Collapse of generalized Euler and surface quasigeostrophic point vortices.

  title={Collapse of generalized Euler and surface quasigeostrophic point vortices.},
  author={Gualtiero Badin and Anna M. Barry},
  journal={Physical review. E},
  volume={98 2-1},
Point-vortex models are presented for the generalized Euler equations, which are characterized by a fractional Laplacian relation between the active scalar and the stream function. Special focus is given to the case of the surface quasigeostrophic (SQG) equations, for which the existence of finite-time singularities is still a matter of debate. Point-vortex trajectories are expressed using Nambu dynamics. The formulation is based on a noncanonical bracket and allows for a geometrical… 

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