This paper addresses the existence and regularity of weak solutions for a fully parabolic model of chemotaxis, with prevention of overcrowding, that degenerates in a two-sided fashion, including an extra nonlinearity represented by a p-Laplacian diffusion term. To prove the existence of weak solutions, a Schauder fixed-point argument is applied to a regularized problem and the compactness method is used to pass to the limit. The local Hölder regularity of weak solutions is established using the method of intrinsic scaling. The results are a contribution to showing, qualitatively, to what extent the properties of the classical Keller-Segel chemotaxis models are preserved in a more general setting. Some numerical examples illustrate the model. Copyright © 2008 John Wiley and Sons, Ltd.
|Original language||English (US)|
|Number of pages||34|
|Journal||Mathematical Methods in the Applied Sciences|
|State||Published - Sep 15 2009|
Bibliographical noteGenerated from Scopus record by KAUST IRTS on 2023-02-15
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