Abels, Helmut and Depner, Daniel and Garcke, Harald
Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities.
Preprintreihe der Fakultät Mathematik 33/2011,
We prove existence of weak solutions for a diffuse interface model for the
ow of two
viscous incompressible Newtonian
fluids in a bounded domain in two and three space dimensions.
In contrast to previous works, we study a new model recently developed by Abels,
Garcke, and Grün for
fluids with different densities, which leads to a solenoidal velocity field.
The model is given by a non-homogeneous Navier-Stokes system with a modified convective
term coupled to a Cahn-Hilliard system. The density of the mixture depends on an order
|Item Type:||Monograph (Working Paper)|
|Institutions:|| Mathematics > Prof. Dr. Helmut Abels|
|Keywords:||Two-phase flow, Navier-Stokes equation, diffuse interface model, mixtures of viscous fluids, Cahn-Hilliard equation|
|Subjects:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||19 Dec 2011 10:06|
|Last Modified:||19 Dec 2011 10:06|