Recurrence in 2D Inviscid Channel Flow
Abstract
I will prove a recurrence theorem which says that any Hs (s>2) solution to the 2D inviscid channel flow returns repeatedly to an arbitrarily small H0 neighborhood. Periodic boundary condition is imposed along the stream-wise direction. The result is an extension of an early result of the author [Li, 09] on 2D Euler equation under periodic boundary conditions along both directions.
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