OPTIMAL-CONTROL OF A PHASE FIELD MODEL FOR SOLIDIFICATION

被引：82

作者：

HOFFMAN, KH

JIANG, LS

机构：

[1] UNIV AUGSBURG,INST MATH,W-8900 AUGSBURG,GERMANY

[2] SUZHOU UNIV,INST MATH,SUZHOU,PEOPLES R CHINA

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1992年 / 13卷 / 1-2期

关键词：

D O I：

10.1080/01630569208816458

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A free boundary value problem is considered modeling solidification of a liquid by making use of the phase field approach as it was introduced by G. Caginalp [1] and others. Existence and uniqueness is proved as well as stability under mild assumptions. But the main goal of this paper is to establish results for the distributed optimal control of the phase field equations. Besides the existence of an optimal control necessary optimality conditions will be proved and some uniqueness results will be obtained.

引用

页码：11 / 27

页数：17