  We propose a system of equations with nonlocal flux in two space dimensions
which is closely modeled after the 2D Boussinesq equations in a hyperbolic flow
scenario. Our equations involve a simplified vorticity stretching term and
Biot-Savart law and provide insight into the underlying intrinsic mechanisms of
singularity formation. We prove stable, controlled finite time blowup involving
upper and lower bounds on the vorticity up to the time of blowup for a wide
class of initial data.
