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46 Publications
2021 | Journal Article | LibreCat-ID: 35614
@article{Winkler_2021, title={Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?}, volume={2021}, journal={International Mathematics Research Notices}, author={Winkler, Michael}, year={2021}, pages={8106–8152} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35617
@article{Winkler_2021, title={Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.}, volume={112}, journal={Applied Mathematics Letters}, author={Winkler, Michael}, year={2021}, pages={106785} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35613
@article{Winkler_2021, title={Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.}, volume={374}, journal={Transactions of the American Mathematical Society}, author={Winkler, Michael}, year={2021}, pages={219–268} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35603
@article{Tao_Winkler_2021, title={A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.}, volume={281}, number={109069}, journal={Journal of Functional Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2021} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35606
@article{Tao_Winkler_2021, title={The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis.}, volume={208}, number={112324}, journal={Nonlinear Analysis, Theory, Methods and Applications}, author={Tao, Youshan and Winkler, Michael}, year={2021} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
@article{Wang_Winkler_Xiang_2021, title={Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.}, volume={64}, journal={Science China Mathematics}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={725–746} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35601
@article{Ding_Winkler_2021, title={Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities.}, volume={28}, number={47}, journal={Nonlinear Differential Equatiions and Applicatiions}, author={Ding, Mengyao and Winkler, Michael}, year={2021} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
@article{Tao_Winkler_2021, title={Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.}, volume={19}, journal={Communications in Mathematical Sciences}, author={Tao, Youshan and Winkler, Michael}, year={2021}, pages={829–849} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35604
@article{Tao_Winkler_2021, title={Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection.}, volume={53}, journal={SIAM Journal on Mathematical Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2021}, pages={1411–1433} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
@article{Wang_Winkler_Xiang_2021, title={Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.}, volume={46}, journal={Communications in Partial Differential Equations}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={1058–1091} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
@article{Wang_Winkler_Xiang_2021, title={Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation}, volume={10}, journal={Advances in Nonlinear Analysis}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={707–731} }
LibreCat
2021 | Journal Article | LibreCat-ID: 35608
@article{Tao_Winkler_2021, title={Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction}, volume={41}, number={A}, journal={Discrete and Continuous Dynamical Systems}, author={Tao, Youshan and Winkler, Michael}, year={2021}, pages={439–454} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37373
@article{Winkler_2020, title={Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system}, volume={33}, journal={Nonlinearity}, author={Winkler, Michael}, year={2020}, pages={5007–5048} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
@article{Winkler_2020, title={Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.}, volume={71}, number={10}, journal={Zeitschrift für angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2020} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
@article{Winkler_2020, title={Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?}, volume={33}, journal={Nonlinearity}, author={Winkler, Michael}, year={2020}, pages={6590–6623} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37364
@article{Winkler_2020, title={The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in $L^1$.}, volume={9}, journal={Advances in Nonlinear Analysis}, author={Winkler, Michael}, year={2020}, pages={526–566} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
@article{Winkler_2020, title={Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.}, volume={20}, journal={Advanced Nonlinear Studies}, author={Winkler, Michael}, year={2020}, pages={795–817} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37355
@article{Winkler_2020, title={Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations.}, volume={52}, journal={SIAM Journal on Mathematical Analysis}, author={Winkler, Michael}, year={2020}, pages={2041–2080} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37377
@article{Winkler_2020, title={Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?}, volume={169}, journal={Acta Applicandae Mathematicae}, author={Winkler, Michael}, year={2020}, pages={577–591} }
LibreCat
2020 | Journal Article | LibreCat-ID: 37357
@article{Winkler_2020, title={Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system.}, volume={141}, journal={Journal d’Analyse Mathématique}, author={Winkler, Michael}, year={2020}, pages={585–624} }
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