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2372 Publications
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
| DOI
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
| DOI
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
| DOI
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
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63359
Wang Y, Winkler M, Xiang Z. The fast signal diffusion limit in Keller–Segel(-fluid) systems. Calculus of Variations and Partial Differential Equations. 2019;58(6). doi:10.1007/s00526-019-1656-3
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63364
Winkler M. How strong singularities can be regularized by logistic degradation in the Keller–Segel system? Annali di Matematica Pura ed Applicata (1923 -). 2019;198(5):1615-1637. doi:10.1007/s10231-019-00834-z
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 63367
Winkler M. Does repulsion-type directional preference in chemotactic migration continue to regularize Keller–Segel systems when coupled to the Navier–Stokes equations? Nonlinear Differential Equations and Applications NoDEA. 2019;26(6). doi:10.1007/s00030-019-0600-8
LibreCat
| DOI