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- W2725012060 abstract "We introduce three new examples of kinetic models for chemotaxis, where a kinetic equation for the phase-space density is coupled to a parabolic or elliptic equation for the chemo-attractant, in two or three dimensions. We prove that these models have global-in-time existence and rigorously converge, in the drift-diffusion limit to the Keller–Segel model. Furthermore, the cell density is uniformly-in-time bounded. This implies, in particular, that the limit model also has global existence of solutions." @default.
- W2725012060 created "2017-07-14" @default.
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- W2725012060 date "2006-01-01" @default.
- W2725012060 modified "2023-10-16" @default.
- W2725012060 title "A class of kinetic models for chemotaxis with threshold to prevent overcrowding." @default.
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