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46 Publications
2021 | Journal Article | LibreCat-ID: 35614
Winkler, Michael. “Can Rotational Fluxes Impede the Tendency toward Spatial Homogeneity in Nutrient Taxis (-Stokes) Systems?” International Mathematics Research Notices 2021 (2021): 8106–52.
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2021 | Journal Article | LibreCat-ID: 35617
Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters 112 (2021): 106785.
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2021 | Journal Article | LibreCat-ID: 35613
Winkler, Michael. “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 374 (2021): 219–68.
LibreCat
2021 | Journal Article | LibreCat-ID: 35603
Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type Approximation.” Journal of Functional Analysis 281 (2021).
LibreCat
2021 | Journal Article | LibreCat-ID: 35606
Tao, Youshan, and Michael Winkler. “The Dampening Role of Large Repulsive Convection in a Chemotaxis System Modeling Tumor Angiogenesis.” Nonlinear Analysis, Theory, Methods and Applications 208 (2021).
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics 64 (2021): 725–46.
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2021 | Journal Article | LibreCat-ID: 35601
Ding, Mengyao, and Michael Winkler. “Small-Density Solutiions in Keller-Segel Systems Involving Rapidly Decaying Diffusivities.” Nonlinear Differential Equatiions and Applicatiions 28 (2021).
LibreCat
2021 | Journal Article | LibreCat-ID: 35605
Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Two-Dimensional Cross-Diffusion System Modeling Propagation of Urban Crime.” Communications in Mathematical Sciences 19 (2021): 829–49.
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2021 | Journal Article | LibreCat-ID: 35604
Tao, Youshan, and Michael Winkler. “Taxis-Driven Formation of Singular Hotspots in a May-Nowak Type Model for Virus Infection.” SIAM Journal on Mathematical Analysis 53 (2021): 1411–33.
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Local Energy Estimates and Global Solvability in a Threee-Dimensional Chemotaxis-Fluid System with Prescribed Signal on the Boundary.” Communications in Partial Differential Equations 46 (2021): 1058–91.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis 10 (2021): 707–31.
LibreCat
2021 | Journal Article | LibreCat-ID: 35608
Tao, Youshan, and Michael Winkler. “Critical Mass for Infinite-Time Blow-up in a Haptotaxis System with Nonlinear Zero-Order Interaction.” Discrete and Continuous Dynamical Systems 41, no. A (2021): 439–54.
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2020 | Journal Article | LibreCat-ID: 37373
Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” Nonlinearity 33 (2020): 5007–48.
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2020 | Journal Article | LibreCat-ID: 37380
Winkler, Michael. “Boundedness in a Two-Dimensional Keller-Segel-Navier-Stokes System Involving a Rapidly Diffusing Repulsive Signal.” Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020).
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
Winkler, Michael. “Can Simultaneous Density-Determined Enhacement of Diffusion and Cross-Diffusion Foster Boundedness in Keller-Segel Type Systems Involving Signal-Dependent Motilities?” Nonlinearity 33 (2020): 6590–6623.
LibreCat
2020 | Journal Article | LibreCat-ID: 37364
Winkler, Michael. “The Role of Superlinear Damping in the Construction of Solutions to Drift-Diffusion Problems with Initial Data in $L^1$.” Advances in Nonlinear Analysis 9 (2020): 526–66.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
Winkler, Michael. “Attractiveness of Constant States in Logistic-Type Keller-Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies 20 (2020): 795–817.
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2020 | Journal Article | LibreCat-ID: 37355
Winkler, Michael. “Small-Mass Solutions in the Two-Dimensional Keller-Segel System Coupled to the Navier-Stokes Equations.” SIAM Journal on Mathematical Analysis 52 (2020): 2041–80.
LibreCat
2020 | Journal Article | LibreCat-ID: 37377
Winkler, Michael. “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?” Acta Applicandae Mathematicae 169 (2020): 577–91.
LibreCat
2020 | Journal Article | LibreCat-ID: 37357
Winkler, Michael. “Blow-up Profiles and Liefe beyond Blow-up in the Fully Parabolic Keller-Segel System.” Journal d’Analyse Mathématique 141 (2020): 585–624.
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