Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 34-44
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V. N. Vasil'ev; V. A. Solonnikov. An estimate of the maximum modulus of a solution of the linear, time-dependent system of Navier–Stokes equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 34-44. http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a2/
@article{ZNSL_1977_69_a2,
author = {V. N. Vasil'ev and V. A. Solonnikov},
title = {An estimate of the maximum modulus of a solution of the linear, time-dependent system of {Navier{\textendash}Stokes} equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {34--44},
year = {1977},
volume = {69},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a2/}
}
TY - JOUR
AU - V. N. Vasil'ev
AU - V. A. Solonnikov
TI - An estimate of the maximum modulus of a solution of the linear, time-dependent system of Navier–Stokes equations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 34
EP - 44
VL - 69
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a2/
LA - ru
ID - ZNSL_1977_69_a2
ER -
%0 Journal Article
%A V. N. Vasil'ev
%A V. A. Solonnikov
%T An estimate of the maximum modulus of a solution of the linear, time-dependent system of Navier–Stokes equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 34-44
%V 69
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a2/
%G ru
%F ZNSL_1977_69_a2
It is proved that the maximum modulus of a solution $v(x,t)$ of the initial boundary-value problem for the time-dependent Stokes system with zero boundary data is bounded in terms of the maximum modulus of the initial data with a constant which depends only on the domain.
