  The Thermal Quasi-Geostrophic (TQG) equation is a coupled system of equations
that governs the evolution of the buoyancy and the potential vorticity of a
fluid. It has a local in time solution as proved in [4]. In this paper, we give
a criterion for the blow-up of solutions to the Thermal Quasi-Geostrophic
equation, in the spirit of the classical Beale-Kato-Majda blow-up criterion
(cf. [3]) for the solution of the Euler equation.
