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Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities

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.

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Abstract

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)
Date:2011
Institutions:Mathematics > Prof. Dr. Helmut Abels
Classification:
NotationType
76T99MSC
35Q30MSC
35Q35MSC
76D03MSC
76D05MSC
76D27MSC
Keywords:Two-phase flow, Navier-Stokes equation, diffuse interface model, mixtures of viscous fluids, Cahn-Hilliard equation
Subjects:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:19 Dec 2011 10:06
Last Modified:13 Mar 2014 18:18
Item ID:23000
Owner Only: item control page
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