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142 Publications
2024 | Journal Article | LibreCat-ID: 63262
Complete infinite-time mass aggregation in a quasilinear Keller–Segel system
M. Winkler, Israel Journal of Mathematics 263 (2024) 93–127.
LibreCat
| DOI
M. Winkler, Israel Journal of Mathematics 263 (2024) 93–127.
2024 | Journal Article | LibreCat-ID: 63263
L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux
M. Winkler, Journal of Differential Equations 400 (2024) 423–456.
LibreCat
| DOI
M. Winkler, Journal of Differential Equations 400 (2024) 423–456.
2023 | Journal Article | LibreCat-ID: 63285
Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing
M. Winkler, Advances in Differential Equations 28 (2023).
LibreCat
| DOI
M. Winkler, Advances in Differential Equations 28 (2023).
2023 | Journal Article | LibreCat-ID: 63288
Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type
M. Winkler, Open Mathematics 21 (2023).
LibreCat
| DOI
M. Winkler, Open Mathematics 21 (2023).
2023 | Journal Article | LibreCat-ID: 63287
Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity
M. Winkler, Journal of Elliptic and Parabolic Equations 9 (2023) 919–959.
LibreCat
| DOI
M. Winkler, Journal of Elliptic and Parabolic Equations 9 (2023) 919–959.
2023 | Journal Article | LibreCat-ID: 63289
Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems
M. Winkler, T. Yokota, Journal of Differential Equations 374 (2023) 1–28.
LibreCat
| DOI
M. Winkler, T. Yokota, Journal of Differential Equations 374 (2023) 1–28.
2023 | Journal Article | LibreCat-ID: 63271
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers
Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33 (2023) 103–138.
LibreCat
| DOI
Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33 (2023) 103–138.
2023 | Journal Article | LibreCat-ID: 63267
A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system
J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations 62 (2023).
LibreCat
| DOI
J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations 62 (2023).
2023 | Journal Article | LibreCat-ID: 63270
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities
G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322.
LibreCat
| DOI
G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322.
2023 | Journal Article | LibreCat-ID: 63273
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force
Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).
LibreCat
| DOI
Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).
2023 | Journal Article | LibreCat-ID: 63281
Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction
M. Winkler, Nonlinearity 36 (2023) 4438–4469.
LibreCat
| DOI
M. Winkler, Nonlinearity 36 (2023) 4438–4469.
2023 | Journal Article | LibreCat-ID: 63276
Keller–Segel–Stokes interaction involving signal‐dependent motilities
Y. Tian, M. Winkler, Mathematical Methods in the Applied Sciences 46 (2023) 15667–15683.
LibreCat
| DOI
Y. Tian, M. Winkler, Mathematical Methods in the Applied Sciences 46 (2023) 15667–15683.
2023 | Journal Article | LibreCat-ID: 63275
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities
Y. Tao, M. Winkler, Evolution Equations and Control Theory 12 (2023) 1676–1687.
LibreCat
| DOI
Y. Tao, M. Winkler, Evolution Equations and Control Theory 12 (2023) 1676–1687.
2023 | Journal Article | LibreCat-ID: 63277
Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities
K.J. Painter, M. Winkler, SIAM Journal on Applied Mathematics 83 (2023) 2096–2117.
LibreCat
| DOI
K.J. Painter, M. Winkler, SIAM Journal on Applied Mathematics 83 (2023) 2096–2117.
2023 | Journal Article | LibreCat-ID: 63283
Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 74 (2023).
LibreCat
| DOI
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 74 (2023).
2023 | Journal Article | LibreCat-ID: 63255
Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities
G. Li, M. Winkler, Applicable Analysis 103 (2023) 45–64.
LibreCat
| DOI
G. Li, M. Winkler, Applicable Analysis 103 (2023) 45–64.
2023 | Journal Article | LibreCat-ID: 63261
A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion
M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 41 (2023) 95–127.
LibreCat
| DOI
M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 41 (2023) 95–127.
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.