Effects of gyroviscosity and Hall currents on the stability of a stratified rotating self-gravitating plasma
type: Item
instance of: scholarly article
title: Effects of gyroviscosity and Hall currents on the stability of a stratified rotating self-gravitating plasma
zbMATH Open document ID: 0553.76096
DOI: 10.1007/BF00661154
author: O. M. Opere
author: P. K. Bhatia
published in: Astrophysics and Space Science
publication date: 1983-01-01T00:00:00Z
review text: The authors carry out a linear stability analysis for a rotating, stratified, self-gravitating plasma. They consider a plane-parallel layer of fluid which rotates about a vertical axis in the presence of a vertical magnetic field. They include the effects of a finite Larmor radius by including a gyroviscous term in the magnetic induction equation. The basic state pressure, density and gravitational potential are functions of the vertical coordinate only. The perturbation velocity and magnetic field are both taken to be solenoidal and the upper and lower boundaries are assumed to be free surfaces. They use a variational method to obtain the dispersion relation for the problem. Their solutions indicate that gyroviscosity and the Coriolis force are stabilizing while Hall currents have a destabilizing influence.
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 76E25
Mathematics Subject Classification ID: 76E20
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 85A30
zbMATH DE Number: 3882125
zbMATH Keywords: linear stability analysis
zbMATH Keywords: rotating, stratified, self-gravitating plasma
zbMATH Keywords: gyroviscosity
zbMATH Keywords: Hall currents
MaRDI profile type: Publication
cites work: Magnetohydrodynamic Equations for Finite Larmor Radius
cites work: Self-Gravitational Instability of a Fluid Layer with Finite Resistivity
full work available at URL: https://doi.org/10.1007/bf00661154
OpenAlex ID: W2014466237
description: scientific article; zbMATH DE number 3882125