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.
|Number of pages||10|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2006 Feb 15|
Bibliographical noteFunding Information:
FACCC was supported by FCT/Portugal through the Project FCT-POCTI/34471/MAT/2000. Both authors thank the kind hospitality of the Max Planck Institute for Mathematics in the Sciences (Leipzig, Germany), particularly to Angela Stevens, who suggested this problem.
All Science Journal Classification (ASJC) codes
- Applied Mathematics