Free Boundary optimal control in the multidimensional Stefan Problem

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Abstract

The nonconvex variational problems have been recently used to describe a microstructure in various ordered systems from solid mechanics, typically martensitic crystals. In some occasions one meets the need to control such microstructure; cf., eg,[10). The number of results cummulated recently allows now to develop a quite complete mathematical theory supporting an optimal control of this microstructure in situations where it can be described by a scalar variational problem? like the model problem (VPU) below,
Original languageEnglish
Title of host publicationFree Boundary problems
Subtitle of host publicationTheory and Applictions
EditorsJ. I. Diaz, Juan Luis Vazquez, M. A. Herrero, Amable Linan
PublisherChapman & Hall
Pages186-201
Number of pages16
Edition1st
ISBN (Electronic)9780582256453
ISBN (Print)‎0582256453
StatePublished - Apr 1995

Publication series

NamePITMAN RESEARCH NOTES IN MATHEMATICS SERIES
PublisherLONGMAN SCIENTIFIC TECHNICAL

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