A Short Description of Kinetic Models for Chemotaxis
We describe how the Keller-Segel model can be obtained as a driftdiffusion limit of kinetic models. Three different examples with global kinetic solutions yield different chemotactical sensitivity functions, including the case of a constant coefficient, where blow up in the limit may occur, the case with density threshold and an intermediate case for which the corresponding perturbed Keller-Segel models have global solutions.
KeywordsKinetic Model Global Existence Singular Limit Complex Social Behavior Amoeba Dictyostelium Discoideum
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