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Type: Artigo de periódico
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.
Editor: Springer New York LLC
Rights: fechado
Identifier DOI: 10.1007/s00245-014-9249-1
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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