Two Dimensional Cahn-Hilliard Equation with Concentration Dependent Mobility and Gradient Dependent Potential
Year: 2011
Author: Rui Huang, Jingxue Yin, Liangwei Wang
Communications in Mathematical Research , Vol. 27 (2011), Iss. 2 : pp. 156–168
Abstract
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 Hölder 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-CMR-19100
Communications in Mathematical Research , Vol. 27 (2011), Iss. 2 : pp. 156–168
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Cahn-Hilliard equation concentration dependent mobility gradient dependent potential.