3-Dimensional Cahn-Hilliard Equation with Concentration Dependent Mobility and Gradient Dependent Potential
Received:February 25, 2011  Revised:April 22, 2011
Key Words: Cahn-Hilliard equation   concentration dependent mobility   gradient dependent potential.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11001103), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.200801831002), the China Postdoctoral Science Foundation (Grant No.20100481229) and the Fundamental Research Funds for the Central Universities.
Author NameAffiliation
Rui HUANG School of Mathematical Sciences, South China Normal University, Guangdong 510631, P. R. China 
Yang CAO School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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Abstract:
      In this paper we investigate the initial boundary value problem of Cahn-Hilliard equation with concentration dependent mobility and gradient dependent potential. By the energy method and the theory of Campanato spaces, we prove the existence and the uniqueness of classical solutions in 3-dimensional space.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.03.003
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