Geodesic
Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 14, Tome 140 (1984), pp. 179-186 Cet article a éte moissonné depuis la source Math-Net.Ru

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The initial boundary-value problem for the Navier–Stokes equation describing the flow of a viscous, incompressible capillary fluid bounded only by a free surface is considered. At the initial time the region occupied by the fluid and the velocity field of the fluid are given. A theorem is formulated regarding the unique solvability of the problem for a finite time interval, and a model linearized problem in a half space is obtained. 
@article{ZNSL_1984_140_a16,
     author = {V. A. Solonnikov},
     title = {Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {179--186},
     year = {1984},
     volume = {140},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a16/}
}
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V. A. Solonnikov. Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 14, Tome 140 (1984), pp. 179-186. http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a16/