Limit Theorems and Fluctuations for Point Vortices of Generalized Euler Equations
Research output: Contribution to journal › Article
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.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Statistical Physics|
|Publication status||Published - 2021|