2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57917We study the dynamics of 3 point-vortices on the plane for a fluid governed by Euler's equations, concentrating on the case when the moment of inertia is zero. We prove that the only motions that lead to total collisions are self-similar and that there are no binary collisions. Also, we give a regularization of the reduced system around collinear configurations (excluding binary collisions) which smoothes out the dynamics.14 pagesMathematical Physics76B47, 37J99text