English

A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions

Analysis of PDEs 2015-03-12 v2 Optimization and Control

Abstract

A boundary control problem for the viscous Cahn-Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first order necessary conditions for optimality are proved. Key words: Cahn-Hilliard equation, dynamic boundary conditions, phase separation, singular potentials, optimal control, optimality conditions, adjoint state system

Keywords

Cite

@article{arxiv.1407.3916,
  title  = {A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions},
  author = {Pierluigi Colli and Gianni Gilardi and Jürgen Sprekels},
  journal= {arXiv preprint arXiv:1407.3916},
  year   = {2015}
}