Barriers to transport in aperiodically time-dependent two-dimensional velocity fields: Nekhoroshev's theorem and "Nearly Invariant" tori

In this paper we consider fluid transport in two-dimensional flows from the dynamical systems point of view, with the focus on elliptic behaviour and aperiodic and finite time dependence. We give an overview of previous work on general nonautonomous and finite time vector fields with the purpose of...

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Bibliographic Details
Main Authors: S. Wiggins, A. M. Mancho
Format: Article
Language:English
Published: Copernicus Publications 2014-02-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/21/165/2014/npg-21-165-2014.pdf