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arXiv · 1709.02269

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

P. Colli·G. Gilardi·G. Marinoschi·E. Rocca
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Abstract

In this paper we study a distributed control problem for a phase-field system of conserved type with a possibly singular potential. We mainly handle two cases: the case of a viscous Cahn-Hilliard type dynamics for the phase variable in case of a logarithmic-type potential with bounded domain and the case of a standard Cahn-Hilliard equation in case of a regular potential with unbounded domain, like the classical double-well potential, for example. Necessary first order conditions of optimality are derived under natural assumptions on the data.

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P. Colli, G. Gilardi, G. Marinoschi, E. Rocca. 2017-09-11. Optimal control for a conserved phase field system with a possibly singular potential. https://arxiv.org/abs/1709.02269

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