Taoufik Hmidi, Frederic Rousset
Published 2009-12-07Version 1
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 $\kappa \geq 0$ which may vanish.
Global well-posedness for the Euler-Boussinesq system with axisymmetric data
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Global well-posedness for Schrödinger equation with derivative in $H^{1/2}(\R)$
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