Burst of Point Vortices and Non-uniqueness of 2D Euler Equations

  title={Burst of Point Vortices and Non-uniqueness of 2D Euler Equations},
  author={Francesco Grotto and Umberto Pappalettera},
  journal={Archive for Rational Mechanics and Analysis},
We give a rigorous construction of solutions to the Euler point vortices system in which three vortices burst out of a single one in a configuration of many vortices, or equivalently that there exist configurations of arbitrarily many vortices in which three of them collapse in finite time. As an intermediate step, we show that well-known self-similar bursts and collapses of three isolated vortices in the plane persist under a sufficiently regular external perturbation. We also discuss how our… 
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