Gyroscopic analog for collective motion of a stratified fluid
type: Item
instance of: scholarly article
title: Gyroscopic analog for collective motion of a stratified fluid
zbMATH Open document ID: 0633.76116
DOI: 10.1016/0022-247X(86)90248-9
author: D. D. Holm
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: A precise analogy is drawn between circulation of a stratified fluid in a gravitational field, and angular momentum of a gyroscope. Collective dynamical equations for a stratified fluid are derived from tensor spatial moments of the fluid motion equation in the Boussinesq approximation. From the collective dynamical equations the gyroscope equations arise as a special case. In two dimensions the gyroscope equations reduce to the pendulum equation, which describes planar convection as ``angular sloshing'' whereby the density gradient vector of the stratified fluid undergoes pendulum motion in a vertical plane.
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 70E05
zbMATH DE Number: 4031324
zbMATH Keywords: circulation of a stratified fluid
zbMATH Keywords: Collective dynamical equations
zbMATH Keywords: tensor spatial moments
zbMATH Keywords: Boussinesq approximation
zbMATH Keywords: gyroscope equations
zbMATH Keywords: angular sloshing
zbMATH Keywords: pendulum motion
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4031324