Nonlocal overdetermined boundary value problem for stationary Navier–Stokes equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 1056-1061
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A stationary system of Stokes and Navier–Stokes equations describing the flow of a homogeneous incompressible fluid in a bounded domain is considered. The vector of the flow velocity and a finite number of nonlocal conditions are defined at a part of the domain boundary. It is proved that, in the linear case, the problem has at least one stable solution. In the nonlinear case, the local solvability of the problem is proved.
@article{ZVMMF_2008_48_6_a9,
author = {A. A. Illarionov},
title = {Nonlocal overdetermined boundary value problem for stationary {Navier{\textendash}Stokes} equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1056--1061},
publisher = {mathdoc},
volume = {48},
number = {6},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a9/}
}
TY - JOUR AU - A. A. Illarionov TI - Nonlocal overdetermined boundary value problem for stationary Navier–Stokes equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2008 SP - 1056 EP - 1061 VL - 48 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a9/ LA - ru ID - ZVMMF_2008_48_6_a9 ER -
%0 Journal Article %A A. A. Illarionov %T Nonlocal overdetermined boundary value problem for stationary Navier–Stokes equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2008 %P 1056-1061 %V 48 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a9/ %G ru %F ZVMMF_2008_48_6_a9
A. A. Illarionov. Nonlocal overdetermined boundary value problem for stationary Navier–Stokes equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 1056-1061. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a9/