粘性Cahn-Hilliard方程的径向解

Radial Symmetric Solutions of the Viscous Cahn-Hilliard Equation

研究了具退化迁移率的粘性Cahn Hilliard方程在二维情形下的径向对称解,我们的方法是抛物正则化的办法。基于逼近解的某些必要的一致估计,证明了物理解的存在性。

The radial symmetric solutions of the two-dimensional viscous Cahn-Hilliard equation with degenerate mobility is studied. We adopt the method of parabolic regularization. After establishing some necessary uniform estimates on the approximate solutions, we prove the existence of physical solutions.