Boundary stabilizing actuators for multi-phase fluids in a channel

Ionut Munteanu (Cuza University, Romania)

Abstract.
This talk is devoted to the problem of boundary stabilization of a mixture of two viscous and incompressible fluids in a three dimensional channel-like domain $(x,y,z)\in \mathbb R\times(0,1)\times \mathbb R$. The model consists of the Navier-Stokes equations, governing the fluid velocity, coupled with a convective Cahn-Hilliard equation for the relative density of the atoms of one of the fluids.