A Boundary Control Problem for the Viscous Cahn-Hilliard Equation with Dynamic Boundary Conditions

Colli P; Gilardi G; Sprekels J

Applied Mathematics and Optimization, Vol.73, No.2, 195-225, 2016

DOI10.1007/s00245-015-9299-z Export Citation

A Boundary Control Problem for the Viscous Cahn-Hilliard Equation with Dynamic Boundary Conditions

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.

Keywords:Cahn-Hilliard equation;Dynamic boundary conditions;Phase separation;Singular potentials;Optimal control;Optimality conditions;Adjoint state system