We consider a dynamical system coming from the 2D Euler equations called the point-vortex dynamics. The system only makes sense as long as vortices stay far from each other and far from the boundary of the domain. Although collisions may occur, we prove that the set of initial data leading to a collapse has a Lebesgue measure equal to 0. In other words, for almost every initial data, the point vortex has a global solution. This result was already known in the plane (with conditions on the masses) and in the unit disk. We will see how to extend it to general bounded domains.
