Geodesic
On a free boundary problem of viscous incompressible flows
Yasunori Maekawa1
1Hokkaido University, Sapporo, Japan
Interfaces and free boundaries, Tome 9 (2007) no. 4, pp. 549-589

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DOI

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 tangential direction to the interface.
DOI : 10.4171/ifb/176
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Yasunori Maekawa  1

1 Hokkaido University, Sapporo, Japan 
Yasunori Maekawa. On a free boundary problem of viscous incompressible flows. Interfaces and free boundaries, Tome 9 (2007) no. 4, pp. 549-589. doi: 10.4171/ifb/176
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     title = {On a free boundary problem of viscous incompressible flows},
     journal = {Interfaces and free boundaries},
     pages = {549--589},
     year = {2007},
     volume = {9},
     number = {4},
     doi = {10.4171/ifb/176},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/176/}
}
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