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46 Publications
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.
2020 | Journal Article | LibreCat-ID: 37364
The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in $L^1$.
M. Winkler, Advances in Nonlinear Analysis 9 (2020) 526–566.
LibreCat
M. Winkler, Advances in Nonlinear Analysis 9 (2020) 526–566.
2020 | Journal Article | LibreCat-ID: 37375
Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.
M. Winkler, Advanced Nonlinear Studies 20 (2020) 795–817.
LibreCat
M. Winkler, Advanced Nonlinear Studies 20 (2020) 795–817.
2020 | Journal Article | LibreCat-ID: 37355
Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations.
M. Winkler, SIAM Journal on Mathematical Analysis 52 (2020) 2041–2080.
LibreCat
M. Winkler, SIAM Journal on Mathematical Analysis 52 (2020) 2041–2080.
2020 | Journal Article | LibreCat-ID: 37377
Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?
M. Winkler, Acta Applicandae Mathematicae 169 (2020) 577–591.
LibreCat
M. Winkler, Acta Applicandae Mathematicae 169 (2020) 577–591.
2020 | Journal Article | LibreCat-ID: 37357
Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system.
M. Winkler, Journal d’Analyse Mathématique 141 (2020) 585–624.
LibreCat
M. Winkler, Journal d’Analyse Mathématique 141 (2020) 585–624.