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142 Publications
2020 | Journal Article | LibreCat-ID: 63328
M. Winkler, “Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity,” Applied Mathematics Letters, vol. 112, Art. no. 106785, 2020, doi: 10.1016/j.aml.2020.106785.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63320
Y. Tao and M. 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, pp. 439–454, 2020, doi: 10.3934/dcds.2020216.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63335
M. Winkler, “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, pp. 2041–2080, 2020, doi: 10.1137/19m1264199.
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2020 | Journal Article | LibreCat-ID: 63318
Y. TAO and M. Winkler, “A critical virus production rate for efficiency of oncolytic virotherapy,” European Journal of Applied Mathematics, vol. 32, no. 2, pp. 301–316, 2020, doi: 10.1017/s0956792520000133.
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2020 | Journal Article | LibreCat-ID: 63314
C. SURULESCU and M. 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, pp. 618–651, 2020, doi: 10.1017/s0956792520000236.
LibreCat
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2020 | Journal Article | LibreCat-ID: 63265
M. Winkler, “Approaching Critical Decay in a Strongly Degenerate Parabolic Equation,” Journal of Dynamics and Differential Equations, vol. 36, no. S1, pp. 3–23, 2020, doi: 10.1007/s10884-020-09892-x.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63325
M. Winkler, “Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?,” International Mathematics Research Notices, vol. 2021, no. 11, pp. 8106–8152, 2019, doi: 10.1093/imrn/rnz056.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63337
M. Winkler, “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, pp. 526–566, 2019, doi: 10.1515/anona-2020-0013.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63334
Y. Tao and M. Winkler, “Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy,” Journal of Differential Equations, vol. 268, no. 9, pp. 4973–4997, 2019, doi: 10.1016/j.jde.2019.10.046.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63349
N. Bellomo, K. J. Painter, Y. Tao, and M. Winkler, “Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection,” SIAM Journal on Applied Mathematics, vol. 79, no. 5, pp. 1990–2010, 2019, doi: 10.1137/19m1250261.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63355
Y. Tao and M. Winkler, “Boundedness and stabilization in a population model with cross‐diffusion for one species,” Proceedings of the London Mathematical Society, vol. 119, no. 6, pp. 1598–1632, 2019, doi: 10.1112/plms.12276.
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2019 | Journal Article | LibreCat-ID: 63356
Y. Tao and M. 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, pp. 2151–2182, 2019, doi: 10.1142/s021820251950043x.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63352
J. Lankeit and M. 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, pp. 249–296, 2019, doi: 10.1007/s11856-019-1900-8.
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2019 | Journal Article | LibreCat-ID: 63358
Y. Tao and M. 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, pp. 2047–2067, 2019, doi: 10.3934/cpaa.2019092.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63357
Y. Tao and M. Winkler, “Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension,” Journal of Differential Equations, vol. 267, no. 1, pp. 388–406, 2019, doi: 10.1016/j.jde.2019.01.014.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63353
J. Lankeit and M. Winkler, “Facing Low Regularity in Chemotaxis Systems,” Jahresbericht der Deutschen Mathematiker-Vereinigung, vol. 122, no. 1, pp. 35–64, 2019, doi: 10.1365/s13291-019-00210-z.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63351
P. Krzyżanowski, M. Winkler, and D. Wrzosek, “Migration-driven benefit in a two-species nutrient taxis system,” Nonlinear Analysis: Real World Applications, vol. 48, pp. 94–116, 2019, doi: 10.1016/j.nonrwa.2019.01.006.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63362
M. Winkler, “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, pp. 1747–1790, 2019, doi: 10.1016/j.anihpc.2019.02.004.
LibreCat
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2019 | Journal Article | LibreCat-ID: 63363
M. Winkler, “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, pp. 373–418, 2019, doi: 10.1142/s021820251950012x.
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2019 | Journal Article | LibreCat-ID: 63366
M. Winkler, “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, pp. 102–116, 2019, doi: 10.1016/j.na.2019.01.017.
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