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Well-posedness and qualitative behavior of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system

Abels, Helmut and Wilke, Mathias (2011) Well-posedness and qualitative behavior of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system. Preprintreihe der Fakultät Mathematik 36/2011, Working Paper.

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Abstract

We consider a two-phase problem for two incompressible, viscous and immiscible fluids which are separated by a sharp interface. The problem arises as a sharp interface limit of a diffuse interface model. We present results on local existence of strong solutions and on the long-time behavior of solutions which start close to an equilibrium. To be precise, we show that as time tends to infnity, the ...

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Item Type:Monograph (Working Paper)
Date:2011
Institutions:Mathematics > Prof. Dr. Helmut Abels
Classification:
NotationType
35R35MSC
35Q30MSC
76D27MSC
76D45MSC
76T99MSC
Keywords:Two-phase flow, Navier-Stokes system, Free boundary problems, Mullins-Sekerka equation, convergence to equilibria
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:07 Feb 2012 09:48
Last Modified:13 Mar 2014 18:34
Item ID:23409
Owner Only: item control page
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