Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
46 Publications
2022 | Journal Article | LibreCat-ID: 35556
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.
Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022) 81–101.
LibreCat
Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022) 81–101.
2022 | Journal Article | LibreCat-ID: 35548
Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system
Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 54 (2022) 4806–4864.
LibreCat
Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 54 (2022) 4806–4864.
2022 | Journal Article | LibreCat-ID: 35532
Nonnegative solutions to a doubly degenerate nutrient taxis system
G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022) 687–784.
LibreCat
G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022) 687–784.
2021 | Journal Article | LibreCat-ID: 35616
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation.
M. Winkler, Nonlinear Analysis: Real World Applications 59 (2021).
LibreCat
M. Winkler, Nonlinear Analysis: Real World Applications 59 (2021).
2021 | Journal Article | LibreCat-ID: 35615
Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
LibreCat
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
2021 | Journal Article | LibreCat-ID: 35614
Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?
M. Winkler, International Mathematics Research Notices 2021 (2021) 8106–8152.
LibreCat
M. Winkler, International Mathematics Research Notices 2021 (2021) 8106–8152.
2021 | Journal Article | LibreCat-ID: 35617
Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.
M. Winkler, Applied Mathematics Letters 112 (2021) 106785.
LibreCat
M. Winkler, Applied Mathematics Letters 112 (2021) 106785.
2021 | Journal Article | LibreCat-ID: 35613
Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.
M. Winkler, Transactions of the American Mathematical Society 374 (2021) 219–268.
LibreCat
M. Winkler, Transactions of the American Mathematical Society 374 (2021) 219–268.
2021 | Journal Article | LibreCat-ID: 35603
A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.
Y. Tao, M. Winkler, Journal of Functional Analysis 281 (2021).
LibreCat
Y. Tao, M. Winkler, Journal of Functional Analysis 281 (2021).
2021 | Journal Article | LibreCat-ID: 35606
The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis.
Y. Tao, M. Winkler, Nonlinear Analysis, Theory, Methods and Applications 208 (2021).
LibreCat
Y. Tao, M. Winkler, Nonlinear Analysis, Theory, Methods and Applications 208 (2021).
2021 | Journal Article | LibreCat-ID: 35612
Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.
Y. Wang, M. Winkler, Z. Xiang, Science China Mathematics 64 (2021) 725–746.
LibreCat
Y. Wang, M. Winkler, Z. Xiang, Science China Mathematics 64 (2021) 725–746.
2021 | Journal Article | LibreCat-ID: 35601
Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities.
M. Ding, M. Winkler, Nonlinear Differential Equatiions and Applicatiions 28 (2021).
LibreCat
M. Ding, M. Winkler, Nonlinear Differential Equatiions and Applicatiions 28 (2021).
2021 | Journal Article | LibreCat-ID: 35605
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.
Y. Tao, M. Winkler, Communications in Mathematical Sciences 19 (2021) 829–849.
LibreCat
Y. Tao, M. Winkler, Communications in Mathematical Sciences 19 (2021) 829–849.
2021 | Journal Article | LibreCat-ID: 35604
Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection.
Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 53 (2021) 1411–1433.
LibreCat
Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 53 (2021) 1411–1433.
2021 | Journal Article | LibreCat-ID: 35610
Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.
Y. Wang, M. Winkler, Z. Xiang, Communications in Partial Differential Equations 46 (2021) 1058–1091.
LibreCat
Y. Wang, M. Winkler, Z. Xiang, Communications in Partial Differential Equations 46 (2021) 1058–1091.
2021 | Journal Article | LibreCat-ID: 35611
Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation
Y. Wang, M. Winkler, Z. Xiang, Advances in Nonlinear Analysis 10 (2021) 707–731.
LibreCat
Y. Wang, M. Winkler, Z. Xiang, Advances in Nonlinear Analysis 10 (2021) 707–731.
2021 | Journal Article | LibreCat-ID: 35608
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction
Y. Tao, M. Winkler, Discrete and Continuous Dynamical Systems 41 (2021) 439–454.
LibreCat
Y. Tao, M. Winkler, Discrete and Continuous Dynamical Systems 41 (2021) 439–454.
2020 | Journal Article | LibreCat-ID: 37373
Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system
M. Winkler, Nonlinearity 33 (2020) 5007–5048.
LibreCat
M. Winkler, Nonlinearity 33 (2020) 5007–5048.
2020 | Journal Article | LibreCat-ID: 37380
Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020).
LibreCat
M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020).
2020 | Journal Article | LibreCat-ID: 37367
Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?
M. Winkler, Nonlinearity 33 (2020) 6590–6623.
LibreCat
M. Winkler, Nonlinearity 33 (2020) 6590–6623.