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

Mathematics – Analysis of PDEs

Scientific paper

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22 pages

Scientific paper

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.

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