On the spectrum of some singular equations in magnetohydrodynamics
type: Item
instance of: scholarly article
title: On the spectrum of some singular equations in magnetohydrodynamics
zbMATH Open document ID: 0572.76105
DOI: 10.1007/BF00653968
author: John A. Adam
published in: Astrophysics and Space Science
publication date: 1985-01-01T00:00:00Z
review text: A class of singular differential equations that often occurs in problems in magnetohydrodynamics, plasma physics, and astrophysics is studied; first by means of the specific and fairly straightforward example of motions in a stratified magnetofluid, and secondly in terms of the nature of the eigenvalue spectrum for the more general class of problems. It is shown that in the absence of discontinuities in the basic profiles, the eigenvalue spectrum is real and continuous, and no discrete spectrum exists. Bounds are obtained on the location of the continuous spectrum.
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 3913989
zbMATH Keywords: real continuous eigenvalue spectrum
zbMATH Keywords: bounds of location of continuous spectrum
zbMATH Keywords: nonexistence of dispersion relation
zbMATH Keywords: ideal Boussinesq fluid
zbMATH Keywords: singular differential equations
zbMATH Keywords: absence of discontinuities
MaRDI profile type: Publication
cites work: Q5558293
cites work: The critical layers and other singular regions in ideal hydrodynamics and magnetohydrodynamics
cites work: Stability of Inviscid Plane Couette Flow
cites work: Stability of an Idealized Atmosphere. I. Discussion of Results
full work available at URL: https://doi.org/10.1007/bf00653968
OpenAlex ID: W2005140522
description: scientific article; zbMATH DE number 3913989