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52 Publications
2026 | Journal Article | LibreCat-ID: 63435
Claes L, Winkler M. Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis. Nonlinear Analysis: Real World Applications. 2026;91:104580. doi:10.1016/j.nonrwa.2025.104580
LibreCat
| DOI
2026 | Journal Article | LibreCat-ID: 63621
Black T. Refining Hölder regularity theory in degenerate drift-diffusion equations. Annali di Matematica Pura ed Applicata (1923 -). Published online 2026. doi:10.1007/s10231-025-01642-4
LibreCat
| DOI
2026 | Journal Article | LibreCat-ID: 63672
Black T, Kohatsu S, Wu D. Global solvability and large-time behavior in a doubly degenerate migration model involving saturated signal consumption. Journal of Evolution Equations. 2026;26(1). doi:10.1007/s00028-025-01163-w
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 56960
Black T. Absence of dead-core formations in chemotaxis systems with degenerate diffusion. Applied Mathematics Letters. 2025;161. doi:10.1016/j.aml.2024.109361
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 60205
Black T. Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system. Journal of Differential Equations. 2025;443. doi:10.1016/j.jde.2025.113555
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| DOI
2025 | Journal Article | LibreCat-ID: 54837 | 
Claes L, Lankeit J, Winkler M. A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical Models and Methods in Applied Sciences. 2025;35(11):2465-2512. doi:10.1142/s0218202525500447
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| arXiv
2025 | Journal Article | LibreCat-ID: 59258
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
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| DOI
2024 | Journal Article | LibreCat-ID: 57820
Nikolić V, Winkler M. L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation. Nonlinear Analysis. 2024;247. doi:10.1016/j.na.2024.113600
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 43105
Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real World Applications. 2023;73. doi:10.1016/j.nonrwa.2023.103868
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35528
Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749.
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2022 | Journal Article | LibreCat-ID: 35568
Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics. 2022;389:439-489.
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2022 | Journal Article | LibreCat-ID: 35574
Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society. 2022;124:133-181.
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2022 | Journal Article | LibreCat-ID: 35483
Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222.
LibreCat
2022 | Journal Article | LibreCat-ID: 35479
Bellomo N, Outada N, Soler J, Tao Y, Winkler M. Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models & Methods in Applied Sciences. 2022;32:713-792.
LibreCat
2022 | Journal Article | LibreCat-ID: 35530
Lankeit J, Winkler M. Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects. Journal of Evolution Equations. 2022;22.
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2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann J, Lankeit J, Winkler M. A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées. 2022;162:124-151.
LibreCat
2022 | Journal Article | LibreCat-ID: 35565
Wang Y, Winkler M, Xiang Z. 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). 2022;38:985-1001.
LibreCat
2022 | Journal Article | LibreCat-ID: 35560
Wang Y, Winkler M, Xiang Z. Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications. 2022;20:141-170.
LibreCat
2022 | Journal Article | LibreCat-ID: 35556
Tao Y, Winkler M. Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2022;152:81-101.
LibreCat
2022 | Journal Article | LibreCat-ID: 35532
Li G, Winkler M. Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis. 2022;21:687-784.
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