Radial symmetric solutions of the Cahn-Hilliard equation with degenerate mobility

Electronic Journal of Qualitative Theory of Differential Equations

Changchun Liu¹  Jingxue Yin² 

[1] Jilin University, Changchun, P. R. China;South China Normal University, Guangzhou, P. R. China;

关键词: cahn-hilliard equation;    radial solution;    degenerate mobility;    nonnegativity;   

DOI  :  10.14232/ejqtde.2001.1.2

来源: DOAJ

【 摘 要 】

In this paper we study the radial symmetric solutions of the two-dimensional Cahn-Hilliard equation with degenerate mobility. We adopt the method of parabolic regularization. After establishing some necessary uniform estimates on the approximate solutions, we prove the existence and the nonnegativity of weak solutions.

【 授权许可】

Unknown