  We consider the point vortex model corresponding to the modified Surface
Quasi-Geostrophic (mSQG) equations on the two dimensional torus. It is known
that this model is well posed for almost every initial conditions. We show
that, when the system is perturbed by a certain space-dependent noise, it
admits a unique global solution for any initial configuration. We also present
an explicit example for the deterministic system where three different point
vortices collapse.
