Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 64, Issue 4, Pages 686-695Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2005.04.048
Keywords
kinetic models; chemotaxis; diffusion limits
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We consider a class of kinetic models of chemotaxis with two positive non-dimensional parameters coupled to a parabolic equation of the chemo-attractant. If both parameters are set equal zero, we have the classical Keller-Segel model for chemotaxis. We prove global existence of solutions of this two-parameters kinetic model and prove convergence of this model to models of chemotaxis with global existence when one of these two parameters is set equal zero. In one case, we find as a limit model a kinetic model of chemotaxis while in the other case we find a perturbed Keller-Segel model with global existence of solutions. (c) 2005 Elsevier Ltd. All rights reserved.
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