--- _id: '63241' author: - first_name: Lena Katharina full_name: Schmitt-Richter, Lena Katharina last_name: Schmitt-Richter - first_name: Sabrina full_name: Wüllner, Sabrina id: '105046' last_name: Wüllner - first_name: Katharina full_name: Schmidt, Katharina last_name: Schmidt - first_name: Muna full_name: Ebeling, Muna last_name: Ebeling citation: ama: Schmitt-Richter LK, Wüllner S, Schmidt K, Ebeling M. Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf. Pädagogikunterricht Die Fachzeitschrift für die pädagogische Fächergruppe. 2025;45(4):65-70. apa: Schmitt-Richter, L. K., Wüllner, S., Schmidt, K., & Ebeling, M. (2025). Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf. Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe., 45(4), 65–70. bibtex: '@article{Schmitt-Richter_Wüllner_Schmidt_Ebeling_2025, title={Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf}, volume={45}, number={4}, journal={Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe.}, author={Schmitt-Richter, Lena Katharina and Wüllner, Sabrina and Schmidt, Katharina and Ebeling, Muna}, year={2025}, pages={65–70} }' chicago: 'Schmitt-Richter, Lena Katharina, Sabrina Wüllner, Katharina Schmidt, and Muna Ebeling. “Von Der Idee Zur Umsetzung – Der Schulversuch an Der Maria-Montessori-Gesamtschule in Düsseldorf.” Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe. 45, no. 4 (2025): 65–70.' ieee: L. K. Schmitt-Richter, S. Wüllner, K. Schmidt, and M. Ebeling, “Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf,” Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe., vol. 45, no. 4, pp. 65–70, 2025. mla: Schmitt-Richter, Lena Katharina, et al. “Von Der Idee Zur Umsetzung – Der Schulversuch an Der Maria-Montessori-Gesamtschule in Düsseldorf.” Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe., vol. 45, no. 4, 2025, pp. 65–70. short: L.K. Schmitt-Richter, S. Wüllner, K. Schmidt, M. Ebeling, Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe. 45 (2025) 65–70. date_created: 2025-12-18T18:38:06Z date_updated: 2025-12-18T18:42:16Z intvolume: ' 45' issue: '4' language: - iso: eng page: 65-70 publication: Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe. status: public title: Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf type: journal_article user_id: '105046' volume: 45 year: '2025' ... --- _id: '63250' abstract: - lang: eng text: "Abstract\r\n \r\n An initial-boundary value problem for\r\n \r\n \ \r\n $$\\begin{aligned} \\left\\{ \\begin{array}{ll}u_{tt} = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x + au_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad & x\\in \\Omega , \\ t>0, \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta ) u_{xt}, \\qquad & x\\in \\Omega , \\ t>0, \\end{array} \\right. \\end{aligned}$$\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 \ \r\n tt\r\n \ \r\n \r\n \ =\r\n \r\n \ (\r\n \r\n \ γ\r\n \r\n \ (\r\n Θ\r\n \ )\r\n \r\n \ \r\n u\r\n \ \r\n xt\r\n \ \r\n \r\n \ \r\n \r\n \ )\r\n \r\n \ x\r\n \r\n \ +\r\n a\r\n \ \r\n u\r\n \ \r\n xx\r\n \ \r\n \r\n \ -\r\n \r\n \ (\r\n \r\n \ f\r\n \r\n \ (\r\n Θ\r\n \ )\r\n \r\n \ \r\n \r\n \ )\r\n \r\n \ x\r\n \r\n \ ,\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ x\r\n ∈\r\n \ Ω\r\n ,\r\n \ \r\n t\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 \ 1\r\n m\r\n \ m\r\n ]\r\n \ \r\n \r\n \ Θ\r\n t\r\n \ \r\n =\r\n \ \r\n Θ\r\n \ \r\n xx\r\n \ \r\n \r\n \ +\r\n γ\r\n \ \r\n (\r\n \ Θ\r\n )\r\n \ \r\n \r\n \ u\r\n \r\n \ xt\r\n \r\n \ 2\r\n \r\n \ -\r\n f\r\n \ \r\n (\r\n \ Θ\r\n )\r\n \ \r\n \r\n \ u\r\n \r\n \ xt\r\n \r\n \ \r\n ,\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n x\r\n \ ∈\r\n Ω\r\n \ ,\r\n \r\n \ t\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 \ \r\n is considered in an open bounded real interval\r\n \r\n \ \r\n $$\\Omega $$\r\n \r\n \ Ω\r\n \r\n \ \r\n \r\n \ . Under the assumption that\r\n \r\n \ \r\n $$\\gamma \\in C^0([0,\\infty ))$$\r\n \r\n \r\n \ γ\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 \ \r\n and\r\n \r\n \ \r\n $$f\\in C^0([0,\\infty ))$$\r\n \r\n \ \r\n f\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 \r\n \ are such that\r\n \r\n \ \r\n $$f(0)=0$$\r\n \ \r\n \ \r\n f\r\n \ (\r\n 0\r\n \ )\r\n =\r\n \ 0\r\n \r\n \ \r\n \r\n \ \r\n , and\r\n \r\n \ \r\n $$k_\\gamma \\le \\gamma \\le K_\\gamma $$\r\n \r\n \r\n \ \r\n k\r\n \ γ\r\n \r\n \ ≤\r\n γ\r\n \ ≤\r\n \r\n \ K\r\n γ\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n as well as\r\n \ \r\n \r\n \ $$\\begin{aligned} |f(\\xi )| \\le K_f \\cdot (\\xi +1)^\\alpha \\qquad \\hbox {for all } \\xi \\ge 0 \\end{aligned}$$\r\n \ \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ |\r\n f\r\n \ \r\n (\r\n \ ξ\r\n )\r\n \ \r\n |\r\n \ \r\n ≤\r\n \ \r\n K\r\n \ f\r\n \r\n \ ·\r\n \r\n \ \r\n (\r\n \ ξ\r\n +\r\n \ 1\r\n )\r\n \ \r\n α\r\n \ \r\n \r\n \ for all\r\n \r\n \ ξ\r\n ≥\r\n \ 0\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n with some\r\n \ \r\n \r\n \ $$k_\\gamma>0, K_\\gamma>0, K_f>0$$\r\n \ \r\n \ \r\n \r\n \ k\r\n γ\r\n \ \r\n >\r\n \ 0\r\n ,\r\n \ \r\n K\r\n \ γ\r\n \r\n \ >\r\n 0\r\n \ ,\r\n \r\n \ K\r\n f\r\n \ \r\n >\r\n \ 0\r\n \r\n \ \r\n \r\n \ \r\n and\r\n \r\n \ \r\n $$\\alpha <\\frac{3}{2}$$\r\n \r\n \ \r\n α\r\n \ <\r\n \r\n \ 3\r\n 2\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n , for all suitably regular initial data of arbitrary size a statement on global existence of a global weak solution is derived. By particularly covering the thermodynamically consistent choice\r\n \r\n \r\n \ $$f\\equiv id$$\r\n \r\n \r\n \ f\r\n ≡\r\n \ i\r\n d\r\n \ \r\n \r\n \ \r\n \r\n \ of predominant physical relevance, this appears to go beyond previous related literature which seems to either rely on independence of\r\n \ \r\n \r\n \ $$\\gamma $$\r\n \r\n γ\r\n \ \r\n \r\n \ \r\n on\r\n \r\n \ \r\n $$\\Theta $$\r\n \r\n \ Θ\r\n \r\n \ \r\n \r\n \ , or to operate on finite time intervals.\r\n " article_number: '192' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. Zeitschrift für angewandte Mathematik und Physik. 2025;76(5). doi:10.1007/s00033-025-02582-y apa: Winkler, M. (2025). Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. Zeitschrift Für Angewandte Mathematik Und Physik, 76(5), Article 192. https://doi.org/10.1007/s00033-025-02582-y bibtex: '@article{Winkler_2025, title={Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities}, volume={76}, DOI={10.1007/s00033-025-02582-y}, number={5192}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }' chicago: Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” Zeitschrift Für Angewandte Mathematik Und Physik 76, no. 5 (2025). https://doi.org/10.1007/s00033-025-02582-y. ieee: 'M. Winkler, “Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities,” Zeitschrift für angewandte Mathematik und Physik, vol. 76, no. 5, Art. no. 192, 2025, doi: 10.1007/s00033-025-02582-y.' mla: Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” Zeitschrift Für Angewandte Mathematik Und Physik, vol. 76, no. 5, 192, Springer Science and Business Media LLC, 2025, doi:10.1007/s00033-025-02582-y. short: M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 76 (2025). date_created: 2025-12-18T19:03:19Z date_updated: 2025-12-18T20:13:25Z doi: 10.1007/s00033-025-02582-y intvolume: ' 76' issue: '5' language: - iso: eng publication: Zeitschrift für angewandte Mathematik und Physik publication_identifier: issn: - 0044-2275 - 1420-9039 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities type: journal_article user_id: '31496' volume: 76 year: '2025' ... --- _id: '63249' abstract: - lang: eng text: "Abstract\r\n \r\n The model\r\n \r\n \r\n \ $$\\begin{aligned} \\left\\{ \\begin{array}{l}u_{tt} = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x + au_{xx} - \\big (f(\\Theta )\\big )_x, \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta ) u_{xt}, \\end{array} \\right. \\end{aligned}$$\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 \r\n \ tt\r\n \r\n \ \r\n =\r\n \ \r\n (\r\n \ \r\n γ\r\n \ \r\n (\r\n \ Θ\r\n )\r\n \ \r\n \r\n \ u\r\n \r\n \ xt\r\n \r\n \ \r\n \r\n \ \r\n )\r\n \ \r\n x\r\n \ \r\n +\r\n \ a\r\n \r\n \ u\r\n \r\n \ xx\r\n \r\n \ \r\n -\r\n \ \r\n (\r\n \ \r\n f\r\n \ \r\n (\r\n \ Θ\r\n )\r\n \ \r\n \r\n \ \r\n )\r\n \ \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 1\r\n \ m\r\n m\r\n \ ]\r\n \r\n \ \r\n Θ\r\n \ t\r\n \r\n \ =\r\n \r\n \ Θ\r\n \r\n \ xx\r\n \r\n \ \r\n +\r\n \ γ\r\n \r\n \ (\r\n Θ\r\n \ )\r\n \r\n \ \r\n u\r\n \ \r\n xt\r\n \ \r\n 2\r\n \ \r\n -\r\n \ f\r\n \r\n \ (\r\n Θ\r\n \ )\r\n \r\n \ \r\n u\r\n \ \r\n xt\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 \ \r\n \r\n \ for thermoviscoelastic evolution in one-dimensional Kelvin–Voigt materials is considered. By means of an approach based on maximal Sobolev regularity theory of scalar parabolic equations, it is shown that if\r\n \r\n \ \r\n $$\\gamma _0>0$$\r\n \r\n \ \r\n \r\n \ γ\r\n 0\r\n \ \r\n >\r\n \ 0\r\n \r\n \ \r\n \r\n \ \r\n is fixed, then there exists\r\n \r\n \r\n \ $$\\delta =\\delta (\\gamma _0)>0$$\r\n \ \r\n \ \r\n δ\r\n \ =\r\n δ\r\n \ (\r\n \r\n \ γ\r\n 0\r\n \ \r\n )\r\n \ >\r\n 0\r\n \ \r\n \r\n \ \r\n \r\n \ with the property that for suitably regular initial data of arbitrary size an associated initial boundary value problem posed in an open bounded interval admits a global classical solution whenever\r\n \r\n \ \r\n $$\\gamma \\in C^2([0,\\infty ))$$\r\n \r\n \r\n \ γ\r\n ∈\r\n \ \r\n C\r\n \ 2\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 \ \r\n and\r\n \r\n \ \r\n $$f\\in C^2([0,\\infty ))$$\r\n \r\n \ \r\n f\r\n \ ∈\r\n \r\n \ C\r\n 2\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 \r\n \ are such that\r\n \r\n \ \r\n $$f(0)=0$$\r\n \ \r\n \ \r\n f\r\n \ (\r\n 0\r\n \ )\r\n =\r\n \ 0\r\n \r\n \ \r\n \r\n \ \r\n and\r\n \r\n \ \r\n $$|f(\\xi )| \\le K_f \\cdot (\\xi +1)^\\alpha $$\r\n \r\n \r\n \ \r\n |\r\n \ f\r\n \r\n \ (\r\n ξ\r\n \ )\r\n \r\n \ |\r\n \r\n \ ≤\r\n \r\n \ K\r\n f\r\n \ \r\n ·\r\n \ \r\n \r\n \ (\r\n ξ\r\n \ +\r\n 1\r\n \ )\r\n \r\n \ α\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ for all\r\n \r\n \r\n \ $$\\xi \\ge 0$$\r\n \r\n \r\n \ ξ\r\n ≥\r\n \ 0\r\n \r\n \ \r\n \r\n \ \r\n and some\r\n \ \r\n \r\n \ $$K_f>0$$\r\n \r\n \r\n \ \r\n K\r\n \ f\r\n \r\n \ >\r\n 0\r\n \ \r\n \r\n \ \r\n \r\n \ and\r\n \r\n \r\n \ $$\\alpha <\\frac{3}{2}$$\r\n \ \r\n \ \r\n α\r\n \ <\r\n \r\n \ 3\r\n 2\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n , and that\r\n \ \r\n \r\n \ $$\\begin{aligned} \\gamma _0 \\le \\gamma (\\xi ) \\le \\gamma _0 + \\delta \\qquad \\hbox {for all } \\xi \\ge 0. \\end{aligned}$$\r\n \ \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ γ\r\n 0\r\n \ \r\n ≤\r\n \ γ\r\n \r\n \ (\r\n ξ\r\n \ )\r\n \r\n \ ≤\r\n \r\n \ γ\r\n 0\r\n \ \r\n +\r\n \ δ\r\n \r\n \ for all\r\n \r\n \ ξ\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 \ This is supplemented by a statement on global existence of certain strong solutions, particularly continuous in both components, under weaker conditions on the initial data.\r\n " article_number: '108' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. Journal of Evolution Equations. 2025;25(4). doi:10.1007/s00028-025-01144-z apa: Winkler, M. (2025). Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. Journal of Evolution Equations, 25(4), Article 108. https://doi.org/10.1007/s00028-025-01144-z bibtex: '@article{Winkler_2025, title={Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities}, volume={25}, DOI={10.1007/s00028-025-01144-z}, number={4108}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }' chicago: Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” Journal of Evolution Equations 25, no. 4 (2025). https://doi.org/10.1007/s00028-025-01144-z. ieee: 'M. Winkler, “Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities,” Journal of Evolution Equations, vol. 25, no. 4, Art. no. 108, 2025, doi: 10.1007/s00028-025-01144-z.' mla: Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” Journal of Evolution Equations, vol. 25, no. 4, 108, Springer Science and Business Media LLC, 2025, doi:10.1007/s00028-025-01144-z. short: M. Winkler, Journal of Evolution Equations 25 (2025). date_created: 2025-12-18T19:02:51Z date_updated: 2025-12-18T20:13:11Z doi: 10.1007/s00028-025-01144-z intvolume: ' 25' issue: '4' language: - iso: eng publication: Journal of Evolution Equations publication_identifier: issn: - 1424-3199 - 1424-3202 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities type: journal_article user_id: '31496' volume: 25 year: '2025' ... --- _id: '63246' abstract: - lang: eng text: "Abstract\r\n \r\n The hyperbolic-parabolic model\r\n \r\n \r\n \ $$\\begin{aligned} \\left\\{ \\begin{array}{ll} u_{tt} = u_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad & x\\in \\Omega , \\ t>0, \\\\ \\Theta _t = \\Theta _{xx} - f(\\Theta ) u_{xt}, \\qquad & \ x\\in \\Omega , \\ t>0, \\end{array} \\right. \\end{aligned}$$\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 \ \r\n tt\r\n \ \r\n \r\n \ =\r\n \r\n \ u\r\n \r\n \ xx\r\n \r\n \ \r\n -\r\n \ \r\n (\r\n \ \r\n f\r\n \ \r\n (\r\n \ Θ\r\n )\r\n \ \r\n \r\n \ \r\n )\r\n \ \r\n x\r\n \ \r\n ,\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n x\r\n \ ∈\r\n Ω\r\n \ ,\r\n \r\n \ t\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 \ Θ\r\n t\r\n \ \r\n =\r\n \ \r\n Θ\r\n \ \r\n xx\r\n \ \r\n \r\n \ -\r\n f\r\n \ \r\n (\r\n \ Θ\r\n )\r\n \ \r\n \r\n \ u\r\n \r\n \ xt\r\n \r\n \ \r\n ,\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n x\r\n \ ∈\r\n Ω\r\n \ ,\r\n \r\n \ t\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 \ \r\n for the evolution of the displacement variable\r\n u\r\n \ and the temperature\r\n \r\n \ \r\n $$\\Theta \\ge 0$$\r\n \r\n \ \r\n Θ\r\n \ ≥\r\n 0\r\n \ \r\n \r\n \ \r\n \r\n \ during thermoelastic interaction in a one-dimensional bounded interval\r\n \r\n \r\n \ $$\\Omega $$\r\n \r\n Ω\r\n \ \r\n \r\n \ \r\n is considered. Whereas the literature has provided comprehensive results on global solutions for sufficiently regular initial data\r\n \r\n \ \r\n $$(u_0,u_{0t},\\Theta _0)=(u,u_t,\\Theta )|_{t=0}$$\r\n \r\n \r\n \ \r\n (\r\n \ \r\n u\r\n \ 0\r\n \r\n \ ,\r\n \r\n \ u\r\n \r\n \ 0\r\n t\r\n \ \r\n \r\n \ ,\r\n \r\n \ Θ\r\n 0\r\n \ \r\n )\r\n \ \r\n =\r\n \ \r\n (\r\n \ u\r\n ,\r\n \ \r\n u\r\n \ t\r\n \r\n \ ,\r\n Θ\r\n \ )\r\n \r\n \ \r\n \r\n \ |\r\n \r\n \ \r\n t\r\n \ =\r\n 0\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ when\r\n \r\n \r\n \ $$f\\equiv id$$\r\n \r\n \r\n \ f\r\n ≡\r\n \ i\r\n d\r\n \ \r\n \r\n \ \r\n \r\n \ , it seems to have remained open so far how far a solution theory can be built solely on the two fundamental physical principles of energy conservation and entropy nondecrease. The present manuscript addresses this by asserting global existence of weak solutions under assumptions which are energy- and entropy-minimal in the sense of allowing for any initial data\r\n \r\n \ \r\n $$u_0\\in W_0^{1,2}(\\Omega )$$\r\n \r\n \ \r\n \r\n \ u\r\n 0\r\n \ \r\n ∈\r\n \ \r\n W\r\n \ 0\r\n \r\n \ 1\r\n ,\r\n \ 2\r\n \r\n \ \r\n \r\n \ (\r\n Ω\r\n \ )\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ ,\r\n \r\n \r\n \ $$u_{0t} \\in L^2(\\Omega )$$\r\n \ \r\n \ \r\n \r\n \ u\r\n \r\n \ 0\r\n t\r\n \ \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\n \ \r\n \r\n \ and\r\n \r\n \r\n \ $$0\\le \\Theta _0\\in L^1(\\Omega )$$\r\n \ \r\n \ \r\n 0\r\n \ ≤\r\n \r\n \ Θ\r\n 0\r\n \ \r\n ∈\r\n \ \r\n L\r\n \ 1\r\n \r\n \ \r\n (\r\n \ Ω\r\n )\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n , and which apply to arbitrary\r\n \r\n \r\n \ $$f\\in C^1([0,\\infty ))$$\r\n \ \r\n \ \r\n f\r\n \ ∈\r\n \r\n \ C\r\n 1\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 \r\n \ with\r\n \r\n \r\n \ $$f(0)=0$$\r\n \r\n \r\n \ f\r\n (\r\n \ 0\r\n )\r\n \ =\r\n 0\r\n \ \r\n \r\n \ \r\n \r\n \ and\r\n \r\n \r\n \ $$f'>0$$\r\n \r\n \r\n \ \r\n f\r\n \ ′\r\n \r\n \ >\r\n 0\r\n \ \r\n \r\n \ \r\n \r\n \ on\r\n \r\n \r\n \ $$[0,\\infty )$$\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 " article_number: '1' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Rough solutions in one-dimensional nonlinear thermoelasticity. Calculus of Variations and Partial Differential Equations. 2025;65(1). doi:10.1007/s00526-025-03170-8 apa: Winkler, M. (2025). Rough solutions in one-dimensional nonlinear thermoelasticity. Calculus of Variations and Partial Differential Equations, 65(1), Article 1. https://doi.org/10.1007/s00526-025-03170-8 bibtex: '@article{Winkler_2025, title={Rough solutions in one-dimensional nonlinear thermoelasticity}, volume={65}, DOI={10.1007/s00526-025-03170-8}, number={11}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }' chicago: Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” Calculus of Variations and Partial Differential Equations 65, no. 1 (2025). https://doi.org/10.1007/s00526-025-03170-8. ieee: 'M. Winkler, “Rough solutions in one-dimensional nonlinear thermoelasticity,” Calculus of Variations and Partial Differential Equations, vol. 65, no. 1, Art. no. 1, 2025, doi: 10.1007/s00526-025-03170-8.' mla: Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” Calculus of Variations and Partial Differential Equations, vol. 65, no. 1, 1, Springer Science and Business Media LLC, 2025, doi:10.1007/s00526-025-03170-8. short: M. Winkler, Calculus of Variations and Partial Differential Equations 65 (2025). date_created: 2025-12-18T19:01:02Z date_updated: 2025-12-18T20:12:50Z doi: 10.1007/s00526-025-03170-8 intvolume: ' 65' issue: '1' language: - iso: eng publication: Calculus of Variations and Partial Differential Equations publication_identifier: issn: - 0944-2669 - 1432-0835 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Rough solutions in one-dimensional nonlinear thermoelasticity type: journal_article user_id: '31496' volume: 65 year: '2025' ... --- _id: '63244' abstract: - lang: eng text: "\r\n The Cauchy problem in \r\n \r\n \ \\mathbb{R}^{n}\r\n \r\n \ for the cross-diffusion system \r\n \r\n \r\n \ \r\n \\begin{cases}u_{t} = \\nabla \\cdot (D(u)\\nabla u) - \\nabla\\cdot (u\\nabla v), \\\\ 0 = \\Delta v +u,\\end{cases}\r\n \r\n \r\n \ \r\n is considered for \r\n \r\n \ n\\ge 2\r\n \r\n \ and under assumptions ensuring that \r\n \r\n \ D\r\n \r\n \ suitably generalizes the prototype given by \r\n \r\n \ \r\n \r\n D(\\xi)=(\\xi+1)^{-\\alpha}, \\quad \\xi\\ge 0.\r\n \r\n \r\n \ \r\n Under the assumption that \r\n \r\n \ \\alpha>1\r\n \r\n \ , it is shown that for any \r\n \r\n \ r_{\\star}>0\r\n \r\n \ and \r\n \r\n \\delta\\in (0,1)\r\n \r\n one can find radially symmetric initial data from \r\n \r\n \ C_{0}^{\\infty}(\\mathbb{R}^{n})\r\n \ \r\n such that the corresponding solution blows up within some finite time, and that this explosion occurs throughout certain spheres in an appropriate sense, with any such sphere being located in the annulus \r\n \r\n \\overline{B}_{r_\\star+\\delta}(0)\\setminus B_{(1-\\delta)r_\\star}(0)\r\n \r\n \ .This is complemented by a result revealing that when \r\n \r\n \ \\alpha<1\r\n \r\n \ , any finite-mass unbounded radial solution must blow up exclusively at the spatial origin.\r\n " author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system. Journal of the European Mathematical Society. Published online 2025. doi:10.4171/jems/1607 apa: Winkler, M. (2025). Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system. Journal of the European Mathematical Society. https://doi.org/10.4171/jems/1607 bibtex: '@article{Winkler_2025, title={Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system}, DOI={10.4171/jems/1607}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2025} }' chicago: Winkler, Michael. “Can Diffusion Degeneracies Enhance Complexity in Chemotactic Aggregation? Finite-Time Blow-up on Spheres in a Quasilinear Keller–Segel System.” Journal of the European Mathematical Society, 2025. https://doi.org/10.4171/jems/1607. ieee: 'M. Winkler, “Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system,” Journal of the European Mathematical Society, 2025, doi: 10.4171/jems/1607.' mla: Winkler, Michael. “Can Diffusion Degeneracies Enhance Complexity in Chemotactic Aggregation? Finite-Time Blow-up on Spheres in a Quasilinear Keller–Segel System.” Journal of the European Mathematical Society, European Mathematical Society - EMS - Publishing House GmbH, 2025, doi:10.4171/jems/1607. short: M. Winkler, Journal of the European Mathematical Society (2025). date_created: 2025-12-18T18:59:39Z date_updated: 2025-12-18T20:12:36Z doi: 10.4171/jems/1607 language: - iso: eng publication: Journal of the European Mathematical Society publication_identifier: issn: - 1435-9855 - 1435-9863 publication_status: published publisher: European Mathematical Society - EMS - Publishing House GmbH status: public title: Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system type: journal_article user_id: '31496' year: '2025' ... --- _id: '63247' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Tao Y, Winkler M. A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production. Journal of Differential Equations. 2025;423:197-239. doi:10.1016/j.jde.2024.12.040 apa: Tao, Y., & Winkler, M. (2025). A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production. Journal of Differential Equations, 423, 197–239. https://doi.org/10.1016/j.jde.2024.12.040 bibtex: '@article{Tao_Winkler_2025, title={A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production}, volume={423}, DOI={10.1016/j.jde.2024.12.040}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2025}, pages={197–239} }' chicago: 'Tao, Youshan, and Michael Winkler. “A Switch in Dimension Dependence of Critical Blow-up Exponents in a Keller-Segel System Involving Indirect Signal Production.” Journal of Differential Equations 423 (2025): 197–239. https://doi.org/10.1016/j.jde.2024.12.040.' ieee: 'Y. Tao and M. Winkler, “A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production,” Journal of Differential Equations, vol. 423, pp. 197–239, 2025, doi: 10.1016/j.jde.2024.12.040.' mla: Tao, Youshan, and Michael Winkler. “A Switch in Dimension Dependence of Critical Blow-up Exponents in a Keller-Segel System Involving Indirect Signal Production.” Journal of Differential Equations, vol. 423, Elsevier BV, 2025, pp. 197–239, doi:10.1016/j.jde.2024.12.040. short: Y. Tao, M. Winkler, Journal of Differential Equations 423 (2025) 197–239. date_created: 2025-12-18T19:01:40Z date_updated: 2025-12-18T20:12:58Z doi: 10.1016/j.jde.2024.12.040 intvolume: ' 423' language: - iso: eng page: 197-239 publication: Journal of Differential Equations publication_identifier: issn: - 0022-0396 publication_status: published publisher: Elsevier BV status: public title: A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production type: journal_article user_id: '31496' volume: 423 year: '2025' ... --- _id: '63252' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Tao Y, Winkler M. A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production. Science China Mathematics. 2025;68(12):2867-2900. doi:10.1007/s11425-023-2397-y apa: Tao, Y., & Winkler, M. (2025). A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production. Science China Mathematics, 68(12), 2867–2900. https://doi.org/10.1007/s11425-023-2397-y bibtex: '@article{Tao_Winkler_2025, title={A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production}, volume={68}, DOI={10.1007/s11425-023-2397-y}, number={12}, journal={Science China Mathematics}, publisher={Springer Science and Business Media LLC}, author={Tao, Youshan and Winkler, Michael}, year={2025}, pages={2867–2900} }' chicago: 'Tao, Youshan, and Michael Winkler. “A Unified Approach to Existence Theories for Singular Chemotaxis Systems with Nonlinear Signal Production.” Science China Mathematics 68, no. 12 (2025): 2867–2900. https://doi.org/10.1007/s11425-023-2397-y.' ieee: 'Y. Tao and M. Winkler, “A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production,” Science China Mathematics, vol. 68, no. 12, pp. 2867–2900, 2025, doi: 10.1007/s11425-023-2397-y.' mla: Tao, Youshan, and Michael Winkler. “A Unified Approach to Existence Theories for Singular Chemotaxis Systems with Nonlinear Signal Production.” Science China Mathematics, vol. 68, no. 12, Springer Science and Business Media LLC, 2025, pp. 2867–900, doi:10.1007/s11425-023-2397-y. short: Y. Tao, M. Winkler, Science China Mathematics 68 (2025) 2867–2900. date_created: 2025-12-18T19:04:17Z date_updated: 2025-12-18T20:13:40Z doi: 10.1007/s11425-023-2397-y intvolume: ' 68' issue: '12' language: - iso: eng page: 2867-2900 publication: Science China Mathematics publication_identifier: issn: - 1674-7283 - 1869-1862 publication_status: published publisher: Springer Science and Business Media LLC status: public title: A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production type: journal_article user_id: '31496' volume: 68 year: '2025' ... --- _id: '63344' abstract: - lang: eng text: "Abstract\r\n A Neumann-type initial-boundary value problem for \r\n \r\n \ $$\\begin{aligned} \\left\\{ \\begin{array}{l} u_{tt} = \\nabla \\cdot (\\gamma (\\Theta ) \\nabla u_t) + a \\nabla \\cdot (\\gamma (\\Theta ) \\nabla u) + \\nabla \\cdot f(\\Theta ), \\\\ \\Theta _t = D\\Delta \\Theta + \\Gamma (\\Theta ) |\\nabla u_t|^2 + F(\\Theta )\\cdot \\nabla u_t, \\end{array} \\right. \\end{aligned}$$\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 \ \r\n tt\r\n \ \r\n \r\n \ =\r\n ∇\r\n \ ·\r\n \r\n \ (\r\n γ\r\n \ \r\n (\r\n \ Θ\r\n )\r\n \ \r\n ∇\r\n \ \r\n u\r\n \ t\r\n \r\n \ )\r\n \r\n \ +\r\n a\r\n \ ∇\r\n ·\r\n \ \r\n (\r\n \ γ\r\n \r\n \ (\r\n Θ\r\n \ )\r\n \r\n \ ∇\r\n u\r\n \ )\r\n \r\n \ +\r\n ∇\r\n \ ·\r\n f\r\n \ \r\n (\r\n \ Θ\r\n )\r\n \ \r\n ,\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ Θ\r\n t\r\n \ \r\n =\r\n \ D\r\n Δ\r\n \ Θ\r\n +\r\n \ Γ\r\n \r\n \ (\r\n Θ\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 \ 2\r\n \r\n \ +\r\n F\r\n \ \r\n (\r\n \ Θ\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 \ \r\n \r\n \ \r\n \r\n \r\n \ \r\n \r\n \r\n \ is considered in a smoothly bounded domain \r\n \ \r\n $$\\Omega \\subset \\mathbb {R}^n$$\r\n \r\n \ \r\n Ω\r\n ⊂\r\n \ \r\n \r\n R\r\n \ \r\n n\r\n \ \r\n \r\n \r\n \ \r\n , \r\n \ \r\n $$n\\ge 1$$\r\n \ \r\n \ \r\n n\r\n ≥\r\n \ 1\r\n \r\n \r\n \ \r\n . In the case when \r\n \r\n $$n=1$$\r\n \ \r\n \ \r\n n\r\n =\r\n \ 1\r\n \r\n \r\n \ \r\n , \r\n \ \r\n $$\\gamma \\equiv \\Gamma $$\r\n \r\n \ \r\n γ\r\n ≡\r\n \ Γ\r\n \r\n \r\n \ \r\n and \r\n \ \r\n $$f\\equiv F$$\r\n \r\n \ \r\n f\r\n ≡\r\n \ F\r\n \r\n \r\n \ \r\n , this system coincides with the standard model for heat generation in a viscoelastic material of Kelvin-Voigt type, well-understood in situations in which \r\n \ \r\n $$\\gamma =const$$\r\n \r\n \ \r\n γ\r\n =\r\n \ c\r\n o\r\n \ n\r\n s\r\n \ t\r\n \r\n \r\n \ \r\n . Covering scenarios in which all key ingredients \r\n \r\n \ $$\\gamma ,\\Gamma ,f$$\r\n \r\n \r\n \ γ\r\n ,\r\n \ Γ\r\n ,\r\n \ f\r\n \r\n \r\n \ \r\n and F may depend on the temperature \r\n \r\n \ $$\\Theta $$\r\n \r\n Θ\r\n \ \r\n \r\n here, for initial data which merely satisfy \r\n \r\n \ $$u_0\\in W^{1,p+2}(\\Omega )$$\r\n \ \r\n \ \r\n \r\n u\r\n \ 0\r\n \r\n \ ∈\r\n \r\n W\r\n \ \r\n 1\r\n \ ,\r\n p\r\n \ +\r\n 2\r\n \ \r\n \r\n \r\n \ (\r\n Ω\r\n \ )\r\n \r\n \ \r\n \r\n \r\n \ , \r\n \r\n \ $$u_{0t}\\in W^{1,p}(\\Omega )$$\r\n \ \r\n \ \r\n \r\n u\r\n \ \r\n 0\r\n \ t\r\n \r\n \ \r\n ∈\r\n \ \r\n W\r\n \ \r\n 1\r\n \ ,\r\n p\r\n \ \r\n \r\n \r\n \ (\r\n Ω\r\n \ )\r\n \r\n \ \r\n \r\n \r\n \ and \r\n \r\n \ $$\\Theta _0\\in W^{1,p}(\\Omega )$$\r\n \ \r\n \ \r\n \r\n Θ\r\n \ 0\r\n \r\n \ ∈\r\n \r\n W\r\n \ \r\n 1\r\n \ ,\r\n p\r\n \ \r\n \r\n \r\n \ (\r\n Ω\r\n \ )\r\n \r\n \ \r\n \r\n \r\n \ with some \r\n \r\n \ $$p\\ge 2$$\r\n \r\n \r\n \ p\r\n ≥\r\n \ 2\r\n \r\n \r\n \ \r\n such that \r\n \r\n $$p>n$$\r\n \ \r\n \ \r\n p\r\n >\r\n \ n\r\n \r\n \r\n \ \r\n , a result on local-in-time existence and uniqueness is derived in a natural framework of weak solvability." article_number: '44' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics & Optimization. 2025;91(2). doi:10.1007/s00245-025-10243-9 apa: Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics & Optimization, 91(2), Article 44. https://doi.org/10.1007/s00245-025-10243-9 bibtex: '@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91}, DOI={10.1007/s00245-025-10243-9}, number={244}, journal={Applied Mathematics & Optimization}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }' chicago: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics & Optimization 91, no. 2 (2025). https://doi.org/10.1007/s00245-025-10243-9. ieee: 'M. Winkler, “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters,” Applied Mathematics & Optimization, vol. 91, no. 2, Art. no. 44, 2025, doi: 10.1007/s00245-025-10243-9.' mla: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics & Optimization, vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9. short: M. Winkler, Applied Mathematics & Optimization 91 (2025). date_created: 2025-12-18T20:20:06Z date_updated: 2025-12-18T20:20:16Z doi: 10.1007/s00245-025-10243-9 intvolume: ' 91' issue: '2' language: - iso: eng publication: Applied Mathematics & Optimization publication_identifier: issn: - 0095-4616 - 1432-0606 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters type: journal_article user_id: '31496' volume: 91 year: '2025' ... --- _id: '63242' abstract: - lang: eng text: "Abstract\r\n \r\n For\r\n \ \r\n \r\n \ $$p>2$$\r\n \r\n \r\n \ p\r\n >\r\n \ 2\r\n \r\n \ \r\n \r\n \ \r\n , the equation\r\n \ \r\n \r\n \ $$\\begin{aligned} u_t = u^p u_{xx}, \\qquad x\\in \\mathbb {R}, \\ t\\in \\mathbb {R}, \\end{aligned}$$\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 u\r\n \ p\r\n \r\n \ \r\n u\r\n \ \r\n xx\r\n \ \r\n \r\n \ ,\r\n \r\n \ x\r\n ∈\r\n \ R\r\n ,\r\n \ \r\n t\r\n \ ∈\r\n R\r\n \ ,\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n is shown to admit positive and spatially increasing smooth solutions on all of\r\n \r\n \ \r\n $$\\mathbb {R}\\times \\mathbb {R}$$\r\n \r\n \r\n \ R\r\n ×\r\n \ R\r\n \r\n \ \r\n \r\n \ \r\n which are precisely of the form of an accelerating wave for\r\n \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 \r\n \ , and of a wave slowing down for\r\n \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 \r\n \ . These solutions satisfy\r\n \r\n \ \r\n $$u(\\cdot ,t)\\rightarrow 0$$\r\n \r\n \ \r\n u\r\n \ (\r\n ·\r\n \ ,\r\n t\r\n \ )\r\n →\r\n \ 0\r\n \r\n \ \r\n \r\n \ \r\n in\r\n \r\n \ \r\n $$L^\\infty _{loc}(\\mathbb {R})$$\r\n \r\n \ \r\n \r\n \ L\r\n \r\n \ loc\r\n \r\n \ ∞\r\n \r\n \ \r\n (\r\n \ R\r\n )\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n as\r\n \r\n \ \r\n $$t\\rightarrow + \\infty $$\r\n \r\n \ \r\n t\r\n \ →\r\n +\r\n \ ∞\r\n \r\n \ \r\n \r\n \ \r\n and as\r\n \r\n \ \r\n $$t\\rightarrow -\\infty $$\r\n \r\n \ \r\n t\r\n \ →\r\n -\r\n \ ∞\r\n \r\n \ \r\n \r\n \ \r\n , and exhibit a yet apparently undiscovered phenomenon of transient rapid spatial growth, in the sense that\r\n \r\n \r\n \ $$\\begin{aligned} \\lim _{x\\rightarrow +\\infty } x^{-1} u(x,t) \\quad \\text{ exists } \\text{ for } \\text{ all } t<0, \\end{aligned}$$\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ lim\r\n \r\n \ x\r\n →\r\n \ +\r\n ∞\r\n \ \r\n \r\n \ \r\n x\r\n \ \r\n -\r\n \ 1\r\n \r\n \ \r\n u\r\n \ \r\n (\r\n \ x\r\n ,\r\n \ t\r\n )\r\n \ \r\n \r\n \ \r\n exists\r\n \ \r\n \r\n \ for\r\n \r\n \ \r\n all\r\n \ \r\n t\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 that\r\n \r\n \ \r\n $$\\begin{aligned} \\lim _{x\\rightarrow +\\infty } x^{-\\frac{2}{p}} u(x,t) \\quad \\text{ exists } \\text{ for } \\text{ all } t>0, \\end{aligned}$$\r\n \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n lim\r\n \ \r\n x\r\n \ →\r\n +\r\n \ ∞\r\n \r\n \ \r\n \r\n \ x\r\n \r\n \ -\r\n \r\n \ 2\r\n p\r\n \ \r\n \r\n \ \r\n u\r\n \ \r\n (\r\n \ x\r\n ,\r\n \ t\r\n )\r\n \ \r\n \r\n \ \r\n exists\r\n \ \r\n \r\n \ for\r\n \r\n \ \r\n all\r\n \ \r\n t\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 but that\r\n \r\n \ \r\n $$\\begin{aligned} u(x,0)=K e^{\\alpha x} \\qquad \\text{ for } \\text{ all } x\\in \\mathbb {R}\\end{aligned}$$\r\n \ \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n u\r\n \ \r\n (\r\n \ x\r\n ,\r\n \ 0\r\n )\r\n \ \r\n =\r\n \ K\r\n \r\n \ e\r\n \r\n \ α\r\n x\r\n \ \r\n \r\n \ \r\n \r\n \ for\r\n \r\n \ \r\n all\r\n \ \r\n x\r\n \ ∈\r\n R\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ with some\r\n \r\n \ \r\n $$K>0$$\r\n \ \r\n \ \r\n K\r\n \ >\r\n 0\r\n \ \r\n \r\n \ \r\n \r\n \ and\r\n \r\n \r\n \ $$\\alpha >0$$\r\n \r\n \r\n \ α\r\n >\r\n \ 0\r\n \r\n \ \r\n \r\n \ \r\n .\r\n " author: - first_name: Celina full_name: Hanfland, Celina last_name: Hanfland - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Hanfland C, Winkler M. Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation. Journal of Elliptic and Parabolic Equations. 2025;11(3):2041-2063. doi:10.1007/s41808-025-00316-9 apa: Hanfland, C., & Winkler, M. (2025). Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation. Journal of Elliptic and Parabolic Equations, 11(3), 2041–2063. https://doi.org/10.1007/s41808-025-00316-9 bibtex: '@article{Hanfland_Winkler_2025, title={Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation}, volume={11}, DOI={10.1007/s41808-025-00316-9}, number={3}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Hanfland, Celina and Winkler, Michael}, year={2025}, pages={2041–2063} }' chicago: 'Hanfland, Celina, and Michael Winkler. “Exactly Wave-Type Homoclinic Orbits and Emergence of Transient Exponential Growth in a Super-Fast Diffusion Equation.” Journal of Elliptic and Parabolic Equations 11, no. 3 (2025): 2041–63. https://doi.org/10.1007/s41808-025-00316-9.' ieee: 'C. Hanfland and M. Winkler, “Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation,” Journal of Elliptic and Parabolic Equations, vol. 11, no. 3, pp. 2041–2063, 2025, doi: 10.1007/s41808-025-00316-9.' mla: Hanfland, Celina, and Michael Winkler. “Exactly Wave-Type Homoclinic Orbits and Emergence of Transient Exponential Growth in a Super-Fast Diffusion Equation.” Journal of Elliptic and Parabolic Equations, vol. 11, no. 3, Springer Science and Business Media LLC, 2025, pp. 2041–63, doi:10.1007/s41808-025-00316-9. short: C. Hanfland, M. Winkler, Journal of Elliptic and Parabolic Equations 11 (2025) 2041–2063. date_created: 2025-12-18T18:57:21Z date_updated: 2025-12-18T20:16:49Z doi: 10.1007/s41808-025-00316-9 intvolume: ' 11' issue: '3' language: - iso: eng page: 2041-2063 publication: Journal of Elliptic and Parabolic Equations publication_identifier: issn: - 2296-9020 - 2296-9039 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation type: journal_article user_id: '31496' volume: 11 year: '2025' ... --- _id: '63164' abstract: - lang: eng text: Refined investigation of chemotaxis processes has revealed a significant role of degeneracies in corresponding motilities in a number of application contexts. A rapidly growing literature concerned with the analysis of resulting mathematical models has been capable of solving fundamental issues, but various problems have remained open, or even newly arisen. The goal of the paper consists in a summary of some developments in this area, and particularly in the discussion of the question how far the introduction of degeneracies may influence the behavior of solutions to chemotaxis systems. author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Effects of degeneracies in taxis-driven evolution. Mathematical Models and Methods in Applied Sciences. 2025;35(02):283-343. doi:10.1142/s0218202525400020 apa: Winkler, M. (2025). Effects of degeneracies in taxis-driven evolution. Mathematical Models and Methods in Applied Sciences, 35(02), 283–343. https://doi.org/10.1142/s0218202525400020 bibtex: '@article{Winkler_2025, title={Effects of degeneracies in taxis-driven evolution}, volume={35}, DOI={10.1142/s0218202525400020}, number={02}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2025}, pages={283–343} }' chicago: 'Winkler, Michael. “Effects of Degeneracies in Taxis-Driven Evolution.” Mathematical Models and Methods in Applied Sciences 35, no. 02 (2025): 283–343. https://doi.org/10.1142/s0218202525400020.' ieee: 'M. Winkler, “Effects of degeneracies in taxis-driven evolution,” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 02, pp. 283–343, 2025, doi: 10.1142/s0218202525400020.' mla: Winkler, Michael. “Effects of Degeneracies in Taxis-Driven Evolution.” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 02, World Scientific Pub Co Pte Ltd, 2025, pp. 283–343, doi:10.1142/s0218202525400020. short: M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 283–343. date_created: 2025-12-16T19:23:40Z date_updated: 2025-12-18T20:16:23Z doi: 10.1142/s0218202525400020 intvolume: ' 35' issue: '02' language: - iso: eng page: 283-343 publication: Mathematical Models and Methods in Applied Sciences publication_identifier: issn: - 0218-2025 - 1793-6314 publication_status: published publisher: World Scientific Pub Co Pte Ltd status: public title: Effects of degeneracies in taxis-driven evolution type: journal_article user_id: '31496' volume: 35 year: '2025' ... --- _id: '60746' author: - first_name: Darius full_name: Jakobeit, Darius last_name: Jakobeit - first_name: Mario full_name: Peña López, Mario id: '82862' last_name: Peña López orcid: 0000-0001-5381-3660 - first_name: Maximilian full_name: Schenke, Maximilian id: '52638' last_name: Schenke orcid: 0000-0001-5427-9527 - first_name: Barnabas full_name: Haucke-Korber, Barnabas id: '93461' last_name: Haucke-Korber orcid: 0000-0003-0862-2069 - first_name: Oliver full_name: Wallscheid, Oliver id: '11291' last_name: Wallscheid orcid: https://orcid.org/0000-0001-9362-8777 citation: ama: 'Jakobeit D, Peña López M, Schenke M, Haucke-Korber B, Wallscheid O. Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors. In: 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE; 2025. doi:10.1109/iemdc60492.2025.11061179' apa: Jakobeit, D., Peña López, M., Schenke, M., Haucke-Korber, B., & Wallscheid, O. (2025). Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors. 2025 IEEE International Electric Machines & Drives Conference (IEMDC). https://doi.org/10.1109/iemdc60492.2025.11061179 bibtex: '@inproceedings{Jakobeit_Peña López_Schenke_Haucke-Korber_Wallscheid_2025, title={Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors}, DOI={10.1109/iemdc60492.2025.11061179}, booktitle={2025 IEEE International Electric Machines & Drives Conference (IEMDC)}, publisher={IEEE}, author={Jakobeit, Darius and Peña López, Mario and Schenke, Maximilian and Haucke-Korber, Barnabas and Wallscheid, Oliver}, year={2025} }' chicago: Jakobeit, Darius, Mario Peña López, Maximilian Schenke, Barnabas Haucke-Korber, and Oliver Wallscheid. “Structural Optimization of Meta-Reinforcement Learning-Based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors.” In 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE, 2025. https://doi.org/10.1109/iemdc60492.2025.11061179. ieee: 'D. Jakobeit, M. Peña López, M. Schenke, B. Haucke-Korber, and O. Wallscheid, “Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors,” 2025, doi: 10.1109/iemdc60492.2025.11061179.' mla: Jakobeit, Darius, et al. “Structural Optimization of Meta-Reinforcement Learning-Based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors.” 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025, doi:10.1109/iemdc60492.2025.11061179. short: 'D. Jakobeit, M. Peña López, M. Schenke, B. Haucke-Korber, O. Wallscheid, in: 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025.' date_created: 2025-07-25T12:26:51Z date_updated: 2025-12-19T12:42:54Z department: - _id: '52' doi: 10.1109/iemdc60492.2025.11061179 language: - iso: eng publication: 2025 IEEE International Electric Machines & Drives Conference (IEMDC) publication_status: published publisher: IEEE status: public title: Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors type: conference user_id: '93461' year: '2025' ... --- _id: '60745' author: - first_name: Barnabas full_name: Haucke-Korber, Barnabas id: '93461' last_name: Haucke-Korber orcid: 0000-0003-0862-2069 - first_name: Nyi Nyi full_name: Aung, Nyi Nyi last_name: Aung - first_name: Maximilian full_name: Schenke, Maximilian id: '52638' last_name: Schenke orcid: 0000-0001-5427-9527 - first_name: Mario full_name: Peña López, Mario id: '82862' last_name: Peña López orcid: 0000-0001-5381-3660 - first_name: Darius full_name: Jakobeit, Darius last_name: Jakobeit - first_name: Oliver full_name: Wallscheid, Oliver id: '11291' last_name: Wallscheid orcid: https://orcid.org/0000-0001-9362-8777 citation: ama: 'Haucke-Korber B, Aung NN, Schenke M, Peña López M, Jakobeit D, Wallscheid O. Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept. In: 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE; 2025. doi:10.1109/iemdc60492.2025.11061093' apa: 'Haucke-Korber, B., Aung, N. N., Schenke, M., Peña López, M., Jakobeit, D., & Wallscheid, O. (2025). Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept. 2025 IEEE International Electric Machines & Drives Conference (IEMDC). https://doi.org/10.1109/iemdc60492.2025.11061093' bibtex: '@inproceedings{Haucke-Korber_Aung_Schenke_Peña López_Jakobeit_Wallscheid_2025, title={Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept}, DOI={10.1109/iemdc60492.2025.11061093}, booktitle={2025 IEEE International Electric Machines & Drives Conference (IEMDC)}, publisher={IEEE}, author={Haucke-Korber, Barnabas and Aung, Nyi Nyi and Schenke, Maximilian and Peña López, Mario and Jakobeit, Darius and Wallscheid, Oliver}, year={2025} }' chicago: 'Haucke-Korber, Barnabas, Nyi Nyi Aung, Maximilian Schenke, Mario Peña López, Darius Jakobeit, and Oliver Wallscheid. “Reinforcement Learning-Based Direct Torque Control of Externally Excited Synchronous Motors: A Proof of Concept.” In 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE, 2025. https://doi.org/10.1109/iemdc60492.2025.11061093.' ieee: 'B. Haucke-Korber, N. N. Aung, M. Schenke, M. Peña López, D. Jakobeit, and O. Wallscheid, “Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept,” 2025, doi: 10.1109/iemdc60492.2025.11061093.' mla: 'Haucke-Korber, Barnabas, et al. “Reinforcement Learning-Based Direct Torque Control of Externally Excited Synchronous Motors: A Proof of Concept.” 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025, doi:10.1109/iemdc60492.2025.11061093.' short: 'B. Haucke-Korber, N.N. Aung, M. Schenke, M. Peña López, D. Jakobeit, O. Wallscheid, in: 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025.' date_created: 2025-07-25T12:26:35Z date_updated: 2025-12-19T12:43:17Z department: - _id: '52' doi: 10.1109/iemdc60492.2025.11061093 language: - iso: eng publication: 2025 IEEE International Electric Machines & Drives Conference (IEMDC) publication_status: published publisher: IEEE status: public title: 'Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept' type: conference user_id: '93461' year: '2025' ... --- _id: '61759' abstract: - lang: eng text: 'Intersection distribution and non-hitting index are concepts introduced recently by Li and Pott as a new way to view the behaviour of a collection of finite field polynomials. With both an algebraic interpretation via the intersection of a polynomial with a set of lines, and a geometric interpretation via a (q+1)-set possessing an internal nucleus, the concepts have proved their usefulness as a new way to view various long-standing problems, and have applications in areas such as Kakeya sets. In this paper, by exploiting connections with diverse areas including the theory of algebraic curves, cyclotomy and the enumeration of irreducible polynomials, we establish new results and resolve various Open Problems of Li and Pott. We prove geometric results which shed new light on the relationship between intersection distribution and projective equivalence of polynomials, and algebraic results which describe and characterise the degree of Sf - the index of the largest non-zero entry in the intersection distribution of f. We provide new insights into the non-hitting spectrum, and show the limitations of the non-hitting index as a tool for characterisation. Finally, the benefits provided by the connections to other areas are evidenced in two short new proofs of the cubic case. ' author: - first_name: Lukas-André Dominik full_name: Klawuhn, Lukas-André Dominik id: '91965' last_name: Klawuhn orcid: 0009-0009-7736-4885 - first_name: Sophie full_name: Huczynska, Sophie last_name: Huczynska - first_name: Maura full_name: Paterson, Maura last_name: Paterson citation: ama: 'Klawuhn L-AD, Huczynska S, Paterson M. The Intersection Distribution: New Results and Perspectives. Published online 2025.' apa: 'Klawuhn, L.-A. D., Huczynska, S., & Paterson, M. (2025). The Intersection Distribution: New Results and Perspectives.' bibtex: '@article{Klawuhn_Huczynska_Paterson_2025, title={The Intersection Distribution: New Results and Perspectives}, author={Klawuhn, Lukas-André Dominik and Huczynska, Sophie and Paterson, Maura}, year={2025} }' chicago: 'Klawuhn, Lukas-André Dominik, Sophie Huczynska, and Maura Paterson. “The Intersection Distribution: New Results and Perspectives,” 2025.' ieee: 'L.-A. D. Klawuhn, S. Huczynska, and M. Paterson, “The Intersection Distribution: New Results and Perspectives.” 2025.' mla: 'Klawuhn, Lukas-André Dominik, et al. The Intersection Distribution: New Results and Perspectives. 2025.' short: L.-A.D. Klawuhn, S. Huczynska, M. Paterson, (2025). date_created: 2025-10-08T14:52:20Z date_updated: 2025-12-19T11:23:10Z department: - _id: '100' external_id: arxiv: - '2510.04675' language: - iso: eng page: '36' status: public title: 'The Intersection Distribution: New Results and Perspectives' type: preprint user_id: '91965' year: '2025' ... --- _id: '60744' author: - first_name: Mario full_name: Peña López, Mario id: '82862' last_name: Peña López orcid: 0000-0001-5381-3660 - first_name: Maximilian full_name: Schenke, Maximilian id: '52638' last_name: Schenke orcid: 0000-0001-5427-9527 - first_name: Darius full_name: Jakobeit, Darius last_name: Jakobeit - first_name: Barnabas full_name: Haucke-Korber, Barnabas id: '93461' last_name: Haucke-Korber orcid: 0000-0003-0862-2069 - first_name: Oliver full_name: Wallscheid, Oliver id: '11291' last_name: Wallscheid orcid: https://orcid.org/0000-0001-9362-8777 citation: ama: 'Peña López M, Schenke M, Jakobeit D, Haucke-Korber B, Wallscheid O. Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives. In: 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE; 2025. doi:10.1109/iemdc60492.2025.11061032' apa: Peña López, M., Schenke, M., Jakobeit, D., Haucke-Korber, B., & Wallscheid, O. (2025). Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives. 2025 IEEE International Electric Machines & Drives Conference (IEMDC). https://doi.org/10.1109/iemdc60492.2025.11061032 bibtex: '@inproceedings{Peña López_Schenke_Jakobeit_Haucke-Korber_Wallscheid_2025, title={Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives}, DOI={10.1109/iemdc60492.2025.11061032}, booktitle={2025 IEEE International Electric Machines & Drives Conference (IEMDC)}, publisher={IEEE}, author={Peña López, Mario and Schenke, Maximilian and Jakobeit, Darius and Haucke-Korber, Barnabas and Wallscheid, Oliver}, year={2025} }' chicago: Peña López, Mario, Maximilian Schenke, Darius Jakobeit, Barnabas Haucke-Korber, and Oliver Wallscheid. “Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives.” In 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE, 2025. https://doi.org/10.1109/iemdc60492.2025.11061032. ieee: 'M. Peña López, M. Schenke, D. Jakobeit, B. Haucke-Korber, and O. Wallscheid, “Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives,” 2025, doi: 10.1109/iemdc60492.2025.11061032.' mla: Peña López, Mario, et al. “Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives.” 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025, doi:10.1109/iemdc60492.2025.11061032. short: 'M. Peña López, M. Schenke, D. Jakobeit, B. Haucke-Korber, O. Wallscheid, in: 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025.' date_created: 2025-07-25T12:26:05Z date_updated: 2025-12-19T12:43:37Z department: - _id: '52' doi: 10.1109/iemdc60492.2025.11061032 language: - iso: eng publication: 2025 IEEE International Electric Machines & Drives Conference (IEMDC) publication_status: published publisher: IEEE status: public title: Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives type: conference user_id: '93461' year: '2025' ... --- _id: '63384' abstract: - lang: eng text: "Two fundamental ways to represent a group are as permutations and as matrices. In this paper, we study linear representations of groups that intertwine with a permutation representation. Recently, D'Alconzo and Di Scala investigated how small the matrices in such a linear representation can be. The minimal dimension of such a representation is the \\emph{linear dimension of the group action} and this has applications in cryptography and cryptosystems.\r\n\r\nWe develop the idea of linear dimension from an algebraic point of view by using the theory of permutation modules. We give structural results about representations of minimal dimension and investigate the implications of faithfulness, transitivity and primitivity on the linear dimension. Furthermore, we compute the linear dimension of several classes of finite primitive permutation groups. We also study wreath products, allowing us to determine the linear dimension of imprimitive group actions. Finally, we give the linear dimension of almost simple finite $2$-transitive groups, some of which may be used for further applications in cryptography. Our results also open up many new questions about linear representations of group actions." author: - first_name: Alice full_name: Devillers, Alice last_name: Devillers - first_name: Michael full_name: Giudici, Michael last_name: Giudici - first_name: Daniel R. full_name: Hawtin, Daniel R. last_name: Hawtin - first_name: Lukas-André Dominik full_name: Klawuhn, Lukas-André Dominik id: '91965' last_name: Klawuhn orcid: 0009-0009-7736-4885 - first_name: Luke full_name: Morgan, Luke last_name: Morgan citation: ama: Devillers A, Giudici M, Hawtin DR, Klawuhn L-AD, Morgan L. Linear dimension of group actions. Published online 2025. apa: Devillers, A., Giudici, M., Hawtin, D. R., Klawuhn, L.-A. D., & Morgan, L. (2025). Linear dimension of group actions. bibtex: '@article{Devillers_Giudici_Hawtin_Klawuhn_Morgan_2025, title={Linear dimension of group actions}, author={Devillers, Alice and Giudici, Michael and Hawtin, Daniel R. and Klawuhn, Lukas-André Dominik and Morgan, Luke}, year={2025} }' chicago: Devillers, Alice, Michael Giudici, Daniel R. Hawtin, Lukas-André Dominik Klawuhn, and Luke Morgan. “Linear Dimension of Group Actions,” 2025. ieee: A. Devillers, M. Giudici, D. R. Hawtin, L.-A. D. Klawuhn, and L. Morgan, “Linear dimension of group actions.” 2025. mla: Devillers, Alice, et al. Linear Dimension of Group Actions. 2025. short: A. Devillers, M. Giudici, D.R. Hawtin, L.-A.D. Klawuhn, L. Morgan, (2025). date_created: 2025-12-19T11:20:46Z date_updated: 2025-12-19T11:23:41Z department: - _id: '100' external_id: arxiv: - '2512.16079' language: - iso: eng status: public title: Linear dimension of group actions type: preprint user_id: '91965' year: '2025' ... --- _id: '62906' abstract: - lang: eng text: Ausgangspunkt des Beitrags sind die wiederkehrenden Zuschauerproteste gegen die Kommerzialisierung des Fußballs und die Frage nach einer Erklärung für deren Entstehung. Gezeigt wird, dass Zuschauerproteste bereits umfassend beforscht sind, bislang allerdings keine theoretische Einordung zu ihrer Entwicklung vorgelegt wurde. Entsprechend liegt das Ziel des Beitrags darin, unter Rückgriff auf systemtheoretische Überlegungen, insbesondere auch zur Funktion des Publikums für den Fußball, und typologische Unterscheidungen, angereichert durch kulturanthropologische Betrachtungen, theoretische Erklärungen für die Ursprünge und Bedeutung von Zuschauerprotesten zu liefern. Im Anschluss hieran wird betrachtet, wie sich Zuschauerproteste in theoretische Konzepte zu Protestbewegungen einordnen lassen, um abschließend deren Nutzen für die Fußballclubs und -verbände zu bestimmen. article_type: original author: - first_name: Lars full_name: Riedl, Lars id: '31513' last_name: Riedl - first_name: Heiko full_name: Meier, Heiko id: '21765' last_name: Meier citation: ama: 'Riedl L, Meier H. Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen. FuG – Zeitschrift für Fußball und Gesellschaft. 2025;5(2-2023):97-119. doi:10.3224/fug.v5i2.02' apa: 'Riedl, L., & Meier, H. (2025). Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen. FuG – Zeitschrift für Fußball und Gesellschaft, 5(2–2023), 97–119. https://doi.org/10.3224/fug.v5i2.02' bibtex: '@article{Riedl_Meier_2025, title={Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen}, volume={5}, DOI={10.3224/fug.v5i2.02}, number={2–2023}, journal={FuG – Zeitschrift für Fußball und Gesellschaft}, publisher={Verlag Barbara Budrich GmbH}, author={Riedl, Lars and Meier, Heiko}, year={2025}, pages={97–119} }' chicago: 'Riedl, Lars, and Heiko Meier. “Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen.” FuG – Zeitschrift für Fußball und Gesellschaft 5, no. 2–2023 (2025): 97–119. https://doi.org/10.3224/fug.v5i2.02.' ieee: 'L. Riedl and H. Meier, “Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen,” FuG – Zeitschrift für Fußball und Gesellschaft, vol. 5, no. 2–2023, pp. 97–119, 2025, doi: 10.3224/fug.v5i2.02.' mla: 'Riedl, Lars, and Heiko Meier. “Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen.” FuG – Zeitschrift für Fußball und Gesellschaft, vol. 5, no. 2–2023, Verlag Barbara Budrich GmbH, 2025, pp. 97–119, doi:10.3224/fug.v5i2.02.' short: L. Riedl, H. Meier, FuG – Zeitschrift für Fußball und Gesellschaft 5 (2025) 97–119. date_created: 2025-12-04T15:57:56Z date_updated: 2025-12-19T15:53:01Z department: - _id: '175' doi: 10.3224/fug.v5i2.02 intvolume: ' 5' issue: 2-2023 language: - iso: ger page: 97 - 119 publication: FuG – Zeitschrift für Fußball und Gesellschaft publication_identifier: issn: - 2568-0420 - 2568-0439 publication_status: published publisher: Verlag Barbara Budrich GmbH quality_controlled: '1' status: public title: 'Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen' type: journal_article user_id: '21765' volume: 5 year: '2025' ... --- _id: '63347' abstract: - lang: eng text: Friction-spinning is an incremental thermomechanical forming process that has huge potential due to its simple yet effective mechanism of utilising friction between a rotating workpiece and a forming tool to increase the workpiece’s temperature, which reduces the required forces and increases formability during the forming process. Despite the simplicity of the process’s setup, the thermomechanical loads and high relative velocities involved, especially in the contact zone, make the application of classical methods for characterising friction inaccurate. It is therefore essential to find a way to describe the frictional behaviour under real process conditions to be able to gain a holistic understanding of the process and the effect of the adjustable parameters on the outcome, especially the temperature. To achieve this goal, an experimental setup that considers the actual process boundary conditions in forming tubes made of EN AW-6060 was used to measure in situ normal and frictional forces, in addition to process temperatures, under varying rotational speed and feed rate values. article_number: '302' author: - first_name: Eugen full_name: Wiens, Eugen id: '7888' last_name: Wiens - first_name: Dina full_name: Hijazi, Dina last_name: Hijazi - first_name: Maik full_name: Jüttner, Maik last_name: Jüttner - first_name: Werner full_name: Homberg, Werner id: '233' last_name: Homberg - first_name: Mark Dennis full_name: Kensy, Mark Dennis last_name: Kensy - first_name: Wolfgang full_name: Tillmann, Wolfgang last_name: Tillmann citation: ama: Wiens E, Hijazi D, Jüttner M, Homberg W, Kensy MD, Tillmann W. In Situ Investigation of the Frictional Behaviour in Friction-Spinning. Journal of Manufacturing and Materials Processing. 2025;9(9). doi:10.3390/jmmp9090302 apa: Wiens, E., Hijazi, D., Jüttner, M., Homberg, W., Kensy, M. D., & Tillmann, W. (2025). In Situ Investigation of the Frictional Behaviour in Friction-Spinning. Journal of Manufacturing and Materials Processing, 9(9), Article 302. https://doi.org/10.3390/jmmp9090302 bibtex: '@article{Wiens_Hijazi_Jüttner_Homberg_Kensy_Tillmann_2025, title={In Situ Investigation of the Frictional Behaviour in Friction-Spinning}, volume={9}, DOI={10.3390/jmmp9090302}, number={9302}, journal={Journal of Manufacturing and Materials Processing}, publisher={MDPI AG}, author={Wiens, Eugen and Hijazi, Dina and Jüttner, Maik and Homberg, Werner and Kensy, Mark Dennis and Tillmann, Wolfgang}, year={2025} }' chicago: Wiens, Eugen, Dina Hijazi, Maik Jüttner, Werner Homberg, Mark Dennis Kensy, and Wolfgang Tillmann. “In Situ Investigation of the Frictional Behaviour in Friction-Spinning.” Journal of Manufacturing and Materials Processing 9, no. 9 (2025). https://doi.org/10.3390/jmmp9090302. ieee: 'E. Wiens, D. Hijazi, M. Jüttner, W. Homberg, M. D. Kensy, and W. Tillmann, “In Situ Investigation of the Frictional Behaviour in Friction-Spinning,” Journal of Manufacturing and Materials Processing, vol. 9, no. 9, Art. no. 302, 2025, doi: 10.3390/jmmp9090302.' mla: Wiens, Eugen, et al. “In Situ Investigation of the Frictional Behaviour in Friction-Spinning.” Journal of Manufacturing and Materials Processing, vol. 9, no. 9, 302, MDPI AG, 2025, doi:10.3390/jmmp9090302. short: E. Wiens, D. Hijazi, M. Jüttner, W. Homberg, M.D. Kensy, W. Tillmann, Journal of Manufacturing and Materials Processing 9 (2025). date_created: 2025-12-19T10:05:03Z date_updated: 2025-12-22T10:39:34Z department: - _id: '156' doi: 10.3390/jmmp9090302 intvolume: ' 9' issue: '9' language: - iso: eng publication: Journal of Manufacturing and Materials Processing publication_identifier: issn: - 2504-4494 publication_status: published publisher: MDPI AG quality_controlled: '1' status: public title: In Situ Investigation of the Frictional Behaviour in Friction-Spinning type: journal_article user_id: '7888' volume: 9 year: '2025' ... --- _id: '63394' abstract: - lang: eng text: We study the statistics of the number of real eigenvalues in the elliptic deformation of the real Ginibre ensemble. As the matrix dimension grows, the law of large numbers and the central limit theorem for the number of real eigenvalues are well understood, but the probabilities of rare events remain largely unexplored. Large deviation type results have been obtained only in extreme cases, when either a vanishingly small proportion of eigenvalues are real or almost all eigenvalues are real. Here, in both the strong and weak asymmetry regimes, we derive the probabilities of rare events in the moderate-to-large deviation regime, thereby providing a natural connection between the previously known regime of Gaussian fluctuations and the large deviation regime. Our results are new even for the classical real Ginibre ensemble. author: - first_name: Sung-Soo full_name: Byun, Sung-Soo last_name: Byun - first_name: Jonas full_name: Jalowy, Jonas id: '113768' last_name: Jalowy orcid: 0000-0001-9624-2685 - first_name: Yong-Woo full_name: Lee, Yong-Woo last_name: Lee - first_name: Grégory full_name: Schehr, Grégory last_name: Schehr citation: ama: Byun S-S, Jalowy J, Lee Y-W, Schehr G. Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices. arXiv:251109191. Published online 2025. apa: Byun, S.-S., Jalowy, J., Lee, Y.-W., & Schehr, G. (2025). Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices. In arXiv:2511.09191. bibtex: '@article{Byun_Jalowy_Lee_Schehr_2025, title={Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices}, journal={arXiv:2511.09191}, author={Byun, Sung-Soo and Jalowy, Jonas and Lee, Yong-Woo and Schehr, Grégory}, year={2025} }' chicago: Byun, Sung-Soo, Jonas Jalowy, Yong-Woo Lee, and Grégory Schehr. “Moderate-to-Large Deviation Asymptotics for Real Eigenvalues of the Elliptic Ginibre Matrices.” ArXiv:2511.09191, 2025. ieee: S.-S. Byun, J. Jalowy, Y.-W. Lee, and G. Schehr, “Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices,” arXiv:2511.09191. 2025. mla: Byun, Sung-Soo, et al. “Moderate-to-Large Deviation Asymptotics for Real Eigenvalues of the Elliptic Ginibre Matrices.” ArXiv:2511.09191, 2025. short: S.-S. Byun, J. Jalowy, Y.-W. Lee, G. Schehr, ArXiv:2511.09191 (2025). date_created: 2025-12-22T08:37:02Z date_updated: 2025-12-22T08:37:35Z department: - _id: '94' external_id: arxiv: - '2511.09191' language: - iso: eng publication: arXiv:2511.09191 status: public title: Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices type: preprint user_id: '113768' year: '2025' ... --- _id: '63393' abstract: - lang: eng text: 'We study the evolution of zeros of high polynomial powers under the heat flow. For any fixed polynomial $P(z)$, we prove that the empirical zero distribution of its heat-evolved $n$-th power converges to a distribution on the complex plane as $n$ tends to infinity. We describe this limit distribution $μ_t$ as a function of the time parameter $t$ of the heat evolution: For small time, zeros start to spread out in approximately semicircular distributions, then intricate curves start to form and merge, until for large time, the zero distribution approaches a widespread semicircle law through the initial center of mass. The Stieltjes transform of the limit distribution $μ_t$ satisfies a self-consistent equation and a Burgers'' equation. The present paper deals with general complex-rooted polynomials for which, in contrast to the real-rooted case, no free-probabilistic representation for $μ_t$ is available.' author: - first_name: Antonia full_name: Höfert, Antonia last_name: Höfert - first_name: Jonas full_name: Jalowy, Jonas id: '113768' last_name: Jalowy orcid: 0000-0001-9624-2685 - first_name: Zakhar full_name: Kabluchko, Zakhar last_name: Kabluchko citation: ama: Höfert A, Jalowy J, Kabluchko Z. Zeros of polynomial powers under the heat flow. arXiv:251217808. Published online 2025. apa: Höfert, A., Jalowy, J., & Kabluchko, Z. (2025). Zeros of polynomial powers under the heat flow. In arXiv:2512.17808. bibtex: '@article{Höfert_Jalowy_Kabluchko_2025, title={Zeros of polynomial powers under the heat flow}, journal={arXiv:2512.17808}, author={Höfert, Antonia and Jalowy, Jonas and Kabluchko, Zakhar}, year={2025} }' chicago: Höfert, Antonia, Jonas Jalowy, and Zakhar Kabluchko. “Zeros of Polynomial Powers under the Heat Flow.” ArXiv:2512.17808, 2025. ieee: A. Höfert, J. Jalowy, and Z. Kabluchko, “Zeros of polynomial powers under the heat flow,” arXiv:2512.17808. 2025. mla: Höfert, Antonia, et al. “Zeros of Polynomial Powers under the Heat Flow.” ArXiv:2512.17808, 2025. short: A. Höfert, J. Jalowy, Z. Kabluchko, ArXiv:2512.17808 (2025). date_created: 2025-12-22T08:36:24Z date_updated: 2025-12-22T08:36:46Z department: - _id: '94' external_id: arxiv: - '2512.17808' language: - iso: eng publication: arXiv:2512.17808 status: public title: Zeros of polynomial powers under the heat flow type: preprint user_id: '113768' year: '2025' ... --- _id: '63390' author: - first_name: Heike M. full_name: Buhl, Heike M. id: '27152' last_name: Buhl - first_name: Johanna full_name: Hilkenmeier, Johanna last_name: Hilkenmeier citation: ama: 'Buhl HM, Hilkenmeier J. Bildung und Lesesozialisation im Elternhaus. In: Kracke B, Noack P, eds. Handbuch Entwicklungs- Und Erziehungspsychologie. Springer; 2025. doi:10.1007/978-3-642-54061-5_10-2' apa: Buhl, H. M., & Hilkenmeier, J. (2025). Bildung und Lesesozialisation im Elternhaus. In B. Kracke & P. Noack (Eds.), Handbuch Entwicklungs- und Erziehungspsychologie. Springer. https://doi.org/10.1007/978-3-642-54061-5_10-2 bibtex: '@inbook{Buhl_Hilkenmeier_2025, place={Berlin, Heidelberg}, title={Bildung und Lesesozialisation im Elternhaus}, DOI={10.1007/978-3-642-54061-5_10-2}, booktitle={Handbuch Entwicklungs- und Erziehungspsychologie}, publisher={Springer}, author={Buhl, Heike M. and Hilkenmeier, Johanna}, editor={Kracke, Bärbel and Noack, Peter}, year={2025} }' chicago: 'Buhl, Heike M., and Johanna Hilkenmeier. “Bildung Und Lesesozialisation Im Elternhaus.” In Handbuch Entwicklungs- Und Erziehungspsychologie, edited by Bärbel Kracke and Peter Noack. Berlin, Heidelberg: Springer, 2025. https://doi.org/10.1007/978-3-642-54061-5_10-2.' ieee: 'H. M. Buhl and J. Hilkenmeier, “Bildung und Lesesozialisation im Elternhaus,” in Handbuch Entwicklungs- und Erziehungspsychologie, B. Kracke and P. Noack, Eds. Berlin, Heidelberg: Springer, 2025.' mla: Buhl, Heike M., and Johanna Hilkenmeier. “Bildung Und Lesesozialisation Im Elternhaus.” Handbuch Entwicklungs- Und Erziehungspsychologie, edited by Bärbel Kracke and Peter Noack, Springer, 2025, doi:10.1007/978-3-642-54061-5_10-2. short: 'H.M. Buhl, J. Hilkenmeier, in: B. Kracke, P. Noack (Eds.), Handbuch Entwicklungs- Und Erziehungspsychologie, Springer, Berlin, Heidelberg, 2025.' date_created: 2025-12-19T18:14:01Z date_updated: 2025-12-19T18:21:23Z department: - _id: '427' doi: 10.1007/978-3-642-54061-5_10-2 editor: - first_name: Bärbel full_name: Kracke, Bärbel last_name: Kracke - first_name: Peter full_name: Noack, Peter last_name: Noack language: - iso: eng main_file_link: - url: https://meteor.springer.com/springerlink/publication.jsf?isbn=978-3-642-54061-5&chapter=10&version=2&auth_user=301222&auth_key=1184043b477adcf95afb9534ef42c301 place: Berlin, Heidelberg publication: Handbuch Entwicklungs- und Erziehungspsychologie publisher: Springer status: public title: Bildung und Lesesozialisation im Elternhaus type: book_chapter user_id: '90826' year: '2025' ...