Michael Winkler

michael.winkler@uni-paderborn.de
ID
31496

46 Publications

Mark all

[46]
2022 | Journal Article | LibreCat-ID: 35577
@article{Winkler_2022, title={Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.}, volume={61}, number={108}, journal={Calculus of Variations and Partial Differential Equations}, author={Winkler, Michael}, year={2022} }
LibreCat
 
[45]
2022 | Journal Article | LibreCat-ID: 35599
@article{Winkler_2022, title={Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.}, volume={22}, journal={Advanced Nonlinear Studies}, author={Winkler, Michael}, year={2022}, pages={88–117} }
LibreCat
 
[44]
2022 | Journal Article | LibreCat-ID: 35597
@article{Winkler_2022, title={Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.}, volume={63}, number={103407}, journal={Nonlinear Analysis: Real World Applications}, author={Winkler, Michael}, year={2022} }
LibreCat
 
[43]
2022 | Journal Article | LibreCat-ID: 35598
@article{Winkler_2022, title={A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients.}, volume={295}, journal={Mathematische Nachrichten}, author={Winkler, Michael}, year={2022}, pages={1840–1862} }
LibreCat
 
[42]
2022 | Journal Article | LibreCat-ID: 35600
@article{Winkler_2022, title={Oscillatory decay in a degenerate parabolic equation.}, volume={3}, number={47}, journal={Partial Differential Equations and Applications}, author={Winkler, Michael}, year={2022} }
LibreCat
 
[41]
2022 | Journal Article | LibreCat-ID: 35582
@article{Winkler_2022, title={A critical blow-up exponent for flux limitation in a Keller-Segel system}, volume={7}, journal={Indiana University Mathematics Journal}, author={Winkler, Michael}, year={2022}, pages={1437–1465} }
LibreCat
 
[40]
2022 | Journal Article | LibreCat-ID: 35590
@article{Winkler_2022, title={Unlimited growth in logarithmic Keller-Segel systems}, volume={309}, journal={Journal of Differential Equations}, author={Winkler, Michael}, year={2022}, pages={74–97} }
LibreCat
 
[39]
2022 | Journal Article | LibreCat-ID: 35528
@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary}, volume={35}, journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={719–749} }
LibreCat
 
[38]
2022 | Journal Article | LibreCat-ID: 35568
@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489} }
LibreCat
 
[37]
2022 | Journal Article | LibreCat-ID: 35574
@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.}, volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler, Michael}, year={2022}, pages={133–181} }
LibreCat
 
[36]
2022 | Journal Article | LibreCat-ID: 34676
@article{Black_Winkler_2022, title={Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary}, volume={32}, DOI={10.1142/s021820252250004x}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Black, Tobias and Winkler, Michael}, year={2022}, pages={137–173} }
LibreCat | DOI
 
[35]
2022 | Journal Article | LibreCat-ID: 35483
@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems}, author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222} }
LibreCat
 
[34]
2022 | Journal Article | LibreCat-ID: 35481
@article{Fuhrmann_Lankeit_Winkler_2022, title={A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.}, volume={162}, journal={Journal de Mathématiques Pures et Appliquées}, author={Fuhrmann, Jan and Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={124–151} }
LibreCat
 
[33]
2022 | Journal Article | LibreCat-ID: 35565
@article{Wang_Winkler_Xiang_2022, title={A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.}, volume={38}, journal={Acta Mathematica Sinica (English Series)}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={985–1001} }
LibreCat
 
[32]
2022 | Journal Article | LibreCat-ID: 35560
@article{Wang_Winkler_Xiang_2022, title={Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.}, volume={20}, journal={Analysis and Applications}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={141–170} }
LibreCat
 
[31]
2022 | Journal Article | LibreCat-ID: 35556
@article{Tao_Winkler_2022, title={Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.}, volume={152}, journal={Proceedings of the Royal Society of Edinburgh Section A: Mathematics}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={81–101} }
LibreCat
 
[30]
2022 | Journal Article | LibreCat-ID: 35548
@article{Tao_Winkler_2022, title={Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system}, volume={54}, journal={SIAM Journal on Mathematical Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={4806–4864} }
LibreCat
 
[29]
2022 | Journal Article | LibreCat-ID: 35532
@article{Li_Winkler_2022, title={Nonnegative solutions to a doubly degenerate nutrient taxis system }, volume={21}, journal={Communications on Pure and Applied Analysis}, author={Li, Genglin and Winkler, Michael}, year={2022}, pages={687–784} }
LibreCat
 
[28]
2021 | Journal Article | LibreCat-ID: 35616
@article{Winkler_2021, title={Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation.}, volume={59}, number={103257}, journal={Nonlinear Analysis: Real World Applications}, author={Winkler, Michael}, year={2021} }
LibreCat
 
[27]
2021 | Journal Article | LibreCat-ID: 35615
@article{Winkler_2021, title={Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.}, volume={72}, number={72}, journal={Zeitschrift für Angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2021} }
LibreCat
 
[26]
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
 
[25]
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
 
[24]
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
 
[23]
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
 
[22]
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
 
[21]
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
 
[20]
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
 
[19]
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
 
[18]
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
 
[17]
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
 
[16]
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
 
[15]
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
 
[14]
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
 
[13]
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
 
[12]
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
 
[11]
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
 
[10]
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
 
[9]
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
 
[8]
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
 
[7]
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} }
LibreCat
 
[6]
2020 | Journal Article | LibreCat-ID: 37347
@article{Rodriguez_Winkler_2020, title={Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.}, volume={30}, journal={Mathematical Models & Methods in Applied Sciences}, author={Rodriguez, Nancy and Winkler, Michael}, year={2020}, pages={2105–2137} }
LibreCat
 
[5]
2020 | Journal Article | LibreCat-ID: 37342
@article{Li_Tao_Winkler_2020, title={Larg time behavior in a predator-prey system with indirect pursuit-evasion interaction.}, volume={25}, journal={Discrete and Continuous Dynamical Systems --B}, author={Li, Genglin and Tao, Youshan and Winkler, Michael}, year={2020}, pages={4383–4398} }
LibreCat
 
[4]
2020 | Journal Article | LibreCat-ID: 37354
@article{Tao_Winkler_2020, title={Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy.}, volume={268}, journal={Journal of Differential Equations}, author={Tao, Youshan and Winkler, Michael}, year={2020}, pages={4973–4997} }
LibreCat
 
[3]
2020 | Journal Article | LibreCat-ID: 37351
@article{Tao_Winkler_2020, title={A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy.}, volume={198}, number={111870}, journal={Nonlinear Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2020} }
LibreCat
 
[2]
2020 | Journal Article | LibreCat-ID: 37349
@article{Stinner_Winkler_2020, title={Refined regularity and stabilization properties in a degenerate haptotaxis system}, volume={40}, journal={Discrete and Continuous Dynamical Systems --A}, author={Stinner, Christian and Winkler, Michael}, year={2020}, pages={4039–4058} }
LibreCat
 
[1]
2020 | Journal Article | LibreCat-ID: 37339
@article{Steiner_Winkler_2020, title={Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow}, volume={30}, journal={Journal of Nonlinear Science}, author={Steiner, Evi and Winkler, Michael}, year={2020}, pages={1809–1847} }
LibreCat
 
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46 Publications

Mark all

[46]
2022 | Journal Article | LibreCat-ID: 35577
@article{Winkler_2022, title={Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.}, volume={61}, number={108}, journal={Calculus of Variations and Partial Differential Equations}, author={Winkler, Michael}, year={2022} }
LibreCat
 
[45]
2022 | Journal Article | LibreCat-ID: 35599
@article{Winkler_2022, title={Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings.}, volume={22}, journal={Advanced Nonlinear Studies}, author={Winkler, Michael}, year={2022}, pages={88–117} }
LibreCat
 
[44]
2022 | Journal Article | LibreCat-ID: 35597
@article{Winkler_2022, title={Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.}, volume={63}, number={103407}, journal={Nonlinear Analysis: Real World Applications}, author={Winkler, Michael}, year={2022} }
LibreCat
 
[43]
2022 | Journal Article | LibreCat-ID: 35598
@article{Winkler_2022, title={A unifying approach toward boundedness in Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients.}, volume={295}, journal={Mathematische Nachrichten}, author={Winkler, Michael}, year={2022}, pages={1840–1862} }
LibreCat
 
[42]
2022 | Journal Article | LibreCat-ID: 35600
@article{Winkler_2022, title={Oscillatory decay in a degenerate parabolic equation.}, volume={3}, number={47}, journal={Partial Differential Equations and Applications}, author={Winkler, Michael}, year={2022} }
LibreCat
 
[41]
2022 | Journal Article | LibreCat-ID: 35582
@article{Winkler_2022, title={A critical blow-up exponent for flux limitation in a Keller-Segel system}, volume={7}, journal={Indiana University Mathematics Journal}, author={Winkler, Michael}, year={2022}, pages={1437–1465} }
LibreCat
 
[40]
2022 | Journal Article | LibreCat-ID: 35590
@article{Winkler_2022, title={Unlimited growth in logarithmic Keller-Segel systems}, volume={309}, journal={Journal of Differential Equations}, author={Winkler, Michael}, year={2022}, pages={74–97} }
LibreCat
 
[39]
2022 | Journal Article | LibreCat-ID: 35528
@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary}, volume={35}, journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={719–749} }
LibreCat
 
[38]
2022 | Journal Article | LibreCat-ID: 35568
@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489} }
LibreCat
 
[37]
2022 | Journal Article | LibreCat-ID: 35574
@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.}, volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler, Michael}, year={2022}, pages={133–181} }
LibreCat
 
[36]
2022 | Journal Article | LibreCat-ID: 34676
@article{Black_Winkler_2022, title={Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary}, volume={32}, DOI={10.1142/s021820252250004x}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Black, Tobias and Winkler, Michael}, year={2022}, pages={137–173} }
LibreCat | DOI
 
[35]
2022 | Journal Article | LibreCat-ID: 35483
@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems}, author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222} }
LibreCat
 
[34]
2022 | Journal Article | LibreCat-ID: 35481
@article{Fuhrmann_Lankeit_Winkler_2022, title={A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.}, volume={162}, journal={Journal de Mathématiques Pures et Appliquées}, author={Fuhrmann, Jan and Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={124–151} }
LibreCat
 
[33]
2022 | Journal Article | LibreCat-ID: 35565
@article{Wang_Winkler_Xiang_2022, title={A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.}, volume={38}, journal={Acta Mathematica Sinica (English Series)}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={985–1001} }
LibreCat
 
[32]
2022 | Journal Article | LibreCat-ID: 35560
@article{Wang_Winkler_Xiang_2022, title={Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.}, volume={20}, journal={Analysis and Applications}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={141–170} }
LibreCat
 
[31]
2022 | Journal Article | LibreCat-ID: 35556
@article{Tao_Winkler_2022, title={Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.}, volume={152}, journal={Proceedings of the Royal Society of Edinburgh Section A: Mathematics}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={81–101} }
LibreCat
 
[30]
2022 | Journal Article | LibreCat-ID: 35548
@article{Tao_Winkler_2022, title={Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system}, volume={54}, journal={SIAM Journal on Mathematical Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={4806–4864} }
LibreCat
 
[29]
2022 | Journal Article | LibreCat-ID: 35532
@article{Li_Winkler_2022, title={Nonnegative solutions to a doubly degenerate nutrient taxis system }, volume={21}, journal={Communications on Pure and Applied Analysis}, author={Li, Genglin and Winkler, Michael}, year={2022}, pages={687–784} }
LibreCat
 
[28]
2021 | Journal Article | LibreCat-ID: 35616
@article{Winkler_2021, title={Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation.}, volume={59}, number={103257}, journal={Nonlinear Analysis: Real World Applications}, author={Winkler, Michael}, year={2021} }
LibreCat
 
[27]
2021 | Journal Article | LibreCat-ID: 35615
@article{Winkler_2021, title={Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.}, volume={72}, number={72}, journal={Zeitschrift für Angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2021} }
LibreCat
 
[26]
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
 
[25]
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
 
[24]
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
 
[23]
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
 
[22]
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
 
[21]
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
 
[20]
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
 
[19]
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
 
[18]
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
 
[17]
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
 
[16]
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
 
[15]
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
 
[14]
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
 
[13]
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
 
[12]
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
 
[11]
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
 
[10]
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
 
[9]
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
 
[8]
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
 
[7]
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} }
LibreCat
 
[6]
2020 | Journal Article | LibreCat-ID: 37347
@article{Rodriguez_Winkler_2020, title={Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation.}, volume={30}, journal={Mathematical Models & Methods in Applied Sciences}, author={Rodriguez, Nancy and Winkler, Michael}, year={2020}, pages={2105–2137} }
LibreCat
 
[5]
2020 | Journal Article | LibreCat-ID: 37342
@article{Li_Tao_Winkler_2020, title={Larg time behavior in a predator-prey system with indirect pursuit-evasion interaction.}, volume={25}, journal={Discrete and Continuous Dynamical Systems --B}, author={Li, Genglin and Tao, Youshan and Winkler, Michael}, year={2020}, pages={4383–4398} }
LibreCat
 
[4]
2020 | Journal Article | LibreCat-ID: 37354
@article{Tao_Winkler_2020, title={Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy.}, volume={268}, journal={Journal of Differential Equations}, author={Tao, Youshan and Winkler, Michael}, year={2020}, pages={4973–4997} }
LibreCat
 
[3]
2020 | Journal Article | LibreCat-ID: 37351
@article{Tao_Winkler_2020, title={A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy.}, volume={198}, number={111870}, journal={Nonlinear Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2020} }
LibreCat
 
[2]
2020 | Journal Article | LibreCat-ID: 37349
@article{Stinner_Winkler_2020, title={Refined regularity and stabilization properties in a degenerate haptotaxis system}, volume={40}, journal={Discrete and Continuous Dynamical Systems --A}, author={Stinner, Christian and Winkler, Michael}, year={2020}, pages={4039–4058} }
LibreCat
 
[1]
2020 | Journal Article | LibreCat-ID: 37339
@article{Steiner_Winkler_2020, title={Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow}, volume={30}, journal={Journal of Nonlinear Science}, author={Steiner, Evi and Winkler, Michael}, year={2020}, pages={1809–1847} }
LibreCat
 
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