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- Title
Optimal Control and Controllability of a Phase Field System with One Control Force.
- Authors
Araruna, F.; Boldrini, J.; Calsavara, B.
- 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.
- Subjects
OPTIMAL control theory; ENERGY balance mass spectrometers; PROBLEM solving; NONLINEAR theories; MATHEMATICAL proofs
- Publication
Applied Mathematics & Optimization, 2014, Vol 70, Issue 3, p539
- ISSN
0095-4616
- Publication type
Article
- DOI
10.1007/s00245-014-9249-1