OPTIMAL CONTROL PROBLEM FOR A SIXTH-ORDER CAHN-HILLIARD EQUATION WITH NONLINEAR DIFFUSION

被引：0

作者：

Liu, Changchun ^{[1
]}

Wang, Zhao ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Cahn-Hilliard equation; existence; optimal control; optimal solution; TERNARY AMPHIPHILIC SYSTEMS; GINZBURG-LANDAU THEORY; CAMASSA-HOLM EQUATION; BURGERS-EQUATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the initial-boundary-value problem for a sixth-order Cahn-Hilliard type equation u(t) = D-2 mu, mu = gamma D(4)u - a(u)D(2)u - a'(u)/2 vertical bar Du vertical bar(2) + f(u) + ku(t), 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.

引用

页数：13

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