Essential spectrum of linearized operator for MHD plasma in cylindrical region
type: Item
instance of: scholarly article
title: Essential spectrum of linearized operator for MHD plasma in cylindrical region
zbMATH Open document ID: 0622.76133
DOI: 10.1007/BF00944961
author: Takashi Kako
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1987-01-01T00:00:00Z
review text: Properties of the force operator are considered for the case of a cylindrical plasma surrounded by an infinitely conducting wall. The operator is Fourier analyzed and an adequate treatment of related boundary conditions is performed. The obtained operator spectra for the Alfven and the slow magnetoacoustic waves are discussed. Properties of the force operator are considered for the case of a cylindrical plasma surrounded by an infinitely conducting wall. The operator is Fourier analyzed and an adequate treatment of related boundary conditions is performed. The obtained operator spectra for the Alfven and the slow magnetoacoustic waves are discussed.
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 82D10
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 4010146
zbMATH Keywords: Alfven waves
zbMATH Keywords: force operator
zbMATH Keywords: cylindrical plasma
zbMATH Keywords: infinitely conducting wall
zbMATH Keywords: operator spectra
zbMATH Keywords: slow magnetoacoustic waves
MaRDI profile type: Publication
cites work: An energy principle for hydromagnetic stability problems
cites work: Q3887157
cites work: Spectrum of ideal magnetohydrodynamics of axisymmetric toroidal systems
cites work: Magnetofluid-Dynamic Spectrum and Low Shear Stability
cites work: The essential spectrum of elliptic systems of mixed order
cites work: Q3251257
cites work: On the absolutely continuous spectrum of MHD plasma confined in the flat torus
cites work: On the essential spectrum of MHD plasma in toroidal region
cites work: Approximation of the spectrum of a non-compact operator given by the magnetohydrodynamic stability of a plasma
cites work: Q4742447
cites work: Q5531981
description: scientific article; zbMATH DE number 4010146