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10 Publications


2025 | Journal Article | LibreCat-ID: 63164
M. Winkler, “Effects of degeneracies in taxis-driven evolution,” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 02, pp. 283–343, 2025, doi: 10.1142/s0218202525400020.
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2023 | Journal Article | LibreCat-ID: 53328
Y. Tao and M. Winkler, “Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers,” Mathematical Models and Methods in Applied Sciences, vol. 33, no. 01, pp. 103–138, 2023, doi: 10.1142/s0218202523500045.
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2023 | Journal Article | LibreCat-ID: 63271
Y. Tao and M. Winkler, “Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers,” Mathematical Models and Methods in Applied Sciences, vol. 33, no. 01, pp. 103–138, 2023, doi: 10.1142/s0218202523500045.
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2022 | Journal Article | LibreCat-ID: 45970
H. Garcke, B. Kovács, and D. Trautwein, “Viscoelastic Cahn–Hilliard models for tumor growth,” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 13, pp. 2673–2758, 2022, doi: 10.1142/s0218202522500634.
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2022 | Journal Article | LibreCat-ID: 63290
N. Bellomo, N. Outada, J. Soler, Y. Tao, and M. Winkler, “Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision,” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 04, pp. 713–792, 2022, doi: 10.1142/s0218202522500166.
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2021 | Journal Article | LibreCat-ID: 63291
T. Black and M. Winkler, “Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary,” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 01, pp. 137–173, 2021, doi: 10.1142/s021820252250004x.
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2020 | Journal Article | LibreCat-ID: 34670
T. Black, “Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties,” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 06, pp. 1075–1117, 2020, doi: 10.1142/s0218202520400072.
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2020 | Journal Article | LibreCat-ID: 63331
N. Rodríguez and M. Winkler, “Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation,” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 11, pp. 2105–2137, 2020, doi: 10.1142/s0218202520500396.
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2019 | Journal Article | LibreCat-ID: 63356
Y. Tao and M. Winkler, “Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food,” Mathematical Models and Methods in Applied Sciences, vol. 29, no. 11, pp. 2151–2182, 2019, doi: 10.1142/s021820251950043x.
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2019 | Journal Article | LibreCat-ID: 63363
M. Winkler, “Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions,” Mathematical Models and Methods in Applied Sciences, vol. 29, no. 03, pp. 373–418, 2019, doi: 10.1142/s021820251950012x.
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