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145 Publications
2023 | Journal Article | LibreCat-ID: 53338
Depleting the signal: Analysis of chemotaxis‐consumption models—A survey
J. Lankeit, M. Winkler, Studies in Applied Mathematics 151 (2023) 1197–1229.
LibreCat
| DOI
J. Lankeit, M. Winkler, Studies in Applied Mathematics 151 (2023) 1197–1229.
2023 | Journal Article | LibreCat-ID: 63243
Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\R^n$
F. Colasuonno, M. Winkler, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2023).
LibreCat
| DOI
F. Colasuonno, M. Winkler, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2023).
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: 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: 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.
2022 | Journal Article | LibreCat-ID: 63310
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
| DOI
M. Winkler, Advanced Nonlinear Studies 22 (2022) 88–117.
2022 | Journal Article | LibreCat-ID: 63305
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
| DOI
M. Winkler, Calculus of Variations and Partial Differential Equations 61 (2022).
2022 | Journal Article | LibreCat-ID: 63311
Oscillatory decay in a degenerate parabolic equation
M. Winkler, Partial Differential Equations and Applications 3 (2022).
LibreCat
| DOI
M. Winkler, Partial Differential Equations and Applications 3 (2022).
2022 | Journal Article | LibreCat-ID: 63312
Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities
M. Winkler, Discrete and Continuous Dynamical Systems - B 27 (2022).
LibreCat
| DOI
M. Winkler, Discrete and Continuous Dynamical Systems - B 27 (2022).
2022 | Journal Article | LibreCat-ID: 63309
A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients
M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862.
LibreCat
| DOI
M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862.
2022 | Journal Article | LibreCat-ID: 63306
A critical blow-up exponent for flux limiation in a Keller-Segel system
M. Winkler, Indiana University Mathematics Journal 71 (2022) 1437–1465.
LibreCat
| DOI
M. Winkler, Indiana University Mathematics Journal 71 (2022) 1437–1465.
2022 | Journal Article | LibreCat-ID: 63284
Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model
M. Winkler, Bulletin of Mathematical Sciences 13 (2022).
LibreCat
| DOI
M. Winkler, Bulletin of Mathematical Sciences 13 (2022).
2022 | Journal Article | LibreCat-ID: 63286
Exponential grow-up rates in a quasilinear Keller–Segel system
M. Winkler, Asymptotic Analysis 131 (2022) 33–57.
LibreCat
| DOI
M. Winkler, Asymptotic Analysis 131 (2022) 33–57.
2022 | Journal Article | LibreCat-ID: 63293
Global weak solutions to a chemotaxis-Navier-Stokes system in $ \mathbb{R}^3 $
K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022).
LibreCat
| DOI
K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022).