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

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• 作者：Gongcao Shi (1)
  Changchun Liu (1)
  Zhao Wang (2)
  
  1. Department of Mathematics ; Jilin University ; Changchun ; 130012 ; China
  2. School of Basic Science ; Changchun University of Technology ; Changchun ; 130012 ; China
  
• 关键词：49J20 ; 35K35 ; 35K55 ; sixth order Cahn ; Hilliard ; existence ; optimal control
• 刊名：Boundary Value Problems
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,087 KB
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• 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1687-2770

文摘

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.