A boundary control problem for the viscous Cahn--Hilliard equation with dynamic boundary conditions
- Colli, Pierluigi
- Gilardi, Gianni
- Sprekels, Jürgen
2010 Mathematics Subject Classification
- 35K55 35K50 82C26
- 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.
- Appl. Math. Optim., 73 (2016), pp. 195--225, DOI 10.1007/s00245-015-9299-z .