<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Distributed optimal control problems for phase field systems with singular potential

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

Distributed optimal control problems for phase field systems with singular potential

Published Online: Nov 22, 2018

Page range: 71 - 85

Received: Mar 01, 2017

Accepted: Jun 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0019

Keywords
Phase field systems, singular potentials, optimal control, optimality condi- tions, adjoint state system

© 2018 Pierluigi Colli, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Distributed optimal control problems for phase field systems with singular potential

Published Online: Nov 22, 2018

Page range: 71 - 85

Received: Mar 01, 2017

Accepted: Jun 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0019

KeywordsPhase field systems, singular potentials, optimal control, optimality condi- tions, adjoint state system

© 2018 Pierluigi Colli, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Phase field systems, singular potentials, optimal control, optimality condi- tions, adjoint state system