Xiaoli Zhang, Changchun Liu
Abstract:
This article we study the Cahn-Hilliard/Allen-Cahn equation with
degenerate mobility. Under suitable assumptions on the degenerate mobility
and the double well potential, we prove existence of weak solutions,
which can be obtained by considering the limits of Cahn-Hilliard/Allen-Cahn
equations with non-degenerate mobility.
Submitted September 2, 2016. Published December 24, 2016.
Math Subject Classifications: 35G25, 35K55, 35K65.
Key Words: Cahn-Hilliard/Allen-Cahn equation; existence; Galerkin method;
degenerate mobility.
Show me the PDF file (316 KB), TEX file for this article.
Xiaoli Zhang Department of Mathematics Jilin University Changchun 130012, China email: mathche@sina.com | |
Changchun Liu Department of Mathematics Jilin University Changchun 130012, China email: liucc@jlu.edu.cn |
Return to the EJDE web page