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70 Publications
2021 | Journal Article | LibreCat-ID: 34673
Black T, Fuest M, Lankeit J. Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems. Zeitschrift für angewandte Mathematik und Physik. 2021;72(3). doi:10.1007/s00033-021-01524-8
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34675
Black T, Wu C. Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. Zeitschrift für angewandte Mathematik und Physik. 2021;72(4). doi:10.1007/s00033-021-01565-z
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 37373
Winkler M. Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity. 2020;33:5007-5048.
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
Winkler M. Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift für angewandte Mathematik und Physik. 2020;71.
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
Winkler M. Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity. 2020;33:6590-6623.
LibreCat
2020 | Journal Article | LibreCat-ID: 37364
Winkler M. The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in $L^1$. Advances in Nonlinear Analysis. 2020;9:526-566.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
Winkler M. Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Advanced Nonlinear Studies. 2020;20:795-817.
LibreCat
2020 | Journal Article | LibreCat-ID: 37355
Winkler M. Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations. SIAM Journal on Mathematical Analysis. 2020;52:2041-2080.
LibreCat
2020 | Journal Article | LibreCat-ID: 37377
Winkler M. Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae. 2020;169:577-591.
LibreCat
2020 | Journal Article | LibreCat-ID: 37357
Winkler M. Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique. 2020;141:585-624.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez N, Winkler M. Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models & Methods in Applied Sciences. 2020;30:2105-2137.
LibreCat
2020 | Journal Article | LibreCat-ID: 37342
Li G, Tao Y, Winkler M. Larg time behavior in a predator-prey system with indirect pursuit-evasion interaction. Discrete and Continuous Dynamical Systems --B. 2020;25:4383-4398.
LibreCat
2020 | Journal Article | LibreCat-ID: 37354
Tao Y, Winkler M. Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations. 2020;268:4973-4997.
LibreCat
2020 | Journal Article | LibreCat-ID: 37351
Tao Y, Winkler M. A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis. 2020;198.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
Stinner C, Winkler M. Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A. 2020;40:4039-4058.
LibreCat
2020 | Journal Article | LibreCat-ID: 37339
Steiner E, Winkler M. Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science. 2020;30:1809-1847.
LibreCat
2020 | Journal Article | LibreCat-ID: 34670
Black T. Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. Mathematical Models and Methods in Applied Sciences. 2020;30(06):1075-1117. doi:10.1142/s0218202520400072
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34672
Black T. Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. Discrete & Continuous Dynamical Systems - S. 2019;13(2):119-137. doi:10.3934/dcdss.2020007
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34669
Black T. The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System. Journal of Mathematical Fluid Mechanics. 2019;22(1). doi:10.1007/s00021-019-0464-z
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34668
Black T, Lankeit J, Mizukami M. A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions. Mathematical Methods in the Applied Sciences. 2019;42(9):3002-3020. doi:10.1002/mma.5561
LibreCat
| DOI