Abstract
We shall discuss a free boundary problem for viscous incompressible fluids which is motivated by the phase transition of materials in a flowing fluid. The problem is formulated as the coupled Stokes/mean curvature equations. Our model is also regarded as the relaxation of a two-phase free boundary problem with surface tension on the interface. We shall construct a unique time-local solution of the problem by establishing the optimal regularity of the velocity field in the tangential directions to the interface.
| Original language | English |
|---|---|
| Pages (from-to) | 549-589 |
| Number of pages | 41 |
| Journal | Interfaces and Free Boundaries |
| Volume | 9 |
| Issue number | 4 |
| Publication status | Published - 2007 |
| Externally published | Yes |
ASJC Scopus subject areas
- Surfaces and Interfaces