Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/87553
Type: Artigo
Title: Optimal control and controllability of a phase field system with one control force
Author: Araruna, F. D.
Boldrini, J. L.
Calsavara, B. M. R.
Abstract: 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.
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.
Subject: Modelos de campo de fase
Solidificação - Modelos matemáticos
Controle ótimo
Teoria do controle não-linear
Teoria do controle
Country: Estados Unidos
Editor: Springer
Citation: Applied Mathematics And Optimization. Springer New York Llc, v. 70, n. 3, p. 539 - 563, 2014.
Rights: fechado
Identifier DOI: 10.1007/s00245-014-9249-1
Address: https://link.springer.com/article/10.1007/s00245-014-9249-1
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

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