Distributed optimal control problems for phase field systems with singular potential

Distributed optimal control problems for phase field systems with singular potential

In this paper we review some results obtained for a distributed con- trol problem regarding a class of phase field systems of Caginalp type with logarithmic potential. The aim of the control problem is forcing the location of the diffuse interface to be as close as possible to a pre- scribed set. Ho...

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Veröffentlicht in:Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică 2018-07, Vol.26 (2), p.71-85
Hauptverfasser: Colli, Pierluigi, Gilardi, Gianni, Marinoschi, Gabriela, Rocca, Elisabetta
Format: Artikel
Sprache:eng
Schlagworte:
adjoint state system
optimal control
optimality condi- tions
Phase field systems
singular potentials
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Zusammenfassung:In this paper we review some results obtained for a distributed con- trol problem regarding a class of phase field systems of Caginalp type with logarithmic potential. The aim of the control problem is forcing the location of the diffuse interface to be as close as possible to a pre- scribed set. However, due to some discontinuity in the cost functional, we have to regularize it and solve the related control problem for the approximation. We discuss the necessary optimality conditions.
ISSN:1844-0835
1844-0835
DOI:10.2478/auom-2018-0019