Weak solutions for a non-Newtonian diffuse interface model with different densities
Weak solutions for a non-Newtonian diffuse interface model with different densities
We consider weak solutions for a diffuse interface model of two non-Newtonian viscous, incompressible fluids of power-law type in the case of different densities in a bounded, sufficiently smooth domain. This leads to a coupled system of a nonhomogenouos generalized Navier-Stokes system and a Cahn-Hilliard equation. For the Cahn-Hilliard part …