Mathematics > Probability
[Submitted on 13 Dec 2018 (v1), last revised 16 Apr 2019 (this version, v2)]
Title:mSQG equations in distributional spaces and point vortex approximation
View PDFAbstract:Existence of distributional solutions of a modified Surface Quasi-Geostrophic equation (mSQG) is proven 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.
Submission history
From: Martin Saal [view email][v1] Thu, 13 Dec 2018 11:04:07 UTC (19 KB)
[v2] Tue, 16 Apr 2019 09:52:39 UTC (19 KB)
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