We identify the leading term describing the behavior at large distances of the steady state solutions of the Navier–Stokes equations in 3D exterior domains with vanishing velocity at the spatial infinity.
@article{AIHPC_2011__28_2_303_0,
author = {Korolev, A. and \v{S}ver\'ak, V.},
title = {On the large-distance asymptotics of steady state solutions of the {Navier{\textendash}Stokes} equations in {3D} exterior domains},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {303--313},
publisher = {Elsevier},
volume = {28},
number = {2},
year = {2011},
doi = {10.1016/j.anihpc.2011.01.003},
mrnumber = {2784073},
zbl = {1216.35090},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.anihpc.2011.01.003/}
}
TY - JOUR AU - Korolev, A. AU - Šverák, V. TI - On the large-distance asymptotics of steady state solutions of the Navier–Stokes equations in 3D exterior domains JO - Annales de l'I.H.P. Analyse non linéaire PY - 2011 SP - 303 EP - 313 VL - 28 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2011.01.003/ DO - 10.1016/j.anihpc.2011.01.003 LA - en ID - AIHPC_2011__28_2_303_0 ER -
%0 Journal Article %A Korolev, A. %A Šverák, V. %T On the large-distance asymptotics of steady state solutions of the Navier–Stokes equations in 3D exterior domains %J Annales de l'I.H.P. Analyse non linéaire %D 2011 %P 303-313 %V 28 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2011.01.003/ %R 10.1016/j.anihpc.2011.01.003 %G en %F AIHPC_2011__28_2_303_0
Korolev, A.; Šverák, V. On the large-distance asymptotics of steady state solutions of the Navier–Stokes equations in 3D exterior domains. Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011) no. 2, pp. 303-313. doi : 10.1016/j.anihpc.2011.01.003. http://www.numdam.org/articles/10.1016/j.anihpc.2011.01.003/
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