Motion of three vortices near collapse

@article{Leoncini2000MotionOT,
  title={Motion of three vortices near collapse},
  author={Xavier Leoncini and Leonid V. Kuznetsov and George Zaslavsky},
  journal={Physics of Fluids},
  year={2000},
  volume={12},
  pages={1911-1927}
}
A system of three point vortices in an unbounded plane has a special family of self-similarly contracting or expanding solutions: during the motion, the vortex triangle remains similar to the original one, while its area decreases (grows) at a constant rate. A contracting configuration brings three vortices to a single point in a finite time; this phenomenon known as vortex collapse is of principal importance for many-vortex systems. Dynamics of close-to-collapse vortex configurations depends… 

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