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.
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)|
|Series of the University of Regensburg:||Preprintreihe der Fakultät Mathematik|
|Institutions:||Mathematics > Prof. Dr. Helmut Abels|
|Keywords:||Two-phase flow, Navier-Stokes system, Free boundary problems, Mullins-Sekerka equation, convergence to equilibria|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|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|