On a two-sidedly degenerate chemotaxis model with volume-filling effect

Mostafa Bendahmane; Kenneth H. Karlsen; José Miguel Urbano

doi:10.1142/S0218202507002108

On a two-sidedly degenerate chemotaxis model with volume-filling effect

Mostafa Bendahmane, Kenneth H. Karlsen, José Miguel Urbano

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34 Scopus citations

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. © World Scientific Publishing Company.

Original language	English (US)
Pages (from-to)	783-804
Number of pages	22
Journal	Mathematical Models and Methods in Applied Sciences
Volume	17
Issue number	5
DOIs	https://doi.org/10.1142/S0218202507002108
State	Published - May 1 2007
Externally published	Yes

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

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AB - 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. © World Scientific Publishing Company.

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JO - Mathematical Models and Methods in Applied Sciences

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On a two-sidedly degenerate chemotaxis model with volume-filling effect

Abstract

ASJC Scopus subject areas

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