WIAS Preprint No. 1983, (2014)

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


Authors

  • Colli, Pierluigi
    ORCID: 0000-0002-7921-5041
  • Gilardi, Gianni
    ORCID: 0000-0002-0651-4307
  • Sprekels, Jürgen
    ORCID: 0009-0000-0618-8604

2010 Mathematics Subject Classification

  • 35K55 35K50 82C26

Keywords

  • Cahn-Hilliard equation, dynamic boundary conditions, phase separation, singular potentials, optimal control, optimality conditions, adjoint state system

DOI

10.20347/WIAS.PREPRINT.1983

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.

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