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46 Publications
2022 | Journal Article | LibreCat-ID: 35577
Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.
M. Winkler, Calculus of Variations and Partial Differential Equations 61 (2022).
LibreCat
M. Winkler, Calculus of Variations and Partial Differential Equations 61 (2022).
2022 | Journal Article | LibreCat-ID: 35599
Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.
M. Winkler, Advanced Nonlinear Studies 22 (2022) 88–117.
LibreCat
M. Winkler, Advanced Nonlinear Studies 22 (2022) 88–117.
2022 | Journal Article | LibreCat-ID: 35597
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.
M. Winkler, Nonlinear Analysis: Real World Applications 63 (2022).
LibreCat
M. Winkler, Nonlinear Analysis: Real World Applications 63 (2022).
2022 | Journal Article | LibreCat-ID: 35598
A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients.
M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862.
LibreCat
M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862.
2022 | Journal Article | LibreCat-ID: 35600
Oscillatory decay in a degenerate parabolic equation.
M. Winkler, Partial Differential Equations and Applications 3 (2022).
LibreCat
M. Winkler, Partial Differential Equations and Applications 3 (2022).
2022 | Journal Article | LibreCat-ID: 35582
A critical blow-up exponent for flux limitation in a Keller-Segel system
M. Winkler, Indiana University Mathematics Journal 7 (2022) 1437–1465.
LibreCat
M. Winkler, Indiana University Mathematics Journal 7 (2022) 1437–1465.
2022 | Journal Article | LibreCat-ID: 35590
Unlimited growth in logarithmic Keller-Segel systems
M. Winkler, Journal of Differential Equations 309 (2022) 74–97.
LibreCat
M. Winkler, Journal of Differential Equations 309 (2022) 74–97.
2022 | Journal Article | LibreCat-ID: 35528
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary
J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749.
LibreCat
J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749.
2022 | Journal Article | LibreCat-ID: 35568
Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.
M. Winkler, Communications in Mathematical Physics 389 (2022) 439–489.
LibreCat
M. Winkler, Communications in Mathematical Physics 389 (2022) 439–489.
2022 | Journal Article | LibreCat-ID: 35574
A family of mass-critical Keller-Segel systems.
M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181.
LibreCat
M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181.
2022 | Journal Article | LibreCat-ID: 34676
Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary
T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 137–173.
LibreCat
| DOI
T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 137–173.
2022 | Journal Article | LibreCat-ID: 35483
Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.
K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022) 5201–5222.
LibreCat
K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022) 5201–5222.
2022 | Journal Article | LibreCat-ID: 35481
A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.
J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées 162 (2022) 124–151.
LibreCat
J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées 162 (2022) 124–151.
2022 | Journal Article | LibreCat-ID: 35565
A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.
Y. Wang, M. Winkler, Z. Xiang, Acta Mathematica Sinica (English Series) 38 (2022) 985–1001.
LibreCat
Y. Wang, M. Winkler, Z. Xiang, Acta Mathematica Sinica (English Series) 38 (2022) 985–1001.
2022 | Journal Article | LibreCat-ID: 35560
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.
Y. Wang, M. Winkler, Z. Xiang, Analysis and Applications 20 (2022) 141–170.
LibreCat
Y. Wang, M. Winkler, Z. Xiang, Analysis and Applications 20 (2022) 141–170.
2022 | Journal Article | LibreCat-ID: 35556
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.
Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022) 81–101.
LibreCat
Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022) 81–101.
2022 | Journal Article | LibreCat-ID: 35548
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
Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 54 (2022) 4806–4864.
2022 | Journal Article | LibreCat-ID: 35532
Nonnegative solutions to a doubly degenerate nutrient taxis system
G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022) 687–784.
LibreCat
G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022) 687–784.
2021 | Journal Article | LibreCat-ID: 35616
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation.
M. Winkler, Nonlinear Analysis: Real World Applications 59 (2021).
LibreCat
M. Winkler, Nonlinear Analysis: Real World Applications 59 (2021).
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).