Distributed optimal control problems for phase field systems with singular potential
Academic Article
Publication Date:
2018
abstract:
In this paper we review some results obtained for a distributed control 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 prescribed 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.
Iris type:
01.01 Articolo in rivista
Keywords:
Phase field systems; singular potentials; optimal control; optimality conditions; adjoint state system
List of contributors:
Colli, Pierluigi
Published in: