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Weak solutions for a two-sidedly degenerate chemotaxis model with volume-filling effect related to the p-laplacian operator
by
Ricardo Ruiz Baier
Departamento de Ingenieria Matematica, Universidad de Concepcion, CHILE
Coauthors: Mostafa Bendahmane, Departamento de Ingenieria Matematica, Universidad de Concepcion, mostafab@ing-mat.udec.cl
Raimund Bürger, Departamento de Ingenieria Matematica, Universidad de Concepcion, rburger@ing-mat.udec.cl
José Miguel Urbano, Departamento de Matemática, Universidade de
Coimbra, Portugal, jmurb@mat.uc.pt
We address the question of existence and Hölder regularity of weak solutions for a fully parabolic model for chemotaxis with volume-filling effect, that degenerates in a two-sided fashion, including a p-Laplacian diffusion term. The relevant system is suplemented with nonlinear Neumann boundary conditions. For the proof of existence of weak solutions we use a Schauder fixed-point argument on a regularized problem and the compactness method, and for the regularity, we use the rescaling method.
Date received: December 10, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawd-03.