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142 Publications
2022 | Journal Article | LibreCat-ID: 63298
A. Stevens and M. Winkler, “Taxis-driven persistent localization in a degenerate Keller-Segel system,” Communications in Partial Differential Equations, vol. 47, no. 12, pp. 2341–2362, 2022, doi: 10.1080/03605302.2022.2122836.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63266
M. Winkler, “Slow Grow-up in a Quasilinear Keller–Segel System,” Journal of Dynamics and Differential Equations, vol. 36, no. 2, pp. 1677–1702, 2022, doi: 10.1007/s10884-022-10167-w.
LibreCat
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2022 | Journal Article | LibreCat-ID: 63272
Y. Tao and M. Winkler, “Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension,” Journal of Differential Equations, vol. 343, pp. 390–418, 2022, doi: 10.1016/j.jde.2022.10.022.
LibreCat
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2022 | Journal Article | LibreCat-ID: 63268
L. Desvillettes, P. Laurençot, A. Trescases, and M. Winkler, “Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing,” Nonlinear Analysis, vol. 226, Art. no. 113153, 2022, doi: 10.1016/j.na.2022.113153.
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2022 | Journal Article | LibreCat-ID: 63278
M. Winkler, “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System,” International Mathematics Research Notices, vol. 2023, no. 19, pp. 16336–16393, 2022, doi: 10.1093/imrn/rnac286.
LibreCat
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2022 | Journal Article | LibreCat-ID: 63279
M. Winkler, “Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?,” Journal of the European Mathematical Society, vol. 25, no. 4, pp. 1423–1456, 2022, doi: 10.4171/jems/1226.
LibreCat
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2022 | Journal Article | LibreCat-ID: 63274
Y. Wang and M. Winkler, “Finite-time blow-up in a repulsive chemotaxis-consumption system,” Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 153, no. 4, pp. 1150–1166, 2022, doi: 10.1017/prm.2022.39.
LibreCat
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2022 | Journal Article | LibreCat-ID: 63282
M. Winkler, “Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems,” Communications in Contemporary Mathematics, vol. 25, no. 10, Art. no. 2250062, 2022, doi: 10.1142/s0219199722500626.
LibreCat
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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: 63313
M. Ding and M. Winkler, “Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities,” Nonlinear Differential Equations and Applications NoDEA, vol. 28, no. 5, Art. no. 47, 2021, doi: 10.1007/s00030-021-00709-4.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63308
M. Winkler, “Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments,” Nonlinear Analysis: Real World Applications, vol. 63, Art. no. 103407, 2021, doi: 10.1016/j.nonrwa.2021.103407.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63307
M. Winkler, “Unlimited growth in logarithmic Keller-Segel systems,” Journal of Differential Equations, vol. 309, pp. 74–97, 2021, doi: 10.1016/j.jde.2021.11.026.
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