English

A Recurrence Theorem on the Solutions to the 2D Euler Equation

Analysis of PDEs 2007-08-01 v1 Mathematical Physics Dynamical Systems math.MP Fluid Dynamics

Abstract

In this article, I will prove a recurrence theorem which says that any Hs(T2)H^s(\mathbb{T}^2) (s>2) solution to the 2D Euler equation returns repeatedly to an arbitrarily small H0(T2)H^0(\mathbb{T}^2) neighborhood.

Cite

@article{arxiv.0707.4458,
  title  = {A Recurrence Theorem on the Solutions to the 2D Euler Equation},
  author = {Y. Charles Li},
  journal= {arXiv preprint arXiv:0707.4458},
  year   = {2007}
}
R2 v1 2026-06-21T09:03:07.054Z