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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 velocity field converges to zero and the interface converges to a
sphere at an exponential rate.


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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
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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