%0 Journal Article
%T Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in 2D
%A Sergio Frigeri
%A Elisabetta Rocca
%A Jščrgen Sprekels
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1411.1627v1