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 ...
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|Item Type:||Monograph (Working Paper)|
|Institutions:||Mathematics > Prof. Dr. Helmut Abels|
|Keywords:||Two-phase flow, Navier-Stokes system, Free boundary problems, Mullins-Sekerka equation, convergence to equilibria|
|Subjects:||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|