Geodesic
A free-boundary problem for Stokes equations: classical solutions
Stanislav Antontsev1 ; Anvarbek Meirmanov2 ; Vadim Yurinsky3
1Universidade de Lisboa, Portugal
2Belgorod State University, Russian Federation
3Universidade da Beira Interior, Covilhã, Portugal
Interfaces and free boundaries, Tome 2 (2000) no. 4, pp. 413-424

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DOI

The problem considered is that of evolution of the free boundary separating two immiscible viscous fluids with different constant densities. The motion is described by the Stokes equations driven by the gravity force. For flows in a bounded domain Ω⊂Rn, n≥2, we prove existence and uniqueness of classical solutions, and concentrate on the study of properties of the moving boundary separating the two fluids.
DOI : 10.4171/ifb/27
Classification : 46-XX, 60-XX
Mots-clés : free-boundary problem, immiscible viscous fluids

Stanislav Antontsev  1   ; Anvarbek Meirmanov  2   ; Vadim Yurinsky  3

1 Universidade de Lisboa, Portugal
2 Belgorod State University, Russian Federation
3 Universidade da Beira Interior, Covilhã, Portugal 
Stanislav Antontsev; Anvarbek Meirmanov; Vadim Yurinsky. A free-boundary problem for Stokes equations: classical solutions. Interfaces and free boundaries, Tome 2 (2000) no. 4, pp. 413-424. doi: 10.4171/ifb/27
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     title = {A free-boundary problem for {Stokes} equations: classical solutions},
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