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.
Main Authors: | , |
---|---|
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 |
_version_ | 1811214591886098432 |
---|---|
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. |
first_indexed | 2024-04-12T06:07:15Z |
format | Article |
id | doaj.art-661226292715498d9c1858ec3b310084 |
institution | Directory Open Access Journal |
issn | 1072-6691 |
language | English |
last_indexed | 2024-04-12T06:07:15Z |
publishDate | 2015-06-01 |
publisher | Texas State University |
record_format | Article |
series | Electronic Journal of Differential Equations |
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 |