Stability of shock waves in magnetohydrodynamics
type: Item
instance of: scholarly article
title: Stability of shock waves in magnetohydrodynamics
zbMATH Open document ID: 0712.76059
DOI: 10.1007/BF00971749
author: I. Yu. Druzhinin
author: A. M. Blokhin
published in: Siberian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: We discuss the question of the possibility of the construction of examples of ill-posedness of the Hadamard type for mixed problems on the stability of fast and slow magnetohydrodynamic shock waves. For a polytropic gas we investigate the stability of a fast magnetohydrodynamic shock wave for a weak magnetic field and the stability of a slow magnetohydrodynamic shock wave for a strong magnetic field. For the last case we construct an example of ill-posedness of the Hadamard type, showing the instability of this type of shock wave (under strong magnetic fields).
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76E25
zbMATH DE Number: 4172654
zbMATH Keywords: ill-posedness of the Hadamard type
zbMATH Keywords: mixed problems
zbMATH Keywords: stability of fast and slow magnetohydrodynamic shock waves
zbMATH Keywords: polytropic gas
zbMATH Keywords: weak magnetic field
MaRDI profile type: Publication
cites work: Q3328137
cites work: Q3892456
full work available at URL: https://doi.org/10.1007/bf00971749
OpenAlex ID: W2086267852
description: scientific article; zbMATH DE number 4172654