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142 Publications
2025 | Journal Article | LibreCat-ID: 54837 | 
Claes, Leander, et al. “A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 11, World Scientific Pub Co Pte Ltd, 2025, pp. 2465–512, doi:10.1142/s0218202525500447.
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2025 | Journal Article | LibreCat-ID: 63250
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.
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2025 | Journal Article | LibreCat-ID: 63249
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.
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2025 | Journal Article | LibreCat-ID: 63246
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.
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2025 | Journal Article | LibreCat-ID: 63244
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.
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2025 | Journal Article | LibreCat-ID: 63247
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.
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2025 | Journal Article | LibreCat-ID: 63252
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.
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2025 | Journal Article | LibreCat-ID: 63344
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.
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2025 | Journal Article | LibreCat-ID: 63242
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.
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2025 | Journal Article | LibreCat-ID: 63164
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.
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2024 | Journal Article | LibreCat-ID: 63264
Winkler, Michael. “A Degenerate Migration-Consumption Model in Domains of Arbitrary Dimension.” Advanced Nonlinear Studies, vol. 24, no. 3, Walter de Gruyter GmbH, 2024, pp. 592–615, doi:10.1515/ans-2023-0131.
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2024 | Journal Article | LibreCat-ID: 63248
Winkler, Michael. “Externally Forced Blow-up and Optimal Spaces for Source Regularity in the Two-Dimensional Navier–Stokes System.” Mathematische Annalen, vol. 391, no. 2, Springer Science and Business Media LLC, 2024, pp. 3023–54, doi:10.1007/s00208-024-02987-6.
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2024 | Journal Article | LibreCat-ID: 63245
Winkler, Michael. “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, vol. 42, no. 6, European Mathematical Society - EMS - Publishing House GmbH, 2024, pp. 1601–30, doi:10.4171/aihpc/141.
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2024 | Journal Article | LibreCat-ID: 63257
Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for Volume-Filling Effects.” Journal of Evolution Equations, vol. 24, no. 2, 26, Springer Science and Business Media LLC, 2024, doi:10.1007/s00028-024-00954-x.
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2024 | Journal Article | LibreCat-ID: 63253
Ding, Mengyao, and Michael Winkler. “Radial Blow-up in Quasilinear Keller-Segel Systems: Approaching the Full Picture.” Nonlinearity, vol. 37, no. 12, 125006, IOP Publishing, 2024, doi:10.1088/1361-6544/ad871a.
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2024 | Journal Article | LibreCat-ID: 63254
Fuest, Mario, and Michael Winkler. “Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing.” Journal of Mathematical Fluid Mechanics, vol. 26, no. 4, 60, Springer Science and Business Media LLC, 2024, doi:10.1007/s00021-024-00899-8.
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2024 | Journal Article | LibreCat-ID: 63259
Wang, Yulan, and Michael Winkler. “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, vol. 109, no. 3, e12885, Wiley, 2024, doi:10.1112/jlms.12885.
LibreCat
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2024 | Journal Article | LibreCat-ID: 63258
Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Chemotaxis System Modeling Immune Response to a Solid Tumor.” Proceedings of the American Mathematical Society, vol. 152, no. 10, American Mathematical Society (AMS), 2024, pp. 4325–41, doi:10.1090/proc/16867.
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2024 | Journal Article | LibreCat-ID: 63256
Nikolić, Vanja, and Michael Winkler. “<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, vol. 247, 113600, Elsevier BV, 2024, doi:10.1016/j.na.2024.113600.
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2024 | Journal Article | LibreCat-ID: 63260
Wang, Yulan, and Michael Winkler. “A Singular Growth Phenomenon in a Keller–Segel–Type Parabolic System Involving Density‐suppressed Motilities.” Mathematische Nachrichten, vol. 297, no. 6, Wiley, 2024, pp. 2353–64, doi:10.1002/mana.202300361.
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