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Singular limit of reactiondiffusion systems and modified motion by mean curvature

Published online by Cambridge University Press:  12 July 2007

E. Logak
E. Logak
Affiliation:
Universit de Cergy-Pontoise, Dpartement de Mathmatiques, 2 Ave A. Chauvin, 95302 Cergy-Pontoise Cedex, France
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Abstract

We consider two model reaction-diffusion systems of bistable type arising in the theory of phase transition; they appear in various physical contexts, such as thin magnetic films and diblock copolymers. We prove the convergence of the solution of these systems to the solution of free-boundary problems involving modified motion by mean curvature.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 4 , August 2002 , pp. 951 - 973
Copyright
Copyright © Royal Society of Edinburgh 2002

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