Vortices and localization in Euler flows

@article{Marchioro1993VorticesAL,
  title={Vortices and localization in Euler flows},
  author={Carlo Marchioro and Mario Pulvirenti},
  journal={Communications in Mathematical Physics},
  year={1993},
  volume={154},
  pages={49-61}
}
We study the time evolution of a non-viscous incompressible two-dimensional fluid when the initial vorticity is concentrated inN small disjoint regions of diameter ε. We prove that the time evolved vorticity is also concentrated inN regions of diameterd, vanishing as ε→0. As a consequence we give a rigorous proof of the validity of the point vortex system. The same problem is examined in the context of the vortex-wave system. 
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