Recurrence in 2D Inviscid Channel Flow
Analysis of PDEs
2010-09-09 v1 Mathematical Physics
Dynamical Systems
math.MP
Chaotic Dynamics
Fluid Dynamics
Abstract
I will prove a recurrence theorem which says that any () solution to the 2D inviscid channel flow returns repeatedly to an arbitrarily small 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.
Keywords
Cite
@article{arxiv.1009.1576,
title = {Recurrence in 2D Inviscid Channel Flow},
author = {Y. Charles Li},
journal= {arXiv preprint arXiv:1009.1576},
year = {2010}
}