Existence of distributional solutions of a modified surface quasi-geostrophic equation is proved 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.
mSQG equations in distributional spaces and point vortex approximation
Flandoli F.;Saal M.
2019
Abstract
Existence of distributional solutions of a modified surface quasi-geostrophic equation is proved 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.File in questo prodotto:
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