arXiv:1403.1151 Abstract | arXiv Analytics

arXiv:1403.1151 [math.AP]Abstract References Reviews Resources

Sharp Interface Limit for the Cahn-Larché System

Published 2014-03-05Version 1

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.

Comments: 57 pages

Categories: math.AP

Subjects: 74N15, 35B25, 35K55

Keywords: sharp interface limit, construct approximate solutions, cahn-hilliard system, matched asymptotic expansion, modified hele-shaw problem

Related articles: Most relevant | Search more

arXiv:1811.12489 [math.AP] (Published 2018-11-29)

On the Sharp Interface Limit of a Model for Phase Separation on Biological Membranes

Helmut Abels, Johannes Kampmann

arXiv:1507.07469 [math.AP] (Published 2015-07-27)

The Sharp interface limit for the stochastic Cahn-Hilliard equation

Dimitra C. Antonopoulou, Dirk Blömker, Georgia D. Karali

arXiv:2001.06852 [math.AP] (Published 2020-01-19)