Optimal control for the multi-dimensional viscous Cahn-Hilliard equation

In this article, we study the multi-dimensional viscous Cahn-Hilliard equation. We prove the existence of optimal solutions and establish the optimality system.

Bibliographic Details
Main Authors: Ning Duan, Xiufang Zhao
Format: Article
Language:English
Published: Texas State University 2015-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/165/abstr.html
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author Ning Duan
Xiufang Zhao
author_facet Ning Duan
Xiufang Zhao
author_sort Ning Duan
collection DOAJ
description In this article, we study the multi-dimensional viscous Cahn-Hilliard equation. We prove the existence of optimal solutions and establish the optimality system.
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spelling doaj.art-661226292715498d9c1858ec3b3100842022-12-22T03:44:50ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-06-012015165,113Optimal control for the multi-dimensional viscous Cahn-Hilliard equationNing Duan0Xiufang Zhao1 Jiangnan Univ., Wuxi, China Qiqihar Univ., Qiqihar, China In this article, we study the multi-dimensional viscous Cahn-Hilliard equation. We prove the existence of optimal solutions and establish the optimality system.http://ejde.math.txstate.edu/Volumes/2015/165/abstr.htmlOptimal controlviscous Cahn-Hilliard equationoptimal solution optimality condition
spellingShingle Ning Duan
Xiufang Zhao
Optimal control for the multi-dimensional viscous Cahn-Hilliard equation
Electronic Journal of Differential Equations
Optimal control
viscous Cahn-Hilliard equation
optimal solution
optimality condition
title Optimal control for the multi-dimensional viscous Cahn-Hilliard equation
title_full Optimal control for the multi-dimensional viscous Cahn-Hilliard equation
title_fullStr Optimal control for the multi-dimensional viscous Cahn-Hilliard equation
title_full_unstemmed Optimal control for the multi-dimensional viscous Cahn-Hilliard equation
title_short Optimal control for the multi-dimensional viscous Cahn-Hilliard equation
title_sort optimal control for the multi dimensional viscous cahn hilliard equation
topic Optimal control
viscous Cahn-Hilliard equation
optimal solution
optimality condition
url http://ejde.math.txstate.edu/Volumes/2015/165/abstr.html
work_keys_str_mv AT ningduan optimalcontrolforthemultidimensionalviscouscahnhilliardequation
AT xiufangzhao optimalcontrolforthemultidimensionalviscouscahnhilliardequation