Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
46 Publications
2022 | Journal Article | LibreCat-ID: 35577
Winkler, Michael. “Stabilization of Arbitrary Structures in a Doubly Degenerate Reaction-Diffusion System Modeling Bacterial Motion on a Nutrient-Poor Agar.” Calculus of Variations and Partial Differential Equations 61 (2022).
LibreCat
2022 | Journal Article | LibreCat-ID: 35599
Winkler, Michael. “Chemotaxis-Stokes Interaction with Very Weak Diffusion Enhancement: Blow-up Exclusion via Detection of Absorption-Induced Entropy Structures Involving Multiplicative Couplings.” Advanced Nonlinear Studies 22 (2022): 88–117.
LibreCat
2022 | Journal Article | LibreCat-ID: 35597
Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate Taxis System Modeling Bacterial Motion in a Nutrient-Poor Environments.” Nonlinear Analysis: Real World Applications 63 (2022).
LibreCat
2022 | Journal Article | LibreCat-ID: 35598
Winkler, Michael. “A Unifying Approach toward Boundedness in Keller-Segel Type Cross-Diffusion Systems via Conditional $L^\infty$ Estimates for Taxis Gradients.” Mathematische Nachrichten 295 (2022): 1840–62.
LibreCat
2022 | Journal Article | LibreCat-ID: 35600
Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial Differential Equations and Applications 3 (2022).
LibreCat
2022 | Journal Article | LibreCat-ID: 35582
Winkler, Michael. “A Critical Blow-up Exponent for Flux Limitation in a Keller-Segel System.” Indiana University Mathematics Journal 7 (2022): 1437–65.
LibreCat
2022 | Journal Article | LibreCat-ID: 35590
Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations 309 (2022): 74–97.
LibreCat
2022 | Journal Article | LibreCat-ID: 35528
Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity 35 (2022): 719–49.
LibreCat
2022 | Journal Article | LibreCat-ID: 35568
Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics 389 (2022): 439–89.
LibreCat
2022 | Journal Article | LibreCat-ID: 35574
Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society 124 (2022): 133–81.
LibreCat
2022 | Journal Article | LibreCat-ID: 34676
Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing Sets in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration on the Boundary.” Mathematical Models and Methods in Applied Sciences 32, no. 01 (2022): 137–73. https://doi.org/10.1142/s021820252250004x.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 35483
Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems 42 (2022): 5201–22.
LibreCat
2022 | Journal Article | LibreCat-ID: 35481
Fuhrmann, Jan, Johannes Lankeit, and Michael Winkler. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées 162 (2022): 124–51.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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.
LibreCat
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).
LibreCat