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142 Publications


2021 | Journal Article | LibreCat-ID: 63316
Tao, Y., & Winkler, M. (2021). Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection. SIAM Journal on Mathematical Analysis, 53(2), 1411–1433. https://doi.org/10.1137/20m1362851
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2021 | Journal Article | LibreCat-ID: 63319
Tao, Y., & Winkler, M. (2021). The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. Nonlinear Analysis, 208, Article 112324. https://doi.org/10.1016/j.na.2021.112324
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2021 | Journal Article | LibreCat-ID: 63291
Black, T., & Winkler, M. (2021). 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, 32(01), 137–173. https://doi.org/10.1142/s021820252250004x
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2021 | Journal Article | LibreCat-ID: 63297
RODRIGUEZ, N., & Winkler, M. (2021). On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime. European Journal of Applied Mathematics, 33(5), 919–959. https://doi.org/10.1017/s0956792521000279
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2021 | Journal Article | LibreCat-ID: 53333
Winkler, M. (2021). $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 141–172. https://doi.org/10.2422/2036-2145.202005_016
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2021 | Journal Article | LibreCat-ID: 63373
Wang, Y., Winkler, M., & Xiang, Z. (2021). Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, Article 421–466. https://doi.org/10.2422/2036-2145.201603_004
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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.
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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.
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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.
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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.
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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.
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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.
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2020 | Journal Article | LibreCat-ID: 63340
Winkler, M. (2020). Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions. Advanced Nonlinear Studies, 20(4), 795–817. https://doi.org/10.1515/ans-2020-2107
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2020 | Journal Article | LibreCat-ID: 63342
Winkler, M. (2020). Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains? Acta Applicandae Mathematicae, 169(1), 577–591. https://doi.org/10.1007/s10440-020-00312-2
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2020 | Journal Article | LibreCat-ID: 63336
Winkler, M. (2020). Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system. Journal d’Analyse Mathématique, 141(2), 585–624. https://doi.org/10.1007/s11854-020-0109-4
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2020 | Journal Article | LibreCat-ID: 63329
Evje, S., & Winkler, M. (2020). Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science, 30(4), 1809–1847. https://doi.org/10.1007/s00332-020-09625-w
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2020 | Journal Article | LibreCat-ID: 63331
Rodríguez, N., & Winkler, M. (2020). Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation. Mathematical Models and Methods in Applied Sciences, 30(11), 2105–2137. https://doi.org/10.1142/s0218202520500396
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2020 | Journal Article | LibreCat-ID: 63330
Li, G., Tao, Y., & Winkler, M. (2020). Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. Discrete and Continuous Dynamical Systems - B, 25(11), 4383–4396. https://doi.org/10.3934/dcdsb.2020102
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2020 | Journal Article | LibreCat-ID: 63327
Winkler, M. (2020). Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation. Nonlinear Analysis: Real World Applications, 59, Article 103257. https://doi.org/10.1016/j.nonrwa.2020.103257
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2020 | Journal Article | LibreCat-ID: 63333
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. https://doi.org/10.1016/j.na.2020.111870
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