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Strong well-posedness of a diffuse interface model for a viscous, quasi-incompressible two-phase flow

Abels, Helmut (2011) Strong well-posedness of a diffuse interface model for a viscous, quasi-incompressible two-phase flow. Preprintreihe der Fakultät Mathematik 20/2011, Working Paper. (Unpublished)

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Abstract

We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in the model. Moreover, diffusion of both components is taken into account. In contrast to previous works, we study a model for the general case that the fluids ...

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Item Type:Monograph (Working Paper)
Date:2011
Institutions:Mathematics > Prof. Dr. Helmut Abels
Classification:
NotationType
76T99MSC
35Q30MSC
35Q35MSC
76D27MSC
76D03MSC
76D05MSC
76D45MSC
Keywords:Two-phase flow, free boundary value problems, diffuse interface model, mixtures of viscous fluids, Cahn-Hilliard equation, inhomogeneous Navier-Stokes equation
Subjects:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:18 Apr 2011 06:23
Last Modified:13 Mar 2014 17:17
Item ID:20532
Owner Only: item control page

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