• Corpus ID: 235435975

2D point vortex dynamics in bounded domains: global existence for almost every initial data

  title={2D point vortex dynamics in bounded domains: global existence for almost every initial data},
  author={Martin Donati},
In this paper, we prove that in bounded planar domains with C2,α boundary, for almost every initial condition in the sense of the Lebesgue measure, the point vortex system has a global solution, meaning that there is no collision between two pointvortices or with the boundary. This extends the work previously done in [13] for the unit disk. The proof requires the construction of a regularized dynamics that approximates the real dynamics and some strong inequalities for the Green’s function of… 

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