World. A Talk between Thomas Burkhalter and Manuel Troike about the documentary film Contradict.}, volume={2}, booktitle={Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)}, publisher={International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica}, author={Burkhalter, Thomas and Troike, Manuel}, editor={Flath, Beate and Jacke, Christoph and Troike, Manuel}, year={2022}, pages={225–230}, collection={ ~Vibes – The IASPM D-A-CH Series} }","ama":"Burkhalter T, Troike M. Contradict – Ideas for a New World. A Talk between Thomas Burkhalter and Manuel Troike about the documentary film Contradict. In: Flath B, Jacke C, Troike M, eds. <i>Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)</i>. Vol 2.  ~Vibes – The IASPM D-A-CH Series. International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica; 2022:225-230.","ieee":"T. Burkhalter and M. Troike, “Contradict – Ideas for a New World. A Talk between Thomas Burkhalter and Manuel Troike about the documentary film Contradict.,” in <i>Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)</i>, vol. 2, B. Flath, C. Jacke, and M. Troike, Eds. International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica, 2022, pp. 225–230.","apa":"Burkhalter, T., &#38; Troike, M. (2022). Contradict – Ideas for a New World. A Talk between Thomas Burkhalter and Manuel Troike about the documentary film Contradict. In B. Flath, C. Jacke, &#38; M. Troike (Eds.), <i>Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)</i> (Vol. 2, pp. 225–230). International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica.","short":"T. Burkhalter, M. Troike, in: B. Flath, C. Jacke, M. Troike (Eds.), Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies), International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica, 2022, pp. 225–230.","chicago":"Burkhalter, Thomas, and Manuel Troike. “Contradict – Ideas for a New World. A Talk between Thomas Burkhalter and Manuel Troike about the Documentary Film Contradict.” In <i>Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)</i>, edited by Beate Flath, Christoph Jacke, and Manuel Troike, 2:225–30.  ~Vibes – The IASPM D-A-CH Series. International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica, 2022."},"quality_controlled":"1","oa":"1","status":"public","_id":"37246","publisher":"International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica","page":"225-230","editor":[{"full_name":"Flath, Beate","last_name":"Flath","first_name":"Beate"},{"full_name":"Jacke, Christoph","first_name":"Christoph","last_name":"Jacke"},{"first_name":"Manuel","last_name":"Troike","full_name":"Troike, Manuel"}],"volume":2,"user_id":"33226"},{"page":"175-183","_id":"53607","publisher":"Springer Fachmedien Wiesbaden","user_id":"14931","editor":[{"full_name":"Kirsner, Inge","first_name":"Inge","last_name":"Kirsner"},{"first_name":"Harald","last_name":"Schroeter-Wittke","full_name":"Schroeter-Wittke, Harald"}],"status":"public","place":"Wiesbaden","citation":{"bibtex":"@inbook{Janus_2022, place={Wiesbaden}, series={pop.religion: lebensstil – kultur – theologie}, title={Nicht aufzuhalten – Im Labyrinth der Suche nach dem Ursprung der Pandemie: „Twelve Monkeys“}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-38127-1_13\">10.1007/978-3-658-38127-1_13</a>}, booktitle={Pandemie im Film. Religiöse und ästhetische Transformationen in der Popularkultur}, publisher={Springer Fachmedien Wiesbaden}, author={Janus, Richard}, editor={Kirsner, Inge and Schroeter-Wittke, Harald}, year={2022}, pages={175–183}, collection={pop.religion: lebensstil – kultur – theologie} }","ama":"Janus R. Nicht aufzuhalten – Im Labyrinth der Suche nach dem Ursprung der Pandemie: „Twelve Monkeys“. In: Kirsner I, Schroeter-Wittke H, eds. <i>Pandemie im Film. Religiöse und ästhetische Transformationen in der Popularkultur</i>. pop.religion: lebensstil – kultur – theologie. Springer Fachmedien Wiesbaden; 2022:175-183. doi:<a href=\"https://doi.org/10.1007/978-3-658-38127-1_13\">10.1007/978-3-658-38127-1_13</a>","mla":"Janus, Richard. “Nicht aufzuhalten – Im Labyrinth der Suche nach dem Ursprung der Pandemie: „Twelve Monkeys“.” <i>Pandemie im Film. 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Die einzelnen Komponenten sowie Konnotationen der durch Ausdrücke repräsentierten Konzepte unterliegen aber beständigem Wandel – sowohl innerhalb der militärischen Sphäre als auch und interdependent angebunden an gesamtgesellschaftliche sowie kulturdiskursive Veränderungsprozesse. Ziel dieses Aufsatzes ist die diachrone Aufarbeitung ausgewählter, aber zentraler Elemente soldatischer Wertekanons anhand der Ausdrücke Pflicht und Treue sowie damit verbunden soldatischer Identitätskonstruktionen vom 18. bis zum 20. Jahrhundert. Als Grundlage dienen zwei unterschiedliche Quellengattungen, anhand derer die Verwendungsweisen der Ausdrücke aufgearbeitet werden sollen: Verwendung finden Soldatenbriefe als Medium an der Schnittstelle zwischen Kriegswahrnehmung und -darstellung vom Zweiten Schlesischen Krieg (1744/1745) bis zum Zweiten Weltkrieg (1939 – 1945) und kontrastierend nach 1945 angefertigte autobiographische Zeugnisse soldatischer Akteure."}],"language":[{"iso":"ger"}],"author":[{"full_name":"Markewitz, Friedrich","last_name":"Markewitz","first_name":"Friedrich","id":"67227"}],"year":"2022","title":"“Aber man tut eben seine Pflicht, bis der Schwindel zu Ende geht ...“. Zu soldatischen Identitätskonstruktionen vom 18. bis zum 20. 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Janus, Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes 71 (2022) 41–55.","mla":"Janus, Richard. “Akteure im Rheinischen Hauptverein des Evangelischen Bundes zur Wahrung deutsch-protestantischer Interessen in der Zeit des Nationalsozialismus.” <i>Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes</i>, vol. 71, Dr. Rudolf Habelt, 2022, pp. 41–55.","bibtex":"@article{Janus_2022, title={Akteure im Rheinischen Hauptverein des Evangelischen Bundes zur Wahrung deutsch-protestantischer Interessen in der Zeit des Nationalsozialismus}, volume={71}, journal={Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes}, publisher={Dr. Rudolf Habelt}, author={Janus, Richard}, year={2022}, pages={41–55} }","ama":"Janus R. Akteure im Rheinischen Hauptverein des Evangelischen Bundes zur Wahrung deutsch-protestantischer Interessen in der Zeit des Nationalsozialismus. <i>Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes</i>. 2022;71:41-55."},"publication":"Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes","department":[{"_id":"36"},{"_id":"20"},{"_id":"500"}],"type":"journal_article","date_created":"2024-05-14T07:41:10Z","intvolume":"        71","date_updated":"2024-05-14T07:41:14Z","publication_status":"published","author":[{"id":"31047","orcid":"https://orcid.org/0009-0006-0365-4546","first_name":"Richard","last_name":"Janus","full_name":"Janus, Richard"}],"publication_identifier":{"issn":["0540–6226"]},"status":"public","title":"Akteure im Rheinischen Hauptverein des Evangelischen Bundes zur Wahrung deutsch-protestantischer Interessen in der Zeit des Nationalsozialismus","year":"2022","volume":71,"user_id":"31047","publisher":"Dr. Rudolf Habelt","_id":"54272","language":[{"iso":"ger"}],"page":"41-55"},{"publication":"Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes","citation":{"ieee":"R. Janus, “Cesary Lipinski / Wolfgang Brylla (Hg.), Reformation 2017. Zwischen Gewinn und Verlust, Göttingen 2020,” <i>Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes</i>, vol. 71. Dr. Rudolf Habelt, Bonn, pp. 183–186, 2022.","apa":"Janus, R. (2022). Cesary Lipinski / Wolfgang Brylla (Hg.), Reformation 2017. Zwischen Gewinn und Verlust, Göttingen 2020. In <i>Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes</i> (Vol. 71, pp. 183–186). Dr. Rudolf Habelt.","short":"R. Janus, Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes 71 (2022) 183–186.","chicago":"Janus, Richard. “Cesary Lipinski / Wolfgang Brylla (Hg.), Reformation 2017. Zwischen Gewinn und Verlust, Göttingen 2020.” <i>Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes</i>. Bonn: Dr. Rudolf Habelt, 2022.","mla":"Janus, Richard. “Cesary Lipinski / Wolfgang Brylla (Hg.), Reformation 2017. Zwischen Gewinn und Verlust, Göttingen 2020.” <i>Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes</i>, vol. 71, Dr. Rudolf Habelt, 2022, pp. 183–86.","bibtex":"@article{Janus_2022, place={Bonn}, title={Cesary Lipinski / Wolfgang Brylla (Hg.), Reformation 2017. Zwischen Gewinn und Verlust, Göttingen 2020}, volume={71}, journal={Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes}, publisher={Dr. Rudolf Habelt}, author={Janus, Richard}, year={2022}, pages={183–186} }","ama":"Janus R. Cesary Lipinski / Wolfgang Brylla (Hg.), Reformation 2017. Zwischen Gewinn und Verlust, Göttingen 2020. <i>Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes</i>. 2022;71:183-186."},"date_created":"2024-05-14T07:43:49Z","place":"Bonn","type":"review","department":[{"_id":"36"},{"_id":"20"},{"_id":"500"}],"title":"Cesary Lipinski / Wolfgang Brylla (Hg.), Reformation 2017. Zwischen Gewinn und Verlust, Göttingen 2020","status":"public","year":"2022","author":[{"id":"31047","full_name":"Janus, Richard","last_name":"Janus","first_name":"Richard","orcid":"https://orcid.org/0009-0006-0365-4546"}],"publication_identifier":{"issn":["0540–6226"]},"publication_status":"published","date_updated":"2024-05-14T08:08:22Z","intvolume":"        71","page":"183-186","language":[{"iso":"ger"}],"_id":"54273","publisher":"Dr. Rudolf Habelt","user_id":"31047","volume":71},{"date_updated":"2024-05-26T19:13:09Z","year":"2022","status":"public","title":"EvoLearner: Learning Description Logics with Evolutionary Algorithms","author":[{"full_name":"Heindorf, Stefan","last_name":"Heindorf","first_name":"Stefan","orcid":"0000-0002-4525-6865","id":"11871"},{"full_name":"Blübaum, Lukas","last_name":"Blübaum","first_name":"Lukas"},{"first_name":"Nick","last_name":"Düsterhus","full_name":"Düsterhus, Nick"},{"last_name":"Werner","first_name":"Till","full_name":"Werner, Till"},{"full_name":"Golani, Varun Nandkumar","first_name":"Varun Nandkumar","last_name":"Golani"},{"last_name":"Demir","first_name":"Caglar","full_name":"Demir, Caglar","id":"43817"},{"full_name":"Ngonga Ngomo, Axel-Cyrille","last_name":"Ngonga Ngomo","first_name":"Axel-Cyrille","id":"65716"}],"user_id":"11871","doi":"10.1145/3485447.3511925","page":"818-828","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2111.04879"}],"_id":"29290","language":[{"iso":"eng"}],"publisher":"ACM","abstract":[{"text":"Classifying nodes in knowledge graphs is an important task, e.g., predicting\r\nmissing types of entities, predicting which molecules cause cancer, or\r\npredicting which drugs are promising treatment candidates. While black-box\r\nmodels often achieve high predictive performance, they are only post-hoc and\r\nlocally explainable and do not allow the learned model to be easily enriched\r\nwith domain knowledge. Towards this end, learning description logic concepts\r\nfrom positive and negative examples has been proposed. However, learning such\r\nconcepts often takes a long time and state-of-the-art approaches provide\r\nlimited support for literal data values, although they are crucial for many\r\napplications. In this paper, we propose EvoLearner - an evolutionary approach\r\nto learn ALCQ(D), which is the attributive language with complement (ALC)\r\npaired with qualified cardinality restrictions (Q) and data properties (D). We\r\ncontribute a novel initialization method for the initial population: starting\r\nfrom positive examples (nodes in the knowledge graph), we perform biased random\r\nwalks and translate them to description logic concepts. Moreover, we improve\r\nsupport for data properties by maximizing information gain when deciding where\r\nto split the data. We show that our approach significantly outperforms the\r\nstate of the art on the benchmarking framework SML-Bench for structured machine\r\nlearning. Our ablation study confirms that this is due to our novel\r\ninitialization method and support for data properties.","lang":"eng"}],"publication":"WWW","citation":{"mla":"Heindorf, Stefan, et al. “EvoLearner: Learning Description Logics with Evolutionary Algorithms.” <i>WWW</i>, ACM, 2022, pp. 818–28, doi:<a href=\"https://doi.org/10.1145/3485447.3511925\">10.1145/3485447.3511925</a>.","ama":"Heindorf S, Blübaum L, Düsterhus N, et al. EvoLearner: Learning Description Logics with Evolutionary Algorithms. In: <i>WWW</i>. ACM; 2022:818-828. doi:<a href=\"https://doi.org/10.1145/3485447.3511925\">10.1145/3485447.3511925</a>","bibtex":"@inproceedings{Heindorf_Blübaum_Düsterhus_Werner_Golani_Demir_Ngonga Ngomo_2022, title={EvoLearner: Learning Description Logics with Evolutionary Algorithms}, DOI={<a href=\"https://doi.org/10.1145/3485447.3511925\">10.1145/3485447.3511925</a>}, booktitle={WWW}, publisher={ACM}, author={Heindorf, Stefan and Blübaum, Lukas and Düsterhus, Nick and Werner, Till and Golani, Varun Nandkumar and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}, year={2022}, pages={818–828} }","apa":"Heindorf, S., Blübaum, L., Düsterhus, N., Werner, T., Golani, V. N., Demir, C., &#38; Ngonga Ngomo, A.-C. (2022). EvoLearner: Learning Description Logics with Evolutionary Algorithms. <i>WWW</i>, 818–828. <a href=\"https://doi.org/10.1145/3485447.3511925\">https://doi.org/10.1145/3485447.3511925</a>","ieee":"S. Heindorf <i>et al.</i>, “EvoLearner: Learning Description Logics with Evolutionary Algorithms,” in <i>WWW</i>, 2022, pp. 818–828, doi: <a href=\"https://doi.org/10.1145/3485447.3511925\">10.1145/3485447.3511925</a>.","chicago":"Heindorf, Stefan, Lukas Blübaum, Nick Düsterhus, Till Werner, Varun Nandkumar Golani, Caglar Demir, and Axel-Cyrille Ngonga Ngomo. “EvoLearner: Learning Description Logics with Evolutionary Algorithms.” In <i>WWW</i>, 818–28. ACM, 2022. <a href=\"https://doi.org/10.1145/3485447.3511925\">https://doi.org/10.1145/3485447.3511925</a>.","short":"S. Heindorf, L. Blübaum, N. Düsterhus, T. Werner, V.N. Golani, C. Demir, A.-C. Ngonga Ngomo, in: WWW, ACM, 2022, pp. 818–828."},"type":"conference","department":[{"_id":"574"}],"oa":"1","date_created":"2022-01-12T10:22:53Z"},{"place":"Wiesbaden","date_created":"2024-05-16T11:27:55Z","type":"book_chapter","department":[{"_id":"36"},{"_id":"20"},{"_id":"500"}],"publication":"Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren","citation":{"bibtex":"@inbook{Janus_Schroeter-Wittke_2022, place={Wiesbaden}, title={Einleitung}, booktitle={Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren}, publisher={Springer Fachmedien Wiesbaden}, author={Janus, Richard and Schroeter-Wittke, Harald}, editor={Janus, Richard and Schroeter-Wittke, Harald}, year={2022}, pages={1–6} }","ama":"Janus R, Schroeter-Wittke H. Einleitung. In: Janus R, Schroeter-Wittke H, eds. <i>Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren</i>. Springer Fachmedien Wiesbaden; 2022:1-6.","mla":"Janus, Richard, and Harald Schroeter-Wittke. “Einleitung.” <i>Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren</i>, edited by Richard Janus and Harald Schroeter-Wittke, Springer Fachmedien Wiesbaden, 2022, pp. 1–6.","chicago":"Janus, Richard, and Harald Schroeter-Wittke. “Einleitung.” In <i>Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren</i>, edited by Richard Janus and Harald Schroeter-Wittke, 1–6. Wiesbaden: Springer Fachmedien Wiesbaden, 2022.","short":"R. Janus, H. Schroeter-Wittke, in: R. Janus, H. Schroeter-Wittke (Eds.), Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren, Springer Fachmedien Wiesbaden, Wiesbaden, 2022, pp. 1–6.","ieee":"R. Janus and H. Schroeter-Wittke, “Einleitung,” in <i>Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren</i>, R. Janus and H. Schroeter-Wittke, Eds. Wiesbaden: Springer Fachmedien Wiesbaden, 2022, pp. 1–6.","apa":"Janus, R., &#38; Schroeter-Wittke, H. (2022). Einleitung. In R. Janus &#38; H. Schroeter-Wittke (Eds.), <i>Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren</i> (pp. 1–6). Springer Fachmedien Wiesbaden."},"page":"1-6","_id":"54310","language":[{"iso":"ger"}],"publisher":"Springer Fachmedien Wiesbaden","user_id":"31047","editor":[{"first_name":"Richard","last_name":"Janus","full_name":"Janus, Richard"},{"first_name":"Harald","last_name":"Schroeter-Wittke","full_name":"Schroeter-Wittke, Harald"}],"title":"Einleitung","year":"2022","status":"public","author":[{"full_name":"Janus, Richard","first_name":"Richard","orcid":"https://orcid.org/0009-0006-0365-4546","last_name":"Janus","id":"31047"},{"id":"480","full_name":"Schroeter-Wittke, Harald","last_name":"Schroeter-Wittke","first_name":"Harald"}],"date_updated":"2024-05-27T14:42:35Z","publication_status":"published"},{"language":[{"iso":"ger"}],"_id":"54309","series_title":"pop.religion: lebensstil - kultur - theologie","publisher":"Springer Fachmedien Wiesbaden","page":"53-67","editor":[{"full_name":"Janus, Richard","first_name":"Richard","last_name":"Janus"},{"full_name":"Schroeter-Wittke, Harald","last_name":"Schroeter-Wittke","first_name":"Harald"}],"user_id":"31047","author":[{"id":"31047","orcid":"https://orcid.org/0009-0006-0365-4546","last_name":"Janus","first_name":"Richard","full_name":"Janus, Richard"}],"title":"Eingeständnis - Bekenntnis - Widerstand. Die Geste des Bekennens als Ende jeglichen Begehrens","status":"public","year":"2022","publication_status":"published","date_updated":"2024-05-27T14:42:38Z","date_created":"2024-05-16T11:26:31Z","place":"Wiesbaden","department":[{"_id":"36"},{"_id":"20"},{"_id":"500"}],"type":"book_chapter","citation":{"ieee":"R. Janus, “Eingeständnis - Bekenntnis - Widerstand. Die Geste des Bekennens als Ende jeglichen Begehrens,” in <i>Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren</i>, R. Janus and H. Schroeter-Wittke, Eds. Wiesbaden: Springer Fachmedien Wiesbaden, 2022, pp. 53–67.","apa":"Janus, R. (2022). Eingeständnis - Bekenntnis - Widerstand. Die Geste des Bekennens als Ende jeglichen Begehrens. In R. Janus &#38; H. Schroeter-Wittke (Eds.), <i>Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren</i> (pp. 53–67). Springer Fachmedien Wiesbaden.","short":"R. Janus, in: R. Janus, H. Schroeter-Wittke (Eds.), Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren, Springer Fachmedien Wiesbaden, Wiesbaden, 2022, pp. 53–67.","chicago":"Janus, Richard. “Eingeständnis - Bekenntnis - Widerstand. Die Geste des Bekennens als Ende jeglichen Begehrens.” In <i>Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren</i>, edited by Richard Janus and Harald Schroeter-Wittke, 53–67. pop.religion: lebensstil - kultur - theologie. Wiesbaden: Springer Fachmedien Wiesbaden, 2022.","mla":"Janus, Richard. “Eingeständnis - Bekenntnis - Widerstand. Die Geste des Bekennens als Ende jeglichen Begehrens.” <i>Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren</i>, edited by Richard Janus and Harald Schroeter-Wittke, Springer Fachmedien Wiesbaden, 2022, pp. 53–67.","bibtex":"@inbook{Janus_2022, place={Wiesbaden}, series={pop.religion: lebensstil - kultur - theologie}, title={Eingeständnis - Bekenntnis - Widerstand. Die Geste des Bekennens als Ende jeglichen Begehrens}, booktitle={Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren}, publisher={Springer Fachmedien Wiesbaden}, author={Janus, Richard}, editor={Janus, Richard and Schroeter-Wittke, Harald}, year={2022}, pages={53–67}, collection={pop.religion: lebensstil - kultur - theologie} }","ama":"Janus R. Eingeständnis - Bekenntnis - Widerstand. Die Geste des Bekennens als Ende jeglichen Begehrens. In: Janus R, Schroeter-Wittke H, eds. <i>Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren</i>. pop.religion: lebensstil - kultur - theologie. Springer Fachmedien Wiesbaden; 2022:53-67."},"publication":"Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren"}]
