March  2008, 1(1): 1-14. doi: 10.3934/dcdss.2008.1.1

On sharp interface limits of Allen--Cahn/Cahn--Hilliard variational inequalities

1. 

Department of Mathematics, Imperial College London, South Kensington Campus, London, SW7 2AZ, United Kingdom, United Kingdom

2. 

NWF I - Mathematik, Universität Regensburg, 93040 Regensburg, Germany

Received  September 2006 Revised  February 2007 Published  December 2007

Using formally matched asymptotic expansions we identify the sharp interface asymptotic limit of an Allen-Cahn/Cahn-Hilliard system using a novel approach which enables us to handle the case of variational inequalities.
Citation: John W. Barrett, Harald Garcke, Robert Nürnberg. On sharp interface limits of Allen--Cahn/Cahn--Hilliard variational inequalities. Discrete & Continuous Dynamical Systems - S, 2008, 1 (1) : 1-14. doi: 10.3934/dcdss.2008.1.1
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