Year: 2018
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Flandoli, Franco, Saal, Martin
Institutions: Scuola Normale Superiore, Technische Universität Darmstadt
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2953165573