Optimal control of a phase field model for solidification
作者:
Karl-Heinz Hoffman,
Lishang Jiang,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1992)
卷期:
Volume 13,
issue 1-2
页码: 11-27
ISSN:0163-0563
年代: 1992
DOI:10.1080/01630569208816458
出版商: Marcel Dekker, Inc.
数据来源: Taylor
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.
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