Vortical flows and canonical equations of motion of a magnetizable, perfectly conducting fluid
type: Item
instance of: scholarly article
title: Vortical flows and canonical equations of motion of a magnetizable, perfectly conducting fluid
zbMATH Open document ID: 0628.76111
DOI: 10.1016/0021-8928(86)90137-1
author: V. B. Gorskij
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: The classical Kelvin's circulation theorem and Helmholtz theory on the motion of vortex lines with the fluid and conservation of the strength of vortex tubes are generalized to the case of the vortical adiabatic flows of a magnetizable, perfectly conducting fluid. Canonical variables are found and canonical Hamiltonian equations of motion are obtained.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 70Sxx
Mathematics Subject Classification ID: 82D10
zbMATH DE Number: 4022944
zbMATH Keywords: Kelvin's circulation
zbMATH Keywords: Helmholtz theory
zbMATH Keywords: motion of vortex lines
zbMATH Keywords: vortex tubes
zbMATH Keywords: vortical adiabatic flows
zbMATH Keywords: magnetizable, perfectly conducting fluid
zbMATH Keywords: canonical Hamiltonian equations
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90137-1
OpenAlex ID: W2042980170
cites work: Q5732396
cites work: A variational principle in the hydromechanics of an isotropically magnetizable medium
cites work: Q3846798
cites work: Q3323328
description: scientific article; zbMATH DE number 4022944