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142 Publications
2021 | Journal Article | LibreCat-ID: 63316
Tao, Youshan, and Michael Winkler. “Taxis-Driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection.” SIAM Journal on Mathematical Analysis 53, no. 2 (2021): 1411–33. https://doi.org/10.1137/20m1362851.
LibreCat
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2021 | Journal Article | LibreCat-ID: 63319
Tao, Youshan, and Michael Winkler. “The Dampening Role of Large Repulsive Convection in a Chemotaxis System Modeling Tumor Angiogenesis.” Nonlinear Analysis 208 (2021). https://doi.org/10.1016/j.na.2021.112324.
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2021 | Journal Article | LibreCat-ID: 63291
Black, Tobias, and Michael 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 32, no. 01 (2021): 137–73. https://doi.org/10.1142/s021820252250004x.
LibreCat
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2021 | Journal Article | LibreCat-ID: 63297
RODRIGUEZ, NANCY, and Michael Winkler. “On the Global Existence and Qualitative Behaviour of One-Dimensional Solutions to a Model for Urban Crime.” European Journal of Applied Mathematics 33, no. 5 (2021): 919–59. https://doi.org/10.1017/s0956792521000279.
LibreCat
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2021 | Journal Article | LibreCat-ID: 53333
Winkler, Michael. “$L^1$ Solutions to Parabolic Keller-Segel Systems Involving Arbitrary Superlinear Degradation.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021, 141–72. https://doi.org/10.2422/2036-2145.202005_016.
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2021 | Journal Article | LibreCat-ID: 63373
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Classical Solutions in a Two-Dimensional Chemotaxis-Navier-Stokes System with Subcritical Sensitivity.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021. https://doi.org/10.2422/2036-2145.201603_004.
LibreCat
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2020 | Journal Article | LibreCat-ID: 37373
Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” Nonlinearity 33 (2020): 5007–48.
LibreCat
2020 | Journal Article | LibreCat-ID: 37380
Winkler, Michael. “Boundedness in a Two-Dimensional Keller-Segel-Navier-Stokes System Involving a Rapidly Diffusing Repulsive Signal.” Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020).
LibreCat
2020 | Journal Article | LibreCat-ID: 37367
Winkler, Michael. “Can Simultaneous Density-Determined Enhacement of Diffusion and Cross-Diffusion Foster Boundedness in Keller-Segel Type Systems Involving Signal-Dependent Motilities?” Nonlinearity 33 (2020): 6590–6623.
LibreCat
2020 | Journal Article | LibreCat-ID: 37375
Winkler, Michael. “Attractiveness of Constant States in Logistic-Type Keller-Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies 20 (2020): 795–817.
LibreCat
2020 | Journal Article | LibreCat-ID: 37347
Rodriguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models & Methods in Applied Sciences 30 (2020): 2105–37.
LibreCat
2020 | Journal Article | LibreCat-ID: 37349
Stinner, Christian, and Michael Winkler. “Refined Regularity and Stabilization Properties in a Degenerate Haptotaxis System.” Discrete and Continuous Dynamical Systems --A 40 (2020): 4039–58.
LibreCat
2020 | Journal Article | LibreCat-ID: 63340
Winkler, Michael. “Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions.” Advanced Nonlinear Studies 20, no. 4 (2020): 795–817. https://doi.org/10.1515/ans-2020-2107.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63342
Winkler, Michael. “Can Fluid Interaction Influence the Critical Mass for Taxis-Driven Blow-up in Bounded Planar Domains?” Acta Applicandae Mathematicae 169, no. 1 (2020): 577–91. https://doi.org/10.1007/s10440-020-00312-2.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63336
Winkler, Michael. “Blow-up Profiles and Life beyond Blow-up in the Fully Parabolic Keller-Segel System.” Journal d’Analyse Mathématique 141, no. 2 (2020): 585–624. https://doi.org/10.1007/s11854-020-0109-4.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63329
Evje, Steinar, and Michael Winkler. “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” Journal of Nonlinear Science 30, no. 4 (2020): 1809–47. https://doi.org/10.1007/s00332-020-09625-w.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63331
Rodríguez, Nancy, and Michael Winkler. “Relaxation by Nonlinear Diffusion Enhancement in a Two-Dimensional Cross-Diffusion Model for Urban Crime Propagation.” Mathematical Models and Methods in Applied Sciences 30, no. 11 (2020): 2105–37. https://doi.org/10.1142/s0218202520500396.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63330
Li, Genglin, Youshan Tao, and Michael Winkler. “Large Time Behavior in a Predator-Prey System with Indirect Pursuit-Evasion Interaction.” Discrete and Continuous Dynamical Systems - B 25, no. 11 (2020): 4383–96. https://doi.org/10.3934/dcdsb.2020102.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63327
Winkler, Michael. “Global Weak Solutions in a Three-Dimensional Keller–Segel–Navier–Stokes System with Gradient-Dependent Flux Limitation.” Nonlinear Analysis: Real World Applications 59 (2020). https://doi.org/10.1016/j.nonrwa.2020.103257.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63333
Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for Blow-up Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” Nonlinear Analysis 198 (2020). https://doi.org/10.1016/j.na.2020.111870.
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