Changchun Liu, Zhao Wang
Abstract:
In this article, we study the initial-boundary-value problem for a
sixth-order Cahn-Hilliard type equation
which describes the separation properties of oil-water mixtures,
when a substance enforcing the mixing of the phases is added. The
optimal control of the sixth order Cahn-Hilliard type equation
under boundary condition is given and the existence of optimal
solution to the sixth order Cahn-Hilliard type equation is proved.
Submitted March 1, 2012. Published August 14, 2012.
Math Subject Classifications: 49J20, 35K35, 35K55.
Key Words: Cahn-Hilliard equation; existence; optimal control;
optimal solution.
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Changchun Liu Department of Mathematics, Jilin University Changchun 130012, China email: liucc@jlu.edu.cn | |
Zhao Wang Department of Mathematics, Jilin University Changchun 130012, China email: wangzhao2717@163.com |
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