Optimal Control and Controllability of a Phase Field System with One Control Force

被引：0
作者：
F. D. Araruna
J. L. Boldrini
B. M. R. Calsavara
机构：
[1] Universidade Federal da Paraíba,Departamento de Matemática
[2] Universidade Estadual de Campinas,Instituto de Matemática, Estatística e Computação Científica
[3] Universidade Estadual de Campinas,Faculdade de Ciências Aplicadas
来源：
Applied Mathematics & Optimization | 2014年 / 70卷
关键词：
Phase field models; Solidification models; Optimal control; Controllability; 82B26; 49J20; 93B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the relation between optimal control and controllability for a phase field system modeling the solidification process of pure materials in the case that only one control force is used. Such system is constituted of one energy balance equation, with a localized control associated to the density of heat sources and sinks to be determined, coupled with a phase field equation with the classical nonlinearity derived from the two-well potential. We prove that this system has a local controllability property and we establish that a sequence of solutions of certain optimal control problems converges to a solution of such controllability problem.
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页码：539 / 563
页数：24
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