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69 Publications
2021 | Journal Article | LibreCat-ID: 34675
Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 4 (2021). https://doi.org/10.1007/s00033-021-01565-z.
LibreCat
| DOI
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.
LibreCat
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.
LibreCat
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.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models & Methods in Applied Sciences 30 (2020): 2105–37.
LibreCat
2020 | Journal Article | LibreCat-ID: 37342
Li, Genglin, Youshan Tao, and Michael Winkler. “Larg Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems --B 25 (2020): 4383–98.
LibreCat
2020 | Journal Article | LibreCat-ID: 37354
Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal of Differential Equations 268 (2020): 4973–97.
LibreCat
2020 | Journal Article | LibreCat-ID: 37351
Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for Blow-up Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” Nonlinear Analysis 198 (2020).
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
Stinner, Christian, and Michael Winkler. “Refined Regularity and Stabilization Properties in a Degenerate Haptotaxis System.” Discrete and Continuous Dynamical Systems --A 40 (2020): 4039–58.
LibreCat
2020 | Journal Article | LibreCat-ID: 37339
Steiner, Evi, and Michael Winkler. “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” Journal of Nonlinear Science 30 (2020): 1809–47.
LibreCat
2020 | Journal Article | LibreCat-ID: 34670
Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” Mathematical Models and Methods in Applied Sciences 30, no. 06 (2020): 1075–1117. https://doi.org/10.1142/s0218202520400072.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34672
Black, Tobias. “Global Generalized Solutions to a Parabolic-Elliptic Keller-Segel System with Singular Sensitivity.” Discrete & Continuous Dynamical Systems - S 13, no. 2 (2019): 119–37. https://doi.org/10.3934/dcdss.2020007.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34669
Black, Tobias. “The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System.” Journal of Mathematical Fluid Mechanics 22, no. 1 (2019). https://doi.org/10.1007/s00021-019-0464-z.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34668
Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” Mathematical Methods in the Applied Sciences 42, no. 9 (2019): 3002–20. https://doi.org/10.1002/mma.5561.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34671
Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Stabilization in the Keller–Segel System with Signal-Dependent Sensitivity.” Applicable Analysis 99, no. 16 (2019): 2877–91. https://doi.org/10.1080/00036811.2019.1585534.
LibreCat
| DOI