Recurrence in 2D Inviscid Channel Flow

Details Recurrence in 2D Inviscid Channel Flow Recurrence in 2D Inviscid Channel Flow

2010-09-08

arxiv.org/abs/1009.1576v1

Mathematics

Analysis of PDEs

Scientific paper

I will prove a recurrence theorem which says that any $H^s$ ($s>2$) solution to the 2D inviscid channel flow returns repeatedly to an arbitrarily small $H^0$ 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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