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142 Publications
2025 | Journal Article | LibreCat-ID: 54837 | 
Claes, L., Lankeit, J., & Winkler, M. (2025). A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical Models and Methods in Applied Sciences, 35(11), 2465–2512. https://doi.org/10.1142/s0218202525500447
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2025 | Journal Article | LibreCat-ID: 63250
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
LibreCat
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2025 | Journal Article | LibreCat-ID: 63249
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
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2025 | Journal Article | LibreCat-ID: 63246
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
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2025 | Journal Article | LibreCat-ID: 63244
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
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2025 | Journal Article | LibreCat-ID: 63247
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
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2025 | Journal Article | LibreCat-ID: 63252
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
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2025 | Journal Article | LibreCat-ID: 63344
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
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2025 | Journal Article | LibreCat-ID: 63242
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
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2025 | Journal Article | LibreCat-ID: 63164
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
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2024 | Journal Article | LibreCat-ID: 63264
Winkler, M. (2024). A degenerate migration-consumption model in domains of arbitrary dimension. Advanced Nonlinear Studies, 24(3), 592–615. https://doi.org/10.1515/ans-2023-0131
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2024 | Journal Article | LibreCat-ID: 63248
Winkler, M. (2024). Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system. Mathematische Annalen, 391(2), 3023–3054. https://doi.org/10.1007/s00208-024-02987-6
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2024 | Journal Article | LibreCat-ID: 63245
Winkler, M. (2024). Logarithmically refined Gagliardo–Nirenberg interpolation and application to blow-up exclusion in a singular chemotaxis–consumption system. Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire, 42(6), 1601–1630. https://doi.org/10.4171/aihpc/141
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2024 | Journal Article | LibreCat-ID: 63257
Stinner, C., & Winkler, M. (2024). A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. Journal of Evolution Equations, 24(2), Article 26. https://doi.org/10.1007/s00028-024-00954-x
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2024 | Journal Article | LibreCat-ID: 63253
Ding, M., & Winkler, M. (2024). Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture. Nonlinearity, 37(12), Article 125006. https://doi.org/10.1088/1361-6544/ad871a
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2024 | Journal Article | LibreCat-ID: 63254
Fuest, M., & Winkler, M. (2024). Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing. Journal of Mathematical Fluid Mechanics, 26(4), Article 60. https://doi.org/10.1007/s00021-024-00899-8
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2024 | Journal Article | LibreCat-ID: 63259
Wang, Y., & Winkler, M. (2024). An interpolation inequality involving LlogL$L\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system. Journal of the London Mathematical Society, 109(3), Article e12885. https://doi.org/10.1112/jlms.12885
LibreCat
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2024 | Journal Article | LibreCat-ID: 63258
Tao, Y., & Winkler, M. (2024). Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor. Proceedings of the American Mathematical Society, 152(10), 4325–4341. https://doi.org/10.1090/proc/16867
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2024 | Journal Article | LibreCat-ID: 63256
Nikolić, V., & Winkler, M. (2024). <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si15.svg" display="inline" id="d1e25"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math> blow-up in the Jordan–Moore–Gibson–Thompson equation. Nonlinear Analysis, 247, Article 113600. https://doi.org/10.1016/j.na.2024.113600
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2024 | Journal Article | LibreCat-ID: 63260
Wang, Y., & Winkler, M. (2024). A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities. Mathematische Nachrichten, 297(6), 2353–2364. https://doi.org/10.1002/mana.202300361
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