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

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

2007-07-30

arxiv.org/abs/0707.4458v1

Mathematics

Analysis of PDEs

Scientific paper

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

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