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.
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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. |
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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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