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On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility

URN to cite this document:
urn:nbn:de:bvb:355-epub-278930
Abels, Helmut ; Depner, Daniel ; Garcke, Harald
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Date of publication of this fulltext: 13 Mar 2013 09:52


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 Grün for fluids with different densities and leads to a solenoidal velocity field. It is given by a nonhomogeneous Navier-Stokes system with a modifed convective ...

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