Limit theorems and fluctuations for point vortices of generalized Euler equations
Probability
2018-10-31 v1 Mathematical Physics
Analysis of PDEs
math.MP
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.
Cite
@article{arxiv.1810.12706,
title = {Limit theorems and fluctuations for point vortices of generalized Euler equations},
author = {Carina Geldhauser and Marco Romito},
journal= {arXiv preprint arXiv:1810.12706},
year = {2018}
}