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142 Publications
2022 | Journal Article | LibreCat-ID: 63298
Stevens A, Winkler M. Taxis-driven persistent localization in a degenerate Keller-Segel system. Communications in Partial Differential Equations. 2022;47(12):2341-2362. doi:10.1080/03605302.2022.2122836
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63266
Winkler M. Slow Grow-up in a Quasilinear Keller–Segel System. Journal of Dynamics and Differential Equations. 2022;36(2):1677-1702. doi:10.1007/s10884-022-10167-w
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63272
Tao Y, Winkler M. Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. Journal of Differential Equations. 2022;343:390-418. doi:10.1016/j.jde.2022.10.022
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63268
Desvillettes L, Laurençot P, Trescases A, Winkler M. Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Nonlinear Analysis. 2022;226. doi:10.1016/j.na.2022.113153
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63278
Winkler M. 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. 2022;2023(19):16336-16393. doi:10.1093/imrn/rnac286
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63279
Winkler M. Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction? Journal of the European Mathematical Society. 2022;25(4):1423-1456. doi:10.4171/jems/1226
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63274
Wang Y, Winkler M. Finite-time blow-up in a repulsive chemotaxis-consumption system. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2022;153(4):1150-1166. doi:10.1017/prm.2022.39
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63282
Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. Communications in Contemporary Mathematics. 2022;25(10). doi:10.1142/s0219199722500626
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 35615
Winkler M. Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift für Angewandte Mathematik und Physik. 2021;72.
LibreCat
2021 | Journal Article | LibreCat-ID: 35614
Winkler M. Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices. 2021;2021:8106-8152.
LibreCat
2021 | Journal Article | LibreCat-ID: 35617
Winkler M. Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters. 2021;112:106785.
LibreCat
2021 | Journal Article | LibreCat-ID: 35613
Winkler M. 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. 2021;374:219-268.
LibreCat
2021 | Journal Article | LibreCat-ID: 35603
Tao Y, Winkler M. A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. Journal of Functional Analysis. 2021;281.
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
Wang Y, Winkler M, Xiang Z. Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Science China Mathematics. 2021;64:725-746.
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
Tao Y, Winkler M. Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Communications in Mathematical Sciences. 2021;19:829-849.
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
Wang Y, Winkler M, Xiang Z. Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Communications in Partial Differential Equations. 2021;46:1058-1091.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Wang Y, Winkler M, Xiang Z. Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation. Advances in Nonlinear Analysis. 2021;10:707-731.
LibreCat
2021 | Journal Article | LibreCat-ID: 63313
Ding M, Winkler M. Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities. Nonlinear Differential Equations and Applications NoDEA. 2021;28(5). doi:10.1007/s00030-021-00709-4
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63308
Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments. Nonlinear Analysis: Real World Applications. 2021;63. doi:10.1016/j.nonrwa.2021.103407
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63307
Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations. 2021;309:74-97. doi:10.1016/j.jde.2021.11.026
LibreCat
| DOI