Optimal control problem for a generalized sixth order Cahn-Hilliard type equation with nonlinear diffusion

Boundary value problems

Gongcao Shi¹  Changchun Liu¹  Zhao Wang² 

[1] Department of Mathematics, Jilin University, Changchun, China;School of Basic Science, Changchun University of Technology, Changchun, China

关键词: sixth order Cahn-Hilliard;    existence;    optimal control;    49J20;    35K35;    35K55;   

DOI  :  10.1186/s13661-015-0321-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the initial-boundary-value problem for a generalized 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 under boundary condition is given and the existence of optimal solution is proved.

【 授权许可】

CC BY