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52 Publications
2022 | Journal Article | LibreCat-ID: 34677
T. Black and C. Wu, “Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation,” Calculus of Variations and Partial Differential Equations, vol. 61, no. 3, Art. no. 96, 2022, doi: 10.1007/s00526-022-02201-y.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 35615
M. Winkler, “Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.,” Zeitschrift für Angewandte Mathematik und Physik, vol. 72, Art. no. 72, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35614
M. Winkler, “Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?,” International Mathematics Research Notices, vol. 2021, pp. 8106–8152, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35617
M. Winkler, “Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.,” Applied Mathematics Letters, vol. 112, p. 106785, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35613
M. Winkler, “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, vol. 374, pp. 219–268, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35603
Y. Tao and M. Winkler, “A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.,” Journal of Functional Analysis, vol. 281, Art. no. 109069, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
Y. Wang, M. Winkler, and Z. Xiang, “Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.,” Science China Mathematics, vol. 64, pp. 725–746, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
Y. Tao and M. Winkler, “Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.,” Communications in Mathematical Sciences, vol. 19, pp. 829–849, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
Y. Wang, M. Winkler, and Z. Xiang, “Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.,” Communications in Partial Differential Equations, vol. 46, pp. 1058–1091, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Y. Wang, M. Winkler, and Z. Xiang, “Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation,” Advances in Nonlinear Analysis, vol. 10, pp. 707–731, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 34673
T. Black, M. Fuest, and J. Lankeit, “Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 3, Art. no. 96, 2021, doi: 10.1007/s00033-021-01524-8.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34675
T. Black and C. Wu, “Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 4, Art. no. 135, 2021, doi: 10.1007/s00033-021-01565-z.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 37373
M. Winkler, “Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system,” Nonlinearity, vol. 33, pp. 5007–5048, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
M. Winkler, “Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.,” Zeitschrift für angewandte Mathematik und Physik, vol. 71, Art. no. 10, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
M. Winkler, “Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?,” Nonlinearity, vol. 33, pp. 6590–6623, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
M. Winkler, “Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.,” Advanced Nonlinear Studies, vol. 20, pp. 795–817, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
N. Rodriguez and M. Winkler, “Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.,” Mathematical Models & Methods in Applied Sciences, vol. 30, pp. 2105–2137, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
C. Stinner and M. Winkler, “Refined regularity and stabilization properties in a degenerate haptotaxis system,” Discrete and Continuous Dynamical Systems --A, vol. 40, pp. 4039–4058, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 34670
T. Black, “Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties,” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 06, pp. 1075–1117, 2020, doi: 10.1142/s0218202520400072.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34672
T. Black, “Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity,” Discrete & Continuous Dynamical Systems - S, vol. 13, no. 2, pp. 119–137, 2019, doi: 10.3934/dcdss.2020007.
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| DOI