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70 Publications
2022 | Journal Article | LibreCat-ID: 35565
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “A Smallness Condition Ensuring Boundedness in a Two-Dimensional Chemotaxis-Navier-Stokes System Involving Dirichlet Boundary Conditions for the Signal.” Acta Mathematica Sinica (English Series) 38 (2022): 985–1001.
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2022 | Journal Article | LibreCat-ID: 35560
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications 20 (2022): 141–70.
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2022 | Journal Article | LibreCat-ID: 35556
Tao, Youshan, and Michael Winkler. “Asymptotic Stability of Spatial Homogeneity in a Haptotaxis Model for Oncolytic Virotherapy.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022): 81–101.
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2022 | Journal Article | LibreCat-ID: 35548
Tao, Youshan, and Michael Winkler. “Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System.” SIAM Journal on Mathematical Analysis 54 (2022): 4806–64.
LibreCat
2022 | Journal Article | LibreCat-ID: 35532
Li, Genglin, and Michael Winkler. “Nonnegative Solutions to a Doubly Degenerate Nutrient Taxis System .” Communications on Pure and Applied Analysis 21 (2022): 687–784.
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2022 | Journal Article | LibreCat-ID: 34677
Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations 61, no. 3 (2022). https://doi.org/10.1007/s00526-022-02201-y.
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| DOI
2021 | Journal Article | LibreCat-ID: 35616
Winkler, Michael. “Global Weak Solutions in a Three-Dimensional Keller-Segel-Navier-Stokes System with Gradient-Dependent Flux Limitation.” Nonlinear Analysis: Real World Applications 59 (2021).
LibreCat
2021 | Journal Article | LibreCat-ID: 35615
Winkler, Michael. “Suppressing Blow-up by Gradient-Dependent Flux Limitation in a Planar Keller-Segel-Navier-Stokes System.” Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
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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.
LibreCat
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).
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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.
LibreCat
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.
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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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