ON A TWO-SIDEDLY DEGENERATE CHEMOTAXIS MODEL WITH VOLUME-FILLING EFFECT

Mostafa Bendahmane, Kenneth H. Karlsen, José Miguel Urbano

Type: Article

Publication Date: 2007-05-01

Citations: 38

DOI: https://doi.org/10.1142/s0218202507002108

Abstract

We consider a fully parabolic model for chemotaxis with volume-filling effect and a nonlinear diffusion that degenerates in a two-sided fashion. We address the questions of existence of weak solutions and of their regularity by using, respectively, a regularization method and the technique of intrinsic scaling.

Locations

Mathematical Models and Methods in Applied Sciences - View
Duo Research Archive (University of Oslo) - View - PDF
Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) - View - PDF

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