Regularity criteria to the incompressible axisymmetric Boussinesq equations

Abstract

In this paper, we are devoted to establishing some new regularity criteria of the weak solutions to the incompressible axisymmetric Boussinesq equations, which are independent of density. To this end, we establish some new a priori estimates. To some extent, our result can be thought as a generation of that in Chae and Lee (2002) and an addition of that in Fang et al. (2018).