Singular limit of reactiondiffusion systems and modified motion by mean curvature
Published online by Cambridge University Press: 12 July 2007
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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