A Global Theory of Steady Vortex Rings in an Ideal Fluid

@inproceedings{FRAENKEL2007AGT,
  title={A Global Theory of Steady Vortex Rings in an Ideal Fluid},
  author={BY L. E. FRAENKEL and M. S. Berger},
  year={2007}
}
The question of whether the equations governing the motion of an inviscid, incompressible fluid admit solutions representing steady vortex rings has not been studied widely, despite the central place of such rings in the theory of vortex motion initiated by Helmholtz [1] in 1858. Hill [2] discovered in 1894 an explicit particular solution for which the 'ring' is actually a ball in R. More recently, there have appeared local existence proofs for (a) steady rings of small cross-section [3], [4… CONTINUE READING
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