Sharp Interface Limit for the Cahn-Larch\'e System
Analysis of PDEs
2014-03-06 v1
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.
Cite
@article{arxiv.1403.1151,
title = {Sharp Interface Limit for the Cahn-Larch\'e System},
author = {Helmut Abels and Stefan Schaubeck},
journal= {arXiv preprint arXiv:1403.1151},
year = {2014}
}
Comments
57 pages