Publication at Faculty of Mathematics and Physics |
2019
Abstract
We consider the compressible Navier-Stokes-Cahn-Hilliard system describing the behavior of a binary mixture of compressible, viscous and macroscopically immiscible fluids. The equations are endowed with dynamic boundary conditions which allows taking into account the interaction between the fluid components and the rigid walls of the physical domain.
We establish the existence of global-in-time weak solutions for any finite energy initial data.