2018/12/13 by Franco Flandoli, Flandoli, Franco, Martin Saal +1
Mathematics · #35R60 #76B03 #Central limit theorem #FOS: Mathematics #Gaussian #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Limit (mathematics) #Mathematical analysis #Mathematics #Meteorology #Navier-Stokes equation solutions #Physics #Point (geometry) #Probability (math.PR) #Product (mathematics) #Product measure #Quantum mechanics #Statistics #Vortex #White noise #math.PR #msc:35Q86 #msc:35R60 #msc:60H15 #msc:76B03 #primary 60H15 #secondary 35Q86
paper · pdf · doi:10.48550/arxiv.1812.05361
22 pp
openalex publication_date 2018/12/13 · arxiv created 2019/04/16 · arxiv updated 2019/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.