Sharp Interface Limit for the Cahn-Larché System (1403.1151v1)

Published 5 Mar 2014 in math.AP

Abstract: We prove rigorously the convergence of the Cahn-Larch\'e 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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