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|Type:||Artigo de periódico|
|Title:||Optimal Control And Controllability Of A Phase Field System With One Control Force|
|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|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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