On an Incompressible Navier-Stokes/Cahn-Hilliard System with Degenerate Mobility
Analysis of PDEs
2015-06-11 v1
Abstract
We prove existence of weak solutions for a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain by allowing for a degenerate mobility. The model has been developed by Abels, Garcke and Gr\"un for fluids with different densities and leads to a solenoidal velocity field. It is given by a non-homogeneous Navier-Stokes system with a modified convective term coupled to a Cahn-Hilliard system, such that an energy estimate is fulfilled which follows from the fact that the model is thermodynamically consistent.
Keywords
Cite
@article{arxiv.1210.1011,
title = {On an Incompressible Navier-Stokes/Cahn-Hilliard System with Degenerate Mobility},
author = {Helmut Abels and Daniel Depner and Harald Garcke},
journal= {arXiv preprint arXiv:1210.1011},
year = {2015}
}
Comments
22 pages