Singular limit of reactiondiffusion systems and modified motion by mean curvature
Elisabeth Logak · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2002
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.