Two Dimensional Cahn-Hilliard Equation with Concentration Dependent Mobility and Gradient Dependent Potential

In this paper we consider the initial boundary value problem of Cahn-Hilliard equation with concentration dependent mobility and gradient dependent potential. By the L~P type estimates and the theory of Morrey spaces,we prove the Holder continuity of the solutions.Then we obtain the existence of glo...

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Veröffentlicht in:	数学研究通讯 2011, Vol.27 (2), p.156-168
1. Verfasser:	HUANG RUI YIN JING-XUE WANG LIANG-WEI
Format:	Artikel
Sprache:	eng
Schlagworte:	d方程初始边界值问题浓度依赖性浓度梯度空间理论解的存在性
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Zusammenfassung:	In this paper we consider the initial boundary value problem of Cahn-Hilliard equation with concentration dependent mobility and gradient dependent potential. By the L~P type estimates and the theory of Morrey spaces,we prove the Holder continuity of the solutions.Then we obtain the existence of global classical solutions.The present work can be viewed as an extension to the previous work on the Cahn-Hilliard equation with concentration dependent mobility and potential.
ISSN:	1674-5647