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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135254In 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.Analysis of PDEsMathematical PhysicsDynamical SystemsFluid DynamicsA Recurrence Theorem on the Solutions to the 2D Euler Equationtext