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

Abstract

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 $\kappa \ge 0$ which may vanish.

22 pages

References in corpus (1)

• Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data

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