Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 14, Tome 140 (1984), pp. 179-186
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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/
@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/}
}
TY - JOUR
AU - V. A. Solonnikov
TI - Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 179
EP - 186
VL - 140
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a16/
LA - ru
ID - ZNSL_1984_140_a16
ER -
%0 Journal Article
%A V. A. Solonnikov
%T Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 179-186
%V 140
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a16/
%G ru
%F ZNSL_1984_140_a16
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.
