Self-similar motion of three point vortices

@article{Aref2010SelfsimilarMO,
  title={Self-similar motion of three point vortices},
  author={Hassan Aref},
  journal={Physics of Fluids},
  year={2010},
  volume={22},
  pages={057104}
}
  • H. Aref
  • Published 19 May 2010
  • Physics, Mathematics
  • Physics of Fluids
One of the counter-intuitive results in the three-vortex problem is that the vortices can converge on and meet at a point in a finite time for certain sets of vortex circulations and for certain initial conditions. This result was already included in Grobli’s thesis of 1877 and has since been elaborated by several authors. It arises from an investigation of motions where the vortex triangle retains its shape for all time, but not its size. We revisit these self-similar motions, develop a new… 

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