Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 147-173
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I. Sh. Mogilevskii. Estimates of solutions of a general initial-boundary value problem for linearized nonstationary Navier–Stokes system in the half-space. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 147-173. http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a12/
@article{ZNSL_1979_84_a12,
author = {I. Sh. Mogilevskii},
title = {Estimates of solutions of a~general initial-boundary value problem for linearized nonstationary {Navier{\textendash}Stokes} system in the half-space},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {147--173},
year = {1979},
volume = {84},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a12/}
}
TY - JOUR
AU - I. Sh. Mogilevskii
TI - Estimates of solutions of a general initial-boundary value problem for linearized nonstationary Navier–Stokes system in the half-space
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1979
SP - 147
EP - 173
VL - 84
UR - http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a12/
LA - ru
ID - ZNSL_1979_84_a12
ER -
%0 Journal Article
%A I. Sh. Mogilevskii
%T Estimates of solutions of a general initial-boundary value problem for linearized nonstationary Navier–Stokes system in the half-space
%J Zapiski Nauchnykh Seminarov POMI
%D 1979
%P 147-173
%V 84
%U http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a12/
%G ru
%F ZNSL_1979_84_a12
In the half-space $x_3>0$ the initial-boundary value problem for the Stokes system in which the boundary conditions are given by means of a 3x4-matrix differential operator is considered. It is proved that under certain restrictions on this operafor the coercive a-priori estimates in the norm $W_p^{2l,l}$ for the solution are valid.
