Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in 2D
Analysis of PDEs
2014-11-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1411.1627,
title = {Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in 2D},
author = {Sergio Frigeri and Elisabetta Rocca and Jürgen Sprekels},
journal= {arXiv preprint arXiv:1411.1627},
year = {2014}
}
Comments
32 pages