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145 Publications
2021 | Journal Article | LibreCat-ID: 63313
Ding, Mengyao, and Michael Winkler. “Small-Density Solutions in Keller–Segel Systems Involving Rapidly Decaying Diffusivities.” Nonlinear Differential Equations and Applications NoDEA, vol. 28, no. 5, 47, Springer Science and Business Media LLC, 2021, doi:10.1007/s00030-021-00709-4.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 63308
Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate Taxis System Modeling Bacterial Motion in Nutrient-Poor Environments.” Nonlinear Analysis: Real World Applications, vol. 63, 103407, Elsevier BV, 2021, doi:10.1016/j.nonrwa.2021.103407.
LibreCat
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2021 | Journal Article | LibreCat-ID: 63307
Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal of Differential Equations, vol. 309, Elsevier BV, 2021, pp. 74–97, doi:10.1016/j.jde.2021.11.026.
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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, vol. 53, no. 2, Society for Industrial & Applied Mathematics (SIAM), 2021, pp. 1411–33, doi: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, vol. 208, 112324, Elsevier BV, 2021, doi:10.1016/j.na.2021.112324.
LibreCat
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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, vol. 32, no. 01, World Scientific Pub Co Pte Ltd, 2021, pp. 137–73, doi:10.1142/s021820252250004x.
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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, vol. 33, no. 5, Cambridge University Press (CUP), 2021, pp. 919–59, doi: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, Scuola Normale Superiore - Edizioni della Normale, 2021, pp. 141–72, doi:10.2422/2036-2145.202005_016.
LibreCat
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2021 | Journal Article | LibreCat-ID: 63373
Wang, Yulan, et al. “Global Classical Solutions in a Two-Dimensional Chemotaxis-Navier-Stokes System with Subcritical Sensitivity.” ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 421–466, Scuola Normale Superiore - Edizioni della Normale, 2021, doi:10.2422/2036-2145.201603_004.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 37373
Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional Keller-Segel System.” Nonlinearity, vol. 33, 2020, pp. 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, vol. 71, 10, 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, vol. 33, 2020, pp. 6590–623.
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, vol. 20, 2020, pp. 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, vol. 30, 2020, pp. 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, vol. 40, 2020, pp. 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, vol. 20, no. 4, Walter de Gruyter GmbH, 2020, pp. 795–817, doi:10.1515/ans-2020-2107.
LibreCat
| DOI
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, vol. 169, no. 1, Springer Science and Business Media LLC, 2020, pp. 577–91, doi:10.1007/s10440-020-00312-2.
LibreCat
| DOI
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, vol. 141, no. 2, Springer Science and Business Media LLC, 2020, pp. 585–624, doi:10.1007/s11854-020-0109-4.
LibreCat
| DOI
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, vol. 30, no. 4, Springer Science and Business Media LLC, 2020, pp. 1809–47, doi:10.1007/s00332-020-09625-w.
LibreCat
| DOI
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, vol. 30, no. 11, World Scientific Pub Co Pte Ltd, 2020, pp. 2105–37, doi:10.1142/s0218202520500396.
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