Abels, Helmut and Wilke, Mathias (2013) Well-posedness and qualitative behaviour of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system. INTERFACES AND FREE BOUNDARIES, 15 (1). pp. 39-75. ISSN 1463-9963, 1463-9971
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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 infinity, the velocity field converges to zero and the interface converges to a sphere at an exponential rate.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EQUATIONS; SOBOLEV; SPACES; OPERATOR; FLUIDS; BESOV; SHEAR; Two-phase flow; Navier-Stokes system; Free boundary problems; Mullins-Sekerka equation; convergence to equilibria |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Apr 2020 07:17 |
| Last Modified: | 29 Apr 2020 07:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/17416 |
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