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46 Publications


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