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arXiv · 1403.1151

Sharp Interface Limit for the Cahn-Larché System

Helmut Abels·Stefan Schaubeck
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Abstract

We prove rigorously the convergence of the Cahn-Larché system, which is a Cahn-Hilliard system coupled with the system of linearized elasticity, to a modified Hele-Shaw problem as long as a classical solution of the latter system exists. By matched asymptotic expansion we construct approximate solutions and estimate the difference between the true and the approximate solutions.

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Helmut Abels, Stefan Schaubeck. 2014-03-05. Sharp Interface Limit for the Cahn-Larché System. https://arxiv.org/abs/1403.1151

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