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71 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: 59258
Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters
M. Winkler, Applied Mathematics & Optimization 91 (2025).
LibreCat
| DOI
M. Winkler, Applied Mathematics & Optimization 91 (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).
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).