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69 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).
2024 | Misc | LibreCat-ID: 54837 | 
A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions
L. Claes, J. Lankeit, M. Winkler, A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions, Cornell University, 2024.
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| Download (ext.)
| arXiv
L. Claes, J. Lankeit, M. Winkler, A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions, Cornell University, 2024.
2024 | Journal Article | LibreCat-ID: 57820
L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation
V. Nikolić, M. Winkler, Nonlinear Analysis 247 (2024).
LibreCat
| DOI
V. Nikolić, M. Winkler, Nonlinear Analysis 247 (2024).
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: 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: 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.