Abels, Helmut and Depner, Daniel and Garcke, Harald (2011) 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, Working Paper.
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 ...
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|Item type:||Monograph (Working Paper)|
|Series of the University of Regensburg:||Preprintreihe der Fakultät Mathematik|
|Institutions:||Mathematics > Prof. Dr. Helmut Abels|
|Keywords:||Two-phase flow, Navier-Stokes equation, diffuse interface model, mixtures of viscous fluids, Cahn-Hilliard equation|
|Dewey Decimal Classification:||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:||13 Mar 2014 18:18|