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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