In this paper we study a distributed control problem for a phase field system of Caginalp type with logarithmic potential. The main aim of this work would be to force the location of the diffuse interface to be as close as possible to a prescribed set. However, due to the discontinuous character of the cost functional, we have to approximate it by a regular one and, in this case, we solve the associated control problem and derive the related first order necessary optimality conditions.

Optimal control for a phase field system with a possibly singular potential / P. Colli, G. Gilardi, G. Marinoschi, E. Rocca. - In: MATHEMATICAL CONTROL AND RELATED FIELDS. - ISSN 2156-8472. - 6:1(2016), pp. 95-112. [10.3934/mcrf.2016.6.95]

Optimal control for a phase field system with a possibly singular potential

E. Rocca
2016

Abstract

In this paper we study a distributed control problem for a phase field system of Caginalp type with logarithmic potential. The main aim of this work would be to force the location of the diffuse interface to be as close as possible to a prescribed set. However, due to the discontinuous character of the cost functional, we have to approximate it by a regular one and, in this case, we solve the associated control problem and derive the related first order necessary optimality conditions.
Phase field system; phase transition; singular potentials; optimal control; optimality conditions; adjoint state system
Settore MAT/05 - Analisi Matematica
   Entropy formulation of evolutionary phase transitions
   ENTROPHASE
   EUROPEAN COMMISSION
   H2020
   256872
2016
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/354592
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