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142 Publications
2020 | Journal Article | LibreCat-ID: 63328
Winkler M. Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity. Applied Mathematics Letters. 2020;112. doi:10.1016/j.aml.2020.106785
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63320
Tao Y, Winkler M. Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Discrete & Continuous Dynamical Systems - A. 2020;41(1):439-454. doi:10.3934/dcds.2020216
LibreCat
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2020 | Journal Article | LibreCat-ID: 63335
Winkler M. Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations. SIAM Journal on Mathematical Analysis. 2020;52(2):2041-2080. doi:10.1137/19m1264199
LibreCat
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2020 | Journal Article | LibreCat-ID: 63318
TAO Y, Winkler M. A critical virus production rate for efficiency of oncolytic virotherapy. European Journal of Applied Mathematics. 2020;32(2):301-316. doi:10.1017/s0956792520000133
LibreCat
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2020 | Journal Article | LibreCat-ID: 63314
SURULESCU C, Winkler M. 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. 2020;32(4):618-651. doi:10.1017/s0956792520000236
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 63265
Winkler M. Approaching Critical Decay in a Strongly Degenerate Parabolic Equation. Journal of Dynamics and Differential Equations. 2020;36(S1):3-23. doi:10.1007/s10884-020-09892-x
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63325
Winkler M. Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems? International Mathematics Research Notices. 2019;2021(11):8106-8152. doi:10.1093/imrn/rnz056
LibreCat
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2019 | Journal Article | LibreCat-ID: 63337
Winkler M. The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1. Advances in Nonlinear Analysis. 2019;9(1):526-566. doi:10.1515/anona-2020-0013
LibreCat
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2019 | Journal Article | LibreCat-ID: 63334
Tao Y, Winkler M. Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations. 2019;268(9):4973-4997. doi:10.1016/j.jde.2019.10.046
LibreCat
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2019 | Journal Article | LibreCat-ID: 63349
Bellomo N, Painter KJ, Tao Y, Winkler M. Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection. SIAM Journal on Applied Mathematics. 2019;79(5):1990-2010. doi:10.1137/19m1250261
LibreCat
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2019 | Journal Article | LibreCat-ID: 63355
Tao Y, Winkler M. Boundedness and stabilization in a population model with cross‐diffusion for one species. Proceedings of the London Mathematical Society. 2019;119(6):1598-1632. doi:10.1112/plms.12276
LibreCat
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2019 | Journal Article | LibreCat-ID: 63356
Tao Y, Winkler M. 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. 2019;29(11):2151-2182. doi:10.1142/s021820251950043x
LibreCat
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2019 | Journal Article | LibreCat-ID: 63352
Lankeit J, Winkler M. Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory. Israel Journal of Mathematics. 2019;233(1):249-296. doi:10.1007/s11856-019-1900-8
LibreCat
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2019 | Journal Article | LibreCat-ID: 63358
Tao Y, Winkler M. A chemotaxis-haptotaxis system with haptoattractant remodeling: Boundedness enforced by mild saturation of signal production. Communications on Pure & Applied Analysis. 2019;18(4):2047-2067. doi:10.3934/cpaa.2019092
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63357
Tao Y, Winkler M. Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension. Journal of Differential Equations. 2019;267(1):388-406. doi:10.1016/j.jde.2019.01.014
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63353
Lankeit J, Winkler M. Facing Low Regularity in Chemotaxis Systems. Jahresbericht der Deutschen Mathematiker-Vereinigung. 2019;122(1):35-64. doi:10.1365/s13291-019-00210-z
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63351
Krzyżanowski P, Winkler M, Wrzosek D. Migration-driven benefit in a two-species nutrient taxis system. Nonlinear Analysis: Real World Applications. 2019;48:94-116. doi:10.1016/j.nonrwa.2019.01.006
LibreCat
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2019 | Journal Article | LibreCat-ID: 63362
Winkler M. 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. 2019;36(6):1747-1790. doi:10.1016/j.anihpc.2019.02.004
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63363
Winkler M. Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. Mathematical Models and Methods in Applied Sciences. 2019;29(03):373-418. doi:10.1142/s021820251950012x
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63366
Winkler M. 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. 2019;183:102-116. doi:10.1016/j.na.2019.01.017
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