Linear and nonlinear stability in resistive magnetohydrodynamics
type: Item
instance of: scholarly article
title: Linear and nonlinear stability in resistive magnetohydrodynamics
zbMATH Open document ID: 0807.76030
author: H. Tasso
published in: Annals of Physics
publication date: 1995-02-28T00:00:00Z
full work available at URL: 00-001M-0000-0027-638D-D
review text: A sufficient stability condition with respect to purely growing modes is derived for resistive magnetohydrodynamics. Its ``nearness'' to necessity is analysed. It is found that for physically reasonable approximations the condition is in some sense necessary and sufficient for stability against all modes. This, together with hermiticity, makes its analytical and numerical evaluation worthwhile for the optimization of magnetic configurations.
Mathematics Subject Classification ID: 76E25
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 640614
zbMATH Keywords: test functions
zbMATH Keywords: stability functional
zbMATH Keywords: basin of attraction
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: necessary stability condition
zbMATH Keywords: sufficient stability condition
zbMATH Keywords: optimization of magnetic configurations
MaRDI profile type: Publication
OpenAlex ID: W2043759096
DOI: 10.1006/APHY.1994.1079
description: scientific article; zbMATH DE number 640614