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145 Publications
2022 | Journal Article | LibreCat-ID: 63290
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 713–792.
LibreCat
| DOI
N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 713–792.
2022 | Journal Article | LibreCat-ID: 63295
Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects
J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).
LibreCat
| DOI
J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).
2022 | Journal Article | LibreCat-ID: 63299
Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System
Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 54 (2022) 4806–4864.
LibreCat
| DOI
Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 54 (2022) 4806–4864.
2022 | Journal Article | LibreCat-ID: 63298
Taxis-driven persistent localization in a degenerate Keller-Segel system
A. Stevens, M. Winkler, Communications in Partial Differential Equations 47 (2022) 2341–2362.
LibreCat
| DOI
A. Stevens, M. Winkler, Communications in Partial Differential Equations 47 (2022) 2341–2362.
2022 | Journal Article | LibreCat-ID: 63266
Slow Grow-up in a Quasilinear Keller–Segel System
M. Winkler, Journal of Dynamics and Differential Equations 36 (2022) 1677–1702.
LibreCat
| DOI
M. Winkler, Journal of Dynamics and Differential Equations 36 (2022) 1677–1702.
2022 | Journal Article | LibreCat-ID: 63272
Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension
Y. Tao, M. Winkler, Journal of Differential Equations 343 (2022) 390–418.
LibreCat
| DOI
Y. Tao, M. Winkler, Journal of Differential Equations 343 (2022) 390–418.
2022 | Journal Article | LibreCat-ID: 63268
Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing
L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis 226 (2022).
LibreCat
| DOI
L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis 226 (2022).
2022 | Journal Article | LibreCat-ID: 63278
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
M. Winkler, International Mathematics Research Notices 2023 (2022) 16336–16393.
LibreCat
| DOI
M. Winkler, International Mathematics Research Notices 2023 (2022) 16336–16393.
2022 | Journal Article | LibreCat-ID: 63279
Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?
M. Winkler, Journal of the European Mathematical Society 25 (2022) 1423–1456.
LibreCat
| DOI
M. Winkler, Journal of the European Mathematical Society 25 (2022) 1423–1456.
2022 | Journal Article | LibreCat-ID: 63274
Finite-time blow-up in a repulsive chemotaxis-consumption system
Y. Wang, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153 (2022) 1150–1166.
LibreCat
| DOI
Y. Wang, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153 (2022) 1150–1166.
2022 | Journal Article | LibreCat-ID: 63282
Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems
M. Winkler, Communications in Contemporary Mathematics 25 (2022).
LibreCat
| DOI
M. Winkler, Communications in Contemporary Mathematics 25 (2022).
2021 | Journal Article | LibreCat-ID: 35615
Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
LibreCat
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
2021 | Journal Article | LibreCat-ID: 35614
Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?
M. Winkler, International Mathematics Research Notices 2021 (2021) 8106–8152.
LibreCat
M. Winkler, International Mathematics Research Notices 2021 (2021) 8106–8152.
2021 | Journal Article | LibreCat-ID: 35617
Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.
M. Winkler, Applied Mathematics Letters 112 (2021) 106785.
LibreCat
M. Winkler, Applied Mathematics Letters 112 (2021) 106785.
2021 | Journal Article | LibreCat-ID: 35613
Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.
M. Winkler, Transactions of the American Mathematical Society 374 (2021) 219–268.
LibreCat
M. Winkler, Transactions of the American Mathematical Society 374 (2021) 219–268.
2021 | Journal Article | LibreCat-ID: 35603
A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.
Y. Tao, M. Winkler, Journal of Functional Analysis 281 (2021).
LibreCat
Y. Tao, M. Winkler, Journal of Functional Analysis 281 (2021).
2021 | Journal Article | LibreCat-ID: 35612
Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.
Y. Wang, M. Winkler, Z. Xiang, Science China Mathematics 64 (2021) 725–746.
LibreCat
Y. Wang, M. Winkler, Z. Xiang, Science China Mathematics 64 (2021) 725–746.
2021 | Journal Article | LibreCat-ID: 35605
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.
Y. Tao, M. Winkler, Communications in Mathematical Sciences 19 (2021) 829–849.
LibreCat
Y. Tao, M. Winkler, Communications in Mathematical Sciences 19 (2021) 829–849.
2021 | Journal Article | LibreCat-ID: 35610
Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.
Y. Wang, M. Winkler, Z. Xiang, Communications in Partial Differential Equations 46 (2021) 1058–1091.
LibreCat
Y. Wang, M. Winkler, Z. Xiang, Communications in Partial Differential Equations 46 (2021) 1058–1091.
2021 | Journal Article | LibreCat-ID: 35611
Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation
Y. Wang, M. Winkler, Z. Xiang, Advances in Nonlinear Analysis 10 (2021) 707–731.
LibreCat
Y. Wang, M. Winkler, Z. Xiang, Advances in Nonlinear Analysis 10 (2021) 707–731.