A Recurrence Theorem on the Solutions to the 2D Euler Equation
classification
🧮 math.AP
math-phmath.DSmath.MPphysics.flu-dyn
keywords
equationeulermathbbrecurrencetheoremarbitrarilyarticleneighborhood
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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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