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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
22/2003

Singular limit of a degenerate chemotaxis-Fisher equation

Fathi Dkhil

Abstract

We study the singular limit of an advection-reaction-degenerate-diffusion equation which appear in a chemotaxis model. We prove the convergence to the solution of a free boundary problem where the motion equation of the interface involve the gradient of the chemotactic concentration and the critical velocity of a degenerate Fisher equation.

Received:
Mar 10, 2003
Published:
Mar 10, 2003
MSC Codes:
35K65, 35K45, 35K57, 35B50, 92C17
Keywords:
reaction-diffusion system, chemotaxis, keller-segel model, travelling wave, inteface motion

Related publications

inJournal
2004 Journal Open Access
Fathi Dkhil

Singular limit of a degenerate chemotaxis-Fisher equation

In: Hiroshima mathematical journal, 34 (2004) 1, pp. 101-115