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

Abstract

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.

Keywords

• cahn-hilliard equation
• radial solution
• degenerate mobility
• nonnegativity