Bounds on the ideal MHD stability of line-tied 2-D coronal magnetic fields

P. de Bruyne; A. W. Hood

doi:10.1007/BF00149105

Bounds on the ideal MHD stability of line-tied 2-D coronal magnetic fields

P. de Bruyne, A. W. Hood

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A tractable method for investigating the linear stability of line-tied two-dimensional coronal magnetic fields is introduced. It is based on the Bernstein et al. (1958) energy principle and can be applied to nonisothermal equilibria with gravity, having a translational invariance. A linear force-free field is shown to be completely stable, regardless of the shear. The role of pressure gradients, footpoint displacements, line-tying, and stratification on an isothermal magnetohydrostatic equilibrium is assessed.

Original language	English
Pages (from-to)	241-269
Journal	Solar Physics
Volume	123
DOIs	https://doi.org/10.1007/BF00149105
Publication status	Published - 1 Sept 1989

Keywords

Magnetic Field Configurations
Magnetohydrodynamic Stability
Solar Corona
Solar Magnetic Field
Differential Equations
Force-Free Magnetic Fields
Magnetohydrodynamics
Solar Atmosphere

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10.1007/BF00149105

http://adsabs.harvard.edu/abs/1989SoPh..123..241D

Cite this

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title = "Bounds on the ideal MHD stability of line-tied 2-D coronal magnetic fields",

abstract = "A tractable method for investigating the linear stability of line-tied two-dimensional coronal magnetic fields is introduced. It is based on the Bernstein et al. (1958) energy principle and can be applied to nonisothermal equilibria with gravity, having a translational invariance. A linear force-free field is shown to be completely stable, regardless of the shear. The role of pressure gradients, footpoint displacements, line-tying, and stratification on an isothermal magnetohydrostatic equilibrium is assessed.",

keywords = "Magnetic Field Configurations, Magnetohydrodynamic Stability, Solar Corona, Solar Magnetic Field, Differential Equations, Force-Free Magnetic Fields, Magnetohydrodynamics, Solar Atmosphere",

author = "{de Bruyne}, P. and Hood, {A. W.}",

year = "1989",

month = sep,

day = "1",

doi = "10.1007/BF00149105",

language = "English",

volume = "123",

pages = "241--269",

journal = "Solar Physics",

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TY - JOUR

T1 - Bounds on the ideal MHD stability of line-tied 2-D coronal magnetic fields

AU - de Bruyne, P.

AU - Hood, A. W.

PY - 1989/9/1

Y1 - 1989/9/1

N2 - A tractable method for investigating the linear stability of line-tied two-dimensional coronal magnetic fields is introduced. It is based on the Bernstein et al. (1958) energy principle and can be applied to nonisothermal equilibria with gravity, having a translational invariance. A linear force-free field is shown to be completely stable, regardless of the shear. The role of pressure gradients, footpoint displacements, line-tying, and stratification on an isothermal magnetohydrostatic equilibrium is assessed.

AB - A tractable method for investigating the linear stability of line-tied two-dimensional coronal magnetic fields is introduced. It is based on the Bernstein et al. (1958) energy principle and can be applied to nonisothermal equilibria with gravity, having a translational invariance. A linear force-free field is shown to be completely stable, regardless of the shear. The role of pressure gradients, footpoint displacements, line-tying, and stratification on an isothermal magnetohydrostatic equilibrium is assessed.

KW - Magnetic Field Configurations

KW - Magnetohydrodynamic Stability

KW - Solar Corona

KW - Solar Magnetic Field

KW - Differential Equations

KW - Force-Free Magnetic Fields

KW - Magnetohydrodynamics

KW - Solar Atmosphere

U2 - 10.1007/BF00149105

DO - 10.1007/BF00149105

M3 - Article

SN - 0038-0938

VL - 123

SP - 241

EP - 269

JO - Solar Physics

JF - Solar Physics

ER -

Bounds on the ideal MHD stability of line-tied 2-D coronal magnetic fields

Abstract

Keywords

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