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

URN to cite this document:
urn:nbn:de:bvb:355-epub-234091
Abels, Helmut ; Wilke, Mathias
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Date of publication of this fulltext: 07 Feb 2012 09:48


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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