  This work concerns the global well-posedness problem for the 3D axisymmetric
viscous Boussinesq system with critical rough initial data. More precisely, we
aim to extending our recent result \cite{Hanachi-Houamed-Zerguine} to the case
of initial data of measure type. To this end, we should first develop some
notions of axisymmetric measures in a general context, then, in the spirit of
\cite{Gallay-Sverak}, we prove the global wellposedness result provided that
the atomic parts of the initial measures are small enough.
