Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 200-218
Citer cet article
V. A. Solonnikov. The solvability of the second initial boundary-value problem for 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. 200-218. http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a14/
@article{ZNSL_1977_69_a14,
author = {V. A. Solonnikov},
title = {The solvability of the second initial boundary-value problem for the linear, time-dependent system of {Navier{\textendash}Stokes} equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {200--218},
year = {1977},
volume = {69},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a14/}
}
TY - JOUR
AU - V. A. Solonnikov
TI - The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier–Stokes equations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 200
EP - 218
VL - 69
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a14/
LA - ru
ID - ZNSL_1977_69_a14
ER -
%0 Journal Article
%A V. A. Solonnikov
%T The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier–Stokes equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 200-218
%V 69
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a14/
%G ru
%F ZNSL_1977_69_a14
In a class of functions with Holder-continuous derivatives unique solvability is is proved for the problem of determining a solution of the linear, time-dependent system of Navier–Stokes equations with boundary data $\sum^3_{j=1}T_{ij}n_j$, $i=1,2,3$, where $n_j$ are the direction cosines of the exterior normal to the boundary and $T_{ij}$ are the components of the stress tensor.
