mSQG equations in distributional spaces and point vortex approximation

  • Franco FlandoliEmail author
  • Martin Saal


Existence of distributional solutions of a modified surface quasi-geostrophic equation is proved for \(\mu \)-almost every initial condition, where \(\mu \) is a suitable Gaussian measure. The result is the by-product of existence of a stationary solution with white noise marginal. This solution is constructed as a limit of random point vortices, uniformly distributed and rescaled according to the Central Limit Theorem.

Mathematics Subject Classification

Primary 60H15 Secondary 35Q86 35R60 76B03 



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Authors and Affiliations

  1. 1.Scuola Normale Superiore di Pisa Classe di ScienzePisaItaly
  2. 2.Department of MathematicsTU DarmstadtDarmstadtGermany

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