Instability of helical magnetohydrodynamic flows
type: Item
instance of: scholarly article
title: Instability of helical magnetohydrodynamic flows
zbMATH Open document ID: 0963.76036
DOI: 10.1007/BF02698761
author: Yu. G. Gubarev
published in: Fluid Dynamics
publication date: 2001-06-14T00:00:00Z
review text: Using the direct Lyapunov method, the author obtains a necessary and sufficient condition for linear stability of a particular class of symmetric helical steady-state flows of ideal incompressible perfect conducting fluid in magnetic field with respect to small perturbations with the same symmetry. The author gives an example of a steady state flow and initial perturbations whose linear time evolution can be described by means of the estimates obtained.
reviewed by: Iuliana Oprea
Mathematics Subject Classification ID: 76E25
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 1465950
zbMATH Keywords: linear hydrodmagnetic stability
zbMATH Keywords: small symmetric perturbations
zbMATH Keywords: necessary and sufficient condition for linear stability
zbMATH Keywords: helical steady-state flows
zbMATH Keywords: direct Lyapunov method
MaRDI profile type: Publication
cites work: Q5801898
cites work: Q3848561
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cites work: The conditions for the nonlinear stability of plane and helical MHD flows
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description: scientific article; zbMATH DE number 1465950