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145 Publications
2021 | Journal Article | LibreCat-ID: 63313
Ding M, Winkler M. Small-density solutions in Keller–Segel systems involving rapidly decaying diffusivities. Nonlinear Differential Equations and Applications NoDEA. 2021;28(5). doi:10.1007/s00030-021-00709-4
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63308
Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments. Nonlinear Analysis: Real World Applications. 2021;63. doi:10.1016/j.nonrwa.2021.103407
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63307
Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal of Differential Equations. 2021;309:74-97. doi:10.1016/j.jde.2021.11.026
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63316
Tao Y, Winkler M. Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection. SIAM Journal on Mathematical Analysis. 2021;53(2):1411-1433. doi:10.1137/20m1362851
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63319
Tao Y, Winkler M. The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Nonlinear Analysis. 2021;208. doi:10.1016/j.na.2021.112324
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63291
Black T, Winkler M. 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. 2021;32(01):137-173. doi:10.1142/s021820252250004x
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63297
RODRIGUEZ N, Winkler M. On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime. European Journal of Applied Mathematics. 2021;33(5):919-959. doi:10.1017/s0956792521000279
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 53333
Winkler M. $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. Published online 2021:141-172. doi:10.2422/2036-2145.202005_016
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63373
Wang Y, Winkler M, Xiang Z. Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. Published online 2021. doi:10.2422/2036-2145.201603_004
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: 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: 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: 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: 63340
Winkler M. Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions. Advanced Nonlinear Studies. 2020;20(4):795-817. doi:10.1515/ans-2020-2107
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63342
Winkler M. Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae. 2020;169(1):577-591. doi:10.1007/s10440-020-00312-2
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63336
Winkler M. Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique. 2020;141(2):585-624. doi:10.1007/s11854-020-0109-4
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63329
Evje S, Winkler M. Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science. 2020;30(4):1809-1847. doi:10.1007/s00332-020-09625-w
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63331
Rodríguez N, Winkler M. Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models and Methods in Applied Sciences. 2020;30(11):2105-2137. doi:10.1142/s0218202520500396
LibreCat
| DOI