Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow
type: Item
instance of: scholarly article
title: Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow
zbMATH Open document ID: 0993.37034
author: Stephen Wiggins
author: Naresh K. Malhotra
published in: Journal of Nonlinear Science
publication date: 2002-09-16T00:00:00Z
review text: The paper is devoted to applications of general theory of dynamical systems to studying the qualitative behaviour of fluid flows. The authors consider a two-dimensional aperiodically time-dependent flow of fluid and investigate how the hyperbolic trajectories of the flow and their stable and unstable manifolds act as mediators of transport. A numerical method for computing stable and unstable manifolds is developed and applied to several problems. Lobe dynamics, Rossby waves, etc. are investigated. Some new transport phenomena are found through numerical simulation.
Mathematics Subject Classification ID: 37N10
Mathematics Subject Classification ID: 76F20
Mathematics Subject Classification ID: 76B65
zbMATH DE Number: 1210603
zbMATH Keywords: dynamical systems
zbMATH Keywords: hyperbolic trajectories
zbMATH Keywords: flow dynamics
zbMATH Keywords: Lobe dynamics
zbMATH Keywords: Lagrangian transport
zbMATH Keywords: Rossby waves
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
full work available at URL: s003329900057
OpenAlex ID: W2081611029
DOI: 10.1007/S003329900057
description: scientific article; zbMATH DE number 1210603