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mSQG equations in distributional spaces and point vortex approximation
Franco Flandoli, Martin Saal · 2018-12-13 · via math.PR updates on arXiv.org

Existence of distributional solutions of a modified Surface Quasi-Geostrophic equation (mSQG) is proven for $μ$-almost every initial condition, where $μ$ 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.

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