Global well-posedness for the Navier–Stokes–Boussinesq system with axisymmetric data
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 5, pp. 1227-1246
In this paper we prove the global well-posedness for a three-dimensional Boussinesq system with axisymmetric initial data. This system couples the Navier–Stokes equation with a transport-diffusion equation governing the temperature. Our result holds uniformly with respect to the heat conductivity coefficient which may vanish.
@article{AIHPC_2010__27_5_1227_0,
author = {Hmidi, Taoufik and Rousset, Fr\'ed\'eric},
title = {Global well-posedness for the {Navier{\textendash}Stokes{\textendash}Boussinesq} system with axisymmetric data},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {1227--1246},
year = {2010},
publisher = {Elsevier},
volume = {27},
number = {5},
doi = {10.1016/j.anihpc.2010.06.001},
zbl = {1200.35229},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2010.06.001/}
}
TY - JOUR AU - Hmidi, Taoufik AU - Rousset, Frédéric TI - Global well-posedness for the Navier–Stokes–Boussinesq system with axisymmetric data JO - Annales de l'I.H.P. Analyse non linéaire PY - 2010 SP - 1227 EP - 1246 VL - 27 IS - 5 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2010.06.001/ DO - 10.1016/j.anihpc.2010.06.001 LA - en ID - AIHPC_2010__27_5_1227_0 ER -
%0 Journal Article %A Hmidi, Taoufik %A Rousset, Frédéric %T Global well-posedness for the Navier–Stokes–Boussinesq system with axisymmetric data %J Annales de l'I.H.P. Analyse non linéaire %D 2010 %P 1227-1246 %V 27 %N 5 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2010.06.001/ %R 10.1016/j.anihpc.2010.06.001 %G en %F AIHPC_2010__27_5_1227_0
Hmidi, Taoufik; Rousset, Frédéric. Global well-posedness for the Navier–Stokes–Boussinesq system with axisymmetric data. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 5, pp. 1227-1246. doi: 10.1016/j.anihpc.2010.06.001
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