Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 152 (1986), pp. 137-157
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V. A. Solonnikov. On an unsteady flow of a finite mass of a liquid bounded by a free surface. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 152 (1986), pp. 137-157. http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a11/
@article{ZNSL_1986_152_a11,
author = {V. A. Solonnikov},
title = {On an unsteady flow of a~finite mass of a~liquid bounded by a~free surface},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {137--157},
year = {1986},
volume = {152},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a11/}
}
TY - JOUR
AU - V. A. Solonnikov
TI - On an unsteady flow of a finite mass of a liquid bounded by a free surface
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1986
SP - 137
EP - 157
VL - 152
UR - http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a11/
LA - ru
ID - ZNSL_1986_152_a11
ER -
%0 Journal Article
%A V. A. Solonnikov
%T On an unsteady flow of a finite mass of a liquid bounded by a free surface
%J Zapiski Nauchnykh Seminarov POMI
%D 1986
%P 137-157
%V 152
%U http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a11/
%G ru
%F ZNSL_1986_152_a11
It is proved that the intial-value problem for the Navier–Stokes equations describing the motion of a viscous incompressible liquid bounded by a free surface has the unique solution in an infinite time interval $t>0$, if the domain occupied by the biquid is close to a ball and the velocity vector field is small at the initial moment of time.
