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Sharp Interface Limit for the Cahn-Larché System

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.

preprint2014arXivOpen access
Helmut AbelsStefan Schaubeck
math.AP
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Helmut AbelsStefan Schaubeck

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