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52 Publications
2022 | Journal Article | LibreCat-ID: 34677
Black, T., & Wu, C. (2022). Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. Calculus of Variations and Partial Differential Equations, 61(3), Article 96. https://doi.org/10.1007/s00526-022-02201-y
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 35615
Winkler, M. (2021). Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift Für Angewandte Mathematik Und Physik, 72, Article 72.
LibreCat
2021 | Journal Article | LibreCat-ID: 35614
Winkler, M. (2021). Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices, 2021, 8106–8152.
LibreCat
2021 | Journal Article | LibreCat-ID: 35617
Winkler, M. (2021). Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters, 112, 106785.
LibreCat
2021 | Journal Article | LibreCat-ID: 35613
Winkler, M. (2021). Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow. Transactions of the American Mathematical Society, 374, 219–268.
LibreCat
2021 | Journal Article | LibreCat-ID: 35603
Tao, Y., & Winkler, M. (2021). A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. Journal of Functional Analysis, 281, Article 109069.
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
Wang, Y., Winkler, M., & Xiang, Z. (2021). Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Science China Mathematics, 64, 725–746.
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
Tao, Y., & Winkler, M. (2021). Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Communications in Mathematical Sciences, 19, 829–849.
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
Wang, Y., Winkler, M., & Xiang, Z. (2021). Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Communications in Partial Differential Equations, 46, 1058–1091.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Wang, Y., Winkler, M., & Xiang, Z. (2021). Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation. Advances in Nonlinear Analysis, 10, 707–731.
LibreCat
2021 | Journal Article | LibreCat-ID: 34673
Black, T., Fuest, M., & Lankeit, J. (2021). Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems. Zeitschrift Für Angewandte Mathematik Und Physik, 72(3), Article 96. https://doi.org/10.1007/s00033-021-01524-8
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34675
Black, T., & Wu, C. (2021). Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. Zeitschrift Für Angewandte Mathematik Und Physik, 72(4), Article 135. https://doi.org/10.1007/s00033-021-01565-z
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 37373
Winkler, M. (2020). Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity, 33, 5007–5048.
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
Winkler, M. (2020). Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift Für Angewandte Mathematik Und Physik, 71, Article 10.
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
Winkler, M. (2020). Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity, 33, 6590–6623.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
Winkler, M. (2020). Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Advanced Nonlinear Studies, 20, 795–817.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez, N., & Winkler, M. (2020). Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models & Methods in Applied Sciences, 30, 2105–2137.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
Stinner, C., & Winkler, M. (2020). Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A, 40, 4039–4058.
LibreCat
2020 | Journal Article | LibreCat-ID: 34670
Black, T. (2020). Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. Mathematical Models and Methods in Applied Sciences, 30(06), 1075–1117. https://doi.org/10.1142/s0218202520400072
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34672
Black, T. (2019). Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. Discrete & Continuous Dynamical Systems - S, 13(2), 119–137. https://doi.org/10.3934/dcdss.2020007
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| DOI