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47 Publications
2025 | Journal Article | LibreCat-ID: 56960
Absence of dead-core formations in chemotaxis systems with degenerate diffusion
T. Black, Applied Mathematics Letters 161 (2025).
LibreCat
| DOI
T. Black, Applied Mathematics Letters 161 (2025).
2025 | Journal Article | LibreCat-ID: 60205
Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system
T. Black, Journal of Differential Equations 443 (2025).
LibreCat
| DOI
T. Black, Journal of Differential Equations 443 (2025).
2025 | Journal Article | LibreCat-ID: 54837 | 
A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions
L. Claes, J. Lankeit, M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 2465–2512.
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| DOI
| Download (ext.)
| arXiv
L. Claes, J. Lankeit, M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 2465–2512.
2023 | Journal Article | LibreCat-ID: 43105
Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source
T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World Applications 73 (2023).
LibreCat
| DOI
T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World Applications 73 (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: 35479
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 & Methods in Applied Sciences 32 (2022) 713–792.
LibreCat
N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models & Methods in Applied Sciences 32 (2022) 713–792.
2022 | Journal Article | LibreCat-ID: 35530
Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.
J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).
LibreCat
J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).
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: 34677
Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation
T. Black, C. Wu, Calculus of Variations and Partial Differential Equations 61 (2022).
LibreCat
| DOI
T. Black, C. Wu, Calculus of Variations and Partial Differential Equations 61 (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.