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142 Publications
2021 | Journal Article | LibreCat-ID: 63316
Y. Tao and M. Winkler, “Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection,” SIAM Journal on Mathematical Analysis, vol. 53, no. 2, pp. 1411–1433, 2021, doi: 10.1137/20m1362851.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63319
Y. Tao and M. Winkler, “The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis,” Nonlinear Analysis, vol. 208, Art. no. 112324, 2021, doi: 10.1016/j.na.2021.112324.
LibreCat
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2021 | Journal Article | LibreCat-ID: 63291
T. Black and M. Winkler, “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, vol. 32, no. 01, pp. 137–173, 2021, doi: 10.1142/s021820252250004x.
LibreCat
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2021 | Journal Article | LibreCat-ID: 63297
N. RODRIGUEZ and M. Winkler, “On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime,” European Journal of Applied Mathematics, vol. 33, no. 5, pp. 919–959, 2021, doi: 10.1017/s0956792521000279.
LibreCat
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2021 | Journal Article | LibreCat-ID: 53333
M. Winkler, “$L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation,” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, pp. 141–172, 2021, doi: 10.2422/2036-2145.202005_016.
LibreCat
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2021 | Journal Article | LibreCat-ID: 63373
Y. Wang, M. Winkler, and Z. Xiang, “Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity,” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, Art. no. 421–466, 2021, doi: 10.2422/2036-2145.201603_004.
LibreCat
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2020 | Journal Article | LibreCat-ID: 37373
M. Winkler, “Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system,” Nonlinearity, vol. 33, pp. 5007–5048, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
M. Winkler, “Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.,” Zeitschrift für angewandte Mathematik und Physik, vol. 71, Art. no. 10, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
M. Winkler, “Can simultaneous density-determined enhacement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?,” Nonlinearity, vol. 33, pp. 6590–6623, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
M. Winkler, “Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions.,” Advanced Nonlinear Studies, vol. 20, pp. 795–817, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
N. Rodriguez and M. 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, pp. 2105–2137, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
C. Stinner and M. Winkler, “Refined regularity and stabilization properties in a degenerate haptotaxis system,” Discrete and Continuous Dynamical Systems --A, vol. 40, pp. 4039–4058, 2020.
LibreCat
2020 | Journal Article | LibreCat-ID: 63340
M. Winkler, “Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions,” Advanced Nonlinear Studies, vol. 20, no. 4, pp. 795–817, 2020, doi: 10.1515/ans-2020-2107.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63342
M. Winkler, “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?,” Acta Applicandae Mathematicae, vol. 169, no. 1, pp. 577–591, 2020, doi: 10.1007/s10440-020-00312-2.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63336
M. Winkler, “Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system,” Journal d’Analyse Mathématique, vol. 141, no. 2, pp. 585–624, 2020, doi: 10.1007/s11854-020-0109-4.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63329
S. Evje and M. Winkler, “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow,” Journal of Nonlinear Science, vol. 30, no. 4, pp. 1809–1847, 2020, doi: 10.1007/s00332-020-09625-w.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63331
N. Rodríguez and M. Winkler, “Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation,” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 11, pp. 2105–2137, 2020, doi: 10.1142/s0218202520500396.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63330
G. Li, Y. Tao, and M. Winkler, “Large time behavior in a predator-prey system with indirect pursuit-evasion interaction,” Discrete and Continuous Dynamical Systems - B, vol. 25, no. 11, pp. 4383–4396, 2020, doi: 10.3934/dcdsb.2020102.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63327
M. Winkler, “Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation,” Nonlinear Analysis: Real World Applications, vol. 59, Art. no. 103257, 2020, doi: 10.1016/j.nonrwa.2020.103257.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63333
Y. Tao and M. Winkler, “A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy,” Nonlinear Analysis, vol. 198, Art. no. 111870, 2020, doi: 10.1016/j.na.2020.111870.
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