(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014) Frigeri, Sergio Pietro; Rocca, Elisabetta; Sprekels, Jürgen
We study a diffuse interface model for incompressible isothermal
mixtures of two immiscible fluids coupling the Navier-Stokes system with a
convective nonlocal Cahn-Hilliard equation in two dimensions of space. We
apply recently proved well-posedness and regularity results in order to
establish existence of optimal controls as well as first-order necessary
optimality conditions for an associated optimal control problem in which a
distributed control is applied to the fluid flow.
