Global well-posedness for the Navier–Stokes–Boussinesq system with axisymmetric data

Hmidi, Taoufik ; Rousset, Frédéric

Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010), p. 1227-1246 / Harvested from Numdam

Résumé

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 $ \kappa ⩾0$ which may vanish.

Détail

Publié le : 2010-01-01

Zbl 1200.35229

DOI : https://doi.org/10.1016/j.anihpc.2010.06.001

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