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52 Publications
2026 | Journal Article | LibreCat-ID: 63435
Claes, Leander, and Michael Winkler. “Describing Smooth Small-Data Solutions to a Quasilinear Hyperbolic-Parabolic System by W 1,P Energy Analysis.” Nonlinear Analysis: Real World Applications, vol. 91, Elsevier BV, 2026, p. 104580, doi:10.1016/j.nonrwa.2025.104580.
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| DOI
2026 | Journal Article | LibreCat-ID: 63621
Black, Tobias. “Refining Hölder Regularity Theory in Degenerate Drift-Diffusion Equations.” Annali Di Matematica Pura Ed Applicata (1923 -), Springer Science and Business Media LLC, 2026, doi:10.1007/s10231-025-01642-4.
LibreCat
| DOI
2026 | Journal Article | LibreCat-ID: 63672
Black, Tobias, et al. “Global Solvability and Large-Time Behavior in a Doubly Degenerate Migration Model Involving Saturated Signal Consumption.” Journal of Evolution Equations, vol. 26, no. 1, 24, Springer Science and Business Media LLC, 2026, doi:10.1007/s00028-025-01163-w.
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 56960
Black, Tobias. “Absence of Dead-Core Formations in Chemotaxis Systems with Degenerate Diffusion.” Applied Mathematics Letters, vol. 161, 109361, Elsevier BV, 2025, doi:10.1016/j.aml.2024.109361.
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| DOI
2025 | Journal Article | LibreCat-ID: 60205
Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity: Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes System.” Journal of Differential Equations, vol. 443, 113555, Elsevier BV, 2025, doi:10.1016/j.jde.2025.113555.
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| DOI
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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| DOI
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| arXiv
2025 | Journal Article | LibreCat-ID: 59258
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.
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 57820
Nikolić, Vanja, and Michael Winkler. “L∞ 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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| DOI
2023 | Journal Article | LibreCat-ID: 43105
Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications, vol. 73, 103868, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2023.103868.
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| DOI
2022 | Journal Article | LibreCat-ID: 35528
Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity, vol. 35, 2022, pp. 719–49.
LibreCat
2022 | Journal Article | LibreCat-ID: 35568
Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics, vol. 389, 2022, pp. 439–89.
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2022 | Journal Article | LibreCat-ID: 35574
Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society, vol. 124, 2022, pp. 133–81.
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2022 | Journal Article | LibreCat-ID: 35483
Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022, pp. 5201–22.
LibreCat
2022 | Journal Article | LibreCat-ID: 35479
Bellomo, Nicolas, et al. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models & Methods in Applied Sciences, vol. 32, 2022, pp. 713–92.
LibreCat
2022 | Journal Article | LibreCat-ID: 35530
Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva Effects.” Journal of Evolution Equations, vol. 22, 14, 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, Jan, et al. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées, vol. 162, 2022, pp. 124–51.
LibreCat
2022 | Journal Article | LibreCat-ID: 35565
Wang, Yulan, et al. “A Smallness Condition Ensuring Boundedness in a Two-Dimensional Chemotaxis-Navier-Stokes System Involving Dirichlet Boundary Conditions for the Signal.” Acta Mathematica Sinica (English Series), vol. 38, 2022, pp. 985–1001.
LibreCat
2022 | Journal Article | LibreCat-ID: 35560
Wang, Yulan, et al. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications, vol. 20, 2022, pp. 141–70.
LibreCat
2022 | Journal Article | LibreCat-ID: 35556
Tao, Youshan, and Michael Winkler. “Asymptotic Stability of Spatial Homogeneity in a Haptotaxis Model for Oncolytic Virotherapy.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 152, 2022, pp. 81–101.
LibreCat
2022 | Journal Article | LibreCat-ID: 35532
Li, Genglin, and Michael Winkler. “Nonnegative Solutions to a Doubly Degenerate Nutrient Taxis System .” Communications on Pure and Applied Analysis, vol. 21, 2022, pp. 687–784.
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