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46 Publications
2022 | Journal Article | LibreCat-ID: 35556
Tao, Y., & Winkler, M. (2022). Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152, 81–101.
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2022 | Journal Article | LibreCat-ID: 35548
Tao, Y., & Winkler, M. (2022). Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system. SIAM Journal on Mathematical Analysis, 54, 4806–4864.
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2022 | Journal Article | LibreCat-ID: 35532
Li, G., & Winkler, M. (2022). Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis, 21, 687–784.
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2021 | Journal Article | LibreCat-ID: 35616
Winkler, M. (2021). Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation. Nonlinear Analysis: Real World Applications, 59, Article 103257.
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2021 | Journal Article | LibreCat-ID: 35615
Winkler, M. (2021). Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. Zeitschrift Für Angewandte Mathematik Und Physik, 72, Article 72.
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2021 | Journal Article | LibreCat-ID: 35614
Winkler, M. (2021). Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? International Mathematics Research Notices, 2021, 8106–8152.
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2021 | Journal Article | LibreCat-ID: 35617
Winkler, M. (2021). Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Applied Mathematics Letters, 112, 106785.
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2021 | Journal Article | LibreCat-ID: 35613
Winkler, M. (2021). Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow. Transactions of the American Mathematical Society, 374, 219–268.
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2021 | Journal Article | LibreCat-ID: 35603
Tao, Y., & Winkler, M. (2021). A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. Journal of Functional Analysis, 281, Article 109069.
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2021 | Journal Article | LibreCat-ID: 35606
Tao, Y., & Winkler, M. (2021). The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Nonlinear Analysis, Theory, Methods and Applications, 208, Article 112324.
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
Wang, Y., Winkler, M., & Xiang, Z. (2021). Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. Science China Mathematics, 64, 725–746.
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2021 | Journal Article | LibreCat-ID: 35601
Ding, M., & Winkler, M. (2021). Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities. Nonlinear Differential Equatiions and Applicatiions, 28, Article 47.
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2021 | Journal Article | LibreCat-ID: 35605
Tao, Y., & Winkler, M. (2021). Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. Communications in Mathematical Sciences, 19, 829–849.
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2021 | Journal Article | LibreCat-ID: 35604
Tao, Y., & Winkler, M. (2021). Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection. SIAM Journal on Mathematical Analysis, 53, 1411–1433.
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2021 | Journal Article | LibreCat-ID: 35610
Wang, Y., Winkler, M., & Xiang, Z. (2021). Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary. Communications in Partial Differential Equations, 46, 1058–1091.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Wang, Y., Winkler, M., & Xiang, Z. (2021). Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation. Advances in Nonlinear Analysis, 10, 707–731.
LibreCat
2021 | Journal Article | LibreCat-ID: 35608
Tao, Y., & Winkler, M. (2021). Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Discrete and Continuous Dynamical Systems, 41(A), 439–454.
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2020 | Journal Article | LibreCat-ID: 37373
Winkler, M. (2020). Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity, 33, 5007–5048.
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2020 | Journal Article | LibreCat-ID: 37380
Winkler, M. (2020). Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift Für Angewandte Mathematik Und Physik, 71, Article 10.
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2020 | Journal Article | LibreCat-ID: 37367
Winkler, M. (2020). Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity, 33, 6590–6623.
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