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71 Publications
2021 | Journal Article | LibreCat-ID: 35608
Tao, Y., & Winkler, M. (2021). Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Discrete and Continuous Dynamical Systems, 41(A), 439–454.
LibreCat
2021 | Journal Article | LibreCat-ID: 34673
Black, T., Fuest, M., & Lankeit, J. (2021). Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems. Zeitschrift Für Angewandte Mathematik Und Physik, 72(3), Article 96. https://doi.org/10.1007/s00033-021-01524-8
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34675
Black, T., & Wu, C. (2021). Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. Zeitschrift Für Angewandte Mathematik Und Physik, 72(4), Article 135. https://doi.org/10.1007/s00033-021-01565-z
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 37373
Winkler, M. (2020). Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system. Nonlinearity, 33, 5007–5048.
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
Winkler, M. (2020). Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. Zeitschrift Für Angewandte Mathematik Und Physik, 71, Article 10.
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
Winkler, M. (2020). Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities? Nonlinearity, 33, 6590–6623.
LibreCat
2020 | Journal Article | LibreCat-ID: 37364
Winkler, M. (2020). 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, 526–566.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
Winkler, M. (2020). Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions. Advanced Nonlinear Studies, 20, 795–817.
LibreCat
2020 | Journal Article | LibreCat-ID: 37355
Winkler, M. (2020). Small-mass solutions in the two-dimensional Keller-Segel system coupled to the Navier-Stokes equations. SIAM Journal on Mathematical Analysis, 52, 2041–2080.
LibreCat
2020 | Journal Article | LibreCat-ID: 37377
Winkler, M. (2020). Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae, 169, 577–591.
LibreCat
2020 | Journal Article | LibreCat-ID: 37357
Winkler, M. (2020). Blow-up profiles and liefe beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique, 141, 585–624.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez, N., & Winkler, M. (2020). Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models & Methods in Applied Sciences, 30, 2105–2137.
LibreCat
2020 | Journal Article | LibreCat-ID: 37342
Li, G., Tao, Y., & Winkler, M. (2020). Larg time behavior in a predator-prey system with indirect pursuit-evasion interaction. Discrete and Continuous Dynamical Systems --B, 25, 4383–4398.
LibreCat
2020 | Journal Article | LibreCat-ID: 37354
Tao, Y., & Winkler, M. (2020). Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations, 268, 4973–4997.
LibreCat
2020 | Journal Article | LibreCat-ID: 37351
Tao, Y., & Winkler, M. (2020). A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis, 198, Article 111870.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
Stinner, C., & Winkler, M. (2020). Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A, 40, 4039–4058.
LibreCat
2020 | Journal Article | LibreCat-ID: 37339
Steiner, E., & Winkler, M. (2020). Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science, 30, 1809–1847.
LibreCat
2020 | Journal Article | LibreCat-ID: 34670
Black, T. (2020). Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. Mathematical Models and Methods in Applied Sciences, 30(06), 1075–1117. https://doi.org/10.1142/s0218202520400072
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34672
Black, T. (2019). Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. Discrete & Continuous Dynamical Systems - S, 13(2), 119–137. https://doi.org/10.3934/dcdss.2020007
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34669
Black, T. (2019). The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System. Journal of Mathematical Fluid Mechanics, 22(1), Article 1. https://doi.org/10.1007/s00021-019-0464-z
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