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11 Publications
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.
2025 | Journal Article | LibreCat-ID: 63164
Effects of degeneracies in taxis-driven evolution
M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 283–343.
LibreCat
| DOI
M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 283–343.
2023 | Journal Article | LibreCat-ID: 53328
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: 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.
2022 | Journal Article | LibreCat-ID: 45970
Viscoelastic Cahn–Hilliard models for tumor growth
H. Garcke, B. Kovács, D. Trautwein, Mathematical Models and Methods in Applied Sciences 32 (2022) 2673–2758.
LibreCat
| DOI
H. Garcke, B. Kovács, D. Trautwein, Mathematical Models and Methods in Applied Sciences 32 (2022) 2673–2758.
2022 | Journal Article | LibreCat-ID: 63290
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 and Methods in Applied Sciences 32 (2022) 713–792.
LibreCat
| DOI
N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2022) 713–792.
2021 | Journal Article | LibreCat-ID: 63291
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 (2021) 137–173.
LibreCat
| DOI
T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences 32 (2021) 137–173.
2020 | Journal Article | LibreCat-ID: 34670
Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties
T. Black, Mathematical Models and Methods in Applied Sciences 30 (2020) 1075–1117.
LibreCat
| DOI
T. Black, Mathematical Models and Methods in Applied Sciences 30 (2020) 1075–1117.
2020 | Journal Article | LibreCat-ID: 63331
Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation
N. Rodríguez, M. Winkler, Mathematical Models and Methods in Applied Sciences 30 (2020) 2105–2137.
LibreCat
| DOI
N. Rodríguez, M. Winkler, Mathematical Models and Methods in Applied Sciences 30 (2020) 2105–2137.
2019 | Journal Article | LibreCat-ID: 63356
Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 29 (2019) 2151–2182.
LibreCat
| DOI
Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 29 (2019) 2151–2182.
2019 | Journal Article | LibreCat-ID: 63363
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions
M. Winkler, Mathematical Models and Methods in Applied Sciences 29 (2019) 373–418.
LibreCat
| DOI
M. Winkler, Mathematical Models and Methods in Applied Sciences 29 (2019) 373–418.