Stability of plane MHD shock waves in an ideal gas
type: Item
instance of: scholarly article
title: Stability of plane MHD shock waves in an ideal gas
zbMATH Open document ID: 0788.76056
DOI: 10.1007/BF01056793
author: O. L. Filippova
published in: Fluid Dynamics
publication date: 1994-03-20T00:00:00Z
review text: For the first time we detected the instability of fast MHD shocks in cases in which the magnetic field ahead of the wave is almost normal and the initial gas dynamic pressure is several times smaller than the magnetic pressure. Then waves that rotate the field through a near- maximum angle are unstable. Slow MHD shocks are unstable over a broad range of the governing parameters. Increasing the initial gas dynamic pressure suppresses the instability of slow waves ahead of which the angle between the field and the normal is small or close to \(\pi/2\). However, there is an interval of initial angles of inclination of the field on which for a fixed wave intensity the instability cannot be suppressed by an arbitrary increase in the initial gas dynamic pressure.
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 515038
zbMATH Keywords: slow MHD shocks
zbMATH Keywords: fast MHD shocks
zbMATH Keywords: initial gas dynamic pressure
zbMATH Keywords: magnetic pressure
zbMATH Keywords: initial angles of inclination
MaRDI profile type: Publication
cites work: Stability of Step Shocks
cites work: Stability of Plane Magnetohydrodynamic Shocks
cites work: Stability of Relativistic Magnetohydrodynamic Shock Waves
cites work: A study of discontinuity surfaces with energy release (or absorption) in magnetohydrodynamics
cites work: Hydromagnetic Stability at a Fluid Velocity Discontinuity between Compressible Fluids
full work available at URL: https://doi.org/10.1007/bf01056793
OpenAlex ID: W2008276016
description: scientific article; zbMATH DE number 515038