Limit theorems and fluctuations for point vortices of generalized Euler equations

Carina Geldhauser; Marco Romito

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arXiv · 1810.12706

Limit theorems and fluctuations for point vortices of generalized Euler equations

Carina Geldhauser·Marco Romito

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Abstract

We prove a mean field limit, a law of large numbers and a central limit theorem for a system of point vortices on the 2D torus at equilibrium with positive temperature. The point vortices are formal solutions of a class of equations generalising the Euler equations, and are also known in the literature as generalised inviscid SQG. The mean field limit is a steady solution of the equations, the CLT limit is a stationary distribution of the equations.

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BibTeX RIS

Carina Geldhauser, Marco Romito. 2018-10-30. Limit theorems and fluctuations for point vortices of generalized Euler equations. https://arxiv.org/abs/1810.12706

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