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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, vol. 72, no. 4, 135, Springer Science and Business Media LLC, 2021, doi: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, vol. 33, 2020, pp. 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, vol. 71, 10, 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, vol. 33, 2020, pp. 6590–623.
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, vol. 9, 2020, pp. 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, vol. 20, 2020, pp. 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, vol. 52, 2020, pp. 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, vol. 169, 2020, pp. 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, vol. 141, 2020, pp. 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, vol. 30, 2020, pp. 2105–37.
LibreCat
2020 | Journal Article | LibreCat-ID: 37342
Li, Genglin, et al. “Larg Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems --B, vol. 25, 2020, pp. 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, vol. 268, 2020, pp. 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, vol. 198, 111870, 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, vol. 40, 2020, pp. 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, vol. 30, 2020, pp. 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, vol. 30, no. 06, World Scientific Pub Co Pte Lt, 2020, pp. 1075–117, doi: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, vol. 13, no. 2, American Institute of Mathematical Sciences (AIMS), 2019, pp. 119–37, doi: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, vol. 22, no. 1, 1, Springer Science and Business Media LLC, 2019, doi:10.1007/s00021-019-0464-z.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34668
Black, Tobias, et al. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” Mathematical Methods in the Applied Sciences, vol. 42, no. 9, Wiley, 2019, pp. 3002–20, doi:10.1002/mma.5561.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34671
Black, Tobias, et al. “Stabilization in the Keller–Segel System with Signal-Dependent Sensitivity.” Applicable Analysis, vol. 99, no. 16, Informa UK Limited, 2019, pp. 2877–91, doi:10.1080/00036811.2019.1585534.
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| DOI