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142 Publications
2020 | Journal Article | LibreCat-ID: 63328
Winkler, Michael. “Boundedness in a Three-Dimensional Keller–Segel–Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters, vol. 112, 106785, Elsevier BV, 2020, doi:10.1016/j.aml.2020.106785.
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2020 | Journal Article | LibreCat-ID: 63320
Tao, Youshan, and Michael Winkler. “Critical Mass for Infinite-Time Blow-up in a Haptotaxis System with Nonlinear Zero-Order Interaction.” Discrete & Continuous Dynamical Systems - A, vol. 41, no. 1, American Institute of Mathematical Sciences (AIMS), 2020, pp. 439–54, doi:10.3934/dcds.2020216.
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2020 | Journal Article | LibreCat-ID: 63335
Winkler, Michael. “Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations.” SIAM Journal on Mathematical Analysis, vol. 52, no. 2, Society for Industrial & Applied Mathematics (SIAM), 2020, pp. 2041–80, doi:10.1137/19m1264199.
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2020 | Journal Article | LibreCat-ID: 63318
TAO, YOUSHAN, and Michael Winkler. “A Critical Virus Production Rate for Efficiency of Oncolytic Virotherapy.” European Journal of Applied Mathematics, vol. 32, no. 2, Cambridge University Press (CUP), 2020, pp. 301–16, doi:10.1017/s0956792520000133.
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2020 | Journal Article | LibreCat-ID: 63314
SURULESCU, CHRISTINA, and Michael Winkler. “Does Indirectness of Signal Production Reduce the Explosion-Supporting Potential in Chemotaxis–Haptotaxis Systems? Global Classical Solvability in a Class of Models for Cancer Invasion (and More).” European Journal of Applied Mathematics, vol. 32, no. 4, Cambridge University Press (CUP), 2020, pp. 618–51, doi:10.1017/s0956792520000236.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63265
Winkler, Michael. “Approaching Critical Decay in a Strongly Degenerate Parabolic Equation.” Journal of Dynamics and Differential Equations, vol. 36, no. S1, Springer Science and Business Media LLC, 2020, pp. 3–23, doi:10.1007/s10884-020-09892-x.
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2019 | Journal Article | LibreCat-ID: 63325
Winkler, Michael. “Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?” International Mathematics Research Notices, vol. 2021, no. 11, Oxford University Press (OUP), 2019, pp. 8106–52, doi:10.1093/imrn/rnz056.
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2019 | Journal Article | LibreCat-ID: 63337
Winkler, Michael. “The Role of Superlinear Damping in the Construction of Solutions to Drift-Diffusion Problems with Initial Data in L1.” Advances in Nonlinear Analysis, vol. 9, no. 1, Walter de Gruyter GmbH, 2019, pp. 526–66, doi:10.1515/anona-2020-0013.
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2019 | Journal Article | LibreCat-ID: 63334
Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal of Differential Equations, vol. 268, no. 9, Elsevier BV, 2019, pp. 4973–97, doi:10.1016/j.jde.2019.10.046.
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2019 | Journal Article | LibreCat-ID: 63349
Bellomo, Nicola, et al. “Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection.” SIAM Journal on Applied Mathematics, vol. 79, no. 5, Society for Industrial & Applied Mathematics (SIAM), 2019, pp. 1990–2010, doi:10.1137/19m1250261.
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2019 | Journal Article | LibreCat-ID: 63355
Tao, Youshan, and Michael Winkler. “Boundedness and Stabilization in a Population Model with Cross‐diffusion for One Species.” Proceedings of the London Mathematical Society, vol. 119, no. 6, Wiley, 2019, pp. 1598–632, doi:10.1112/plms.12276.
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2019 | Journal Article | LibreCat-ID: 63356
Tao, Youshan, and Michael Winkler. “Large Time Behavior in a Forager–Exploiter Model with Different Taxis Strategies for Two Groups in Search of Food.” Mathematical Models and Methods in Applied Sciences, vol. 29, no. 11, World Scientific Pub Co Pte Ltd, 2019, pp. 2151–82, doi:10.1142/s021820251950043x.
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2019 | Journal Article | LibreCat-ID: 63352
Lankeit, Johannes, and Michael Winkler. “Counterintuitive Dependence of Temporal Asymptotics on Initial Decay in a Nonlocal Degenerate Parabolic Equation Arising in Game Theory.” Israel Journal of Mathematics, vol. 233, no. 1, Springer Science and Business Media LLC, 2019, pp. 249–96, doi:10.1007/s11856-019-1900-8.
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2019 | Journal Article | LibreCat-ID: 63358
Tao, Youshan, and Michael Winkler. “A Chemotaxis-Haptotaxis System with Haptoattractant Remodeling: Boundedness Enforced by Mild Saturation of Signal Production.” Communications on Pure & Applied Analysis, vol. 18, no. 4, American Institute of Mathematical Sciences (AIMS), 2019, pp. 2047–67, doi:10.3934/cpaa.2019092.
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2019 | Journal Article | LibreCat-ID: 63357
Tao, Youshan, and Michael Winkler. “Global Smooth Solvability of a Parabolic–Elliptic Nutrient Taxis System in Domains of Arbitrary Dimension.” Journal of Differential Equations, vol. 267, no. 1, Elsevier BV, 2019, pp. 388–406, doi:10.1016/j.jde.2019.01.014.
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2019 | Journal Article | LibreCat-ID: 63353
Lankeit, Johannes, and Michael Winkler. “Facing Low Regularity in Chemotaxis Systems.” Jahresbericht Der Deutschen Mathematiker-Vereinigung, vol. 122, no. 1, Springer Fachmedien Wiesbaden GmbH, 2019, pp. 35–64, doi:10.1365/s13291-019-00210-z.
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2019 | Journal Article | LibreCat-ID: 63351
Krzyżanowski, Piotr, et al. “Migration-Driven Benefit in a Two-Species Nutrient Taxis System.” Nonlinear Analysis: Real World Applications, vol. 48, Elsevier BV, 2019, pp. 94–116, doi:10.1016/j.nonrwa.2019.01.006.
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2019 | Journal Article | LibreCat-ID: 63362
Winkler, Michael. “Global Solvability and Stabilization in a Two-Dimensional Cross-Diffusion System Modeling Urban Crime Propagation.” Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire, vol. 36, no. 6, European Mathematical Society - EMS - Publishing House GmbH, 2019, pp. 1747–90, doi:10.1016/j.anihpc.2019.02.004.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63363
Winkler, Michael. “Global Generalized Solutions to a Multi-Dimensional Doubly Tactic Resource Consumption Model Accounting for Social Interactions.” Mathematical Models and Methods in Applied Sciences, vol. 29, no. 03, World Scientific Pub Co Pte Ltd, 2019, pp. 373–418, doi:10.1142/s021820251950012x.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63366
Winkler, Michael. “Instantaneous Regularization of Distributions From<mml:Math Xmlns:Mml="http://Www.W3.Org/1998/Math/MathML" Display="inline" Overflow="scroll" Id="d1e19" Altimg="si17.Gif"><mml:Msup><mml:Mrow><mml:Mrow><mml:Mo>(</Mml:Mo><mml:Msup><mml:Mrow><mml:Mi>C</Mml:Mi></Mml:Mrow><mml:Mrow><mml:Mn>0</Mml:Mn></Mml:Mrow></Mml:Msup><mml:Mo>)</Mml:Mo></Mml:Mrow></Mml:Mrow><mml:Mrow><mml:Mo>⋆</Mml:Mo></Mml:Mrow></Mml:Msup><mml:Mo>×</Mml:Mo><mml:Msup><mml:Mrow><mml:Mi>L</Mml:Mi></Mml:Mrow><mml:Mrow><mml:Mn>2</Mml:Mn></Mml:Mrow></Mml:Msup></Mml:Math>in the One-Dimensional Parabolic Keller–Segel System.” Nonlinear Analysis, vol. 183, Elsevier BV, 2019, pp. 102–16, doi:10.1016/j.na.2019.01.017.
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