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

作者：Colli Pierluigi; Gilardi Gianni; Sprekels Juergen^*

来源：Applied Mathematics and Optimization, 2016, 73(2): 195-225.

DOI：10.1007/s00245-015-9299-z

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

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.

• 出版日期2016-4