Recurrence in 2D Inviscid Channel Flow

Abstract

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.

References in corpus (1)

• The Poincaré Recurrence Problem of Inviscid Incompressible Fluids