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142 Publications
2022 | Journal Article | LibreCat-ID: 63298
Stevens, A., & Winkler, M. (2022). Taxis-driven persistent localization in a degenerate Keller-Segel system. Communications in Partial Differential Equations, 47(12), 2341–2362. https://doi.org/10.1080/03605302.2022.2122836
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63266
Winkler, M. (2022). Slow Grow-up in a Quasilinear Keller–Segel System. Journal of Dynamics and Differential Equations, 36(2), 1677–1702. https://doi.org/10.1007/s10884-022-10167-w
LibreCat
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2022 | Journal Article | LibreCat-ID: 63272
Tao, Y., & Winkler, M. (2022). Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. Journal of Differential Equations, 343, 390–418. https://doi.org/10.1016/j.jde.2022.10.022
LibreCat
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2022 | Journal Article | LibreCat-ID: 63268
Desvillettes, L., Laurençot, P., Trescases, A., & Winkler, M. (2022). Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. Nonlinear Analysis, 226, Article 113153. https://doi.org/10.1016/j.na.2022.113153
LibreCat
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2022 | Journal Article | LibreCat-ID: 63278
Winkler, M. (2022). 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, 2023(19), 16336–16393. https://doi.org/10.1093/imrn/rnac286
LibreCat
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2022 | Journal Article | LibreCat-ID: 63279
Winkler, M. (2022). Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction? Journal of the European Mathematical Society, 25(4), 1423–1456. https://doi.org/10.4171/jems/1226
LibreCat
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2022 | Journal Article | LibreCat-ID: 63274
Wang, Y., & Winkler, M. (2022). Finite-time blow-up in a repulsive chemotaxis-consumption system. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 153(4), 1150–1166. https://doi.org/10.1017/prm.2022.39
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 63282
Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. Communications in Contemporary Mathematics, 25(10), Article 2250062. https://doi.org/10.1142/s0219199722500626
LibreCat
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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: 63313
Ding, M., & Winkler, M. (2021). Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities. Nonlinear Differential Equations and Applications NoDEA, 28(5), Article 47. https://doi.org/10.1007/s00030-021-00709-4
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63308
Winkler, M. (2021). Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments. Nonlinear Analysis: Real World Applications, 63, Article 103407. https://doi.org/10.1016/j.nonrwa.2021.103407
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63307
Winkler, M. (2021). Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations, 309, 74–97. https://doi.org/10.1016/j.jde.2021.11.026
LibreCat
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