Averaging, slaving and balance dynamics in a simple atmospheric model
type: Item
instance of: scholarly article
title: Averaging, slaving and balance dynamics in a simple atmospheric model
zbMATH Open document ID: 0955.37011
DOI: 10.1016/S0167-2789(00)00022-1
author: D. Wirosoetisno
author: Theodore G. Shepherd
published in: Physica D
publication date: 2000-10-08T00:00:00Z
review text: The paper deals with a model of large-scale atmospheric motion, with a slow and fast components representing vortical motion and (inertia-) gravity waves, respectively. The authors find adiabatic invariants that drift slowly in time. This drift is consistent with a random-walk behaviour at a speed which qualitatively scales, even for modest time scale separations. As expected, the existence of an adiabatic invariant was found numerically to correspond to an exponentially small Lyapunov exponent.
Mathematics Subject Classification ID: 37C35
Mathematics Subject Classification ID: 37N10
Mathematics Subject Classification ID: 34C29
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 76B60
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 1514727
zbMATH Keywords: averaging
zbMATH Keywords: balance dynamics
zbMATH Keywords: scale separation
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: random walk
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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full work available at URL: s0167-2789(00)00022-1
OpenAlex ID: W2137426987
description: scientific article; zbMATH DE number 1514727