标题:
粘性Cahn-Hilliard方程的整体吸引子Global Attractor for the Viscous Cahn-Hilliard Equation
作者:
任永华
关键字:
粘性Cahn-Hilliard方程, 整体吸引子, 吸收集Viscous Cahn-Hilliard Equation, Global Attractor, Absorbing Set
期刊名称:
《Advances in Applied Mathematics》, Vol.5 No.4, 2016-11-30
摘要:
本文研究了带有非线性项的粘性Cahn-Hilliard方程的整体吸引子。首先验证了该方程有界吸收集的存在性,进而利用紧性方法得到整体吸引子的存在性。
We consider the global attractor of the viscous Cahn-Hilliard equation
with a nonlinear term. Firstly, it proved the existence of bounded absorbing set, then obtained the existence of global attractor by a new method of obtaining the compactness.