Calculus of Variations and Geometric Measure Theory

S. Frigeri - E. Rocca - J. Sprekels

Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in 2D

created by rocca on 15 Oct 2015
modified on 16 Oct 2015



Inserted: 15 oct 2015
Last Updated: 16 oct 2015

Year: 2014


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.