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

2007/07/30 by Y. Charles Li, Li, Y. Charles · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #Navier-Stokes equation solutions #Quantum chaos and dynamical systems #math-ph #math.AP #math.DS #math.MP #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.0707.4458

arxiv created 2007/07/30 · arxiv updated 2009/12/01

Abstract

In this article, I will prove a recurrence theorem which says that any H^s(\mathbbT²) (s>2) solution to the 2D Euler equation returns repeatedly to an arbitrarily small H⁰(\mathbbT²) neighborhood.

Cited by

• Issues of Chaos and Recurrence in Infinite Dimensions

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