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March 2004 Singular limit of a degenerate chemotaxis-Fisher equation
Fathi Dkhil
Hiroshima Math. J. 34(1): 101-115 (March 2004). DOI: 10.32917/hmj/1150998073

Abstract

We study the singular limit of a degenerate nonlinear diffusion equation which appears in a chemotaxis-growth 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.

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Fathi Dkhil. "Singular limit of a degenerate chemotaxis-Fisher equation." Hiroshima Math. J. 34 (1) 101 - 115, March 2004. https://doi.org/10.32917/hmj/1150998073

Information

Published: March 2004
First available in Project Euclid: 22 June 2006

zbMATH: 1063.35094
MathSciNet: MR2046455
Digital Object Identifier: 10.32917/hmj/1150998073

Subjects:
Primary: 35K57
Secondary: 35K50, 35K65, 92C17

Rights: Copyright © 2004 Hiroshima University, Mathematics Program

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Vol.34 • No. 1 • March 2004
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