Motion of cylindrically-symmetrical relativistic shock waves
type: Item
instance of: scholarly article
title: Motion of cylindrically-symmetrical relativistic shock waves
zbMATH Open document ID: 0608.76129
DOI: 10.1007/BF00644577
author: Chang Chun Shi
published in: Astrophysics and Space Science
publication date: 1986-01-01T00:00:00Z
review text: Some observed astrophysical phenomena such as the blast of a supernova suggest the necessity of study of the motion of shock waves in a relativistic fluid flow in the presence of a magnetic field. This paper deals with the motion of special relativistic shock wave which propagates from the center line outwardly after an explosion with the assumption that the magnetic field which has an axial component only. Similarity solutions which depend on the parameter \(\xi =r/t\) are constructed. Two special cases are then studied in detail. In the first case, there is an ultra-relativistic fluid in front of the shock and in the second case, there is a cold fluid in front of the shock.
Mathematics Subject Classification ID: 76Y05
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 85A05
zbMATH DE Number: 3984902
zbMATH Keywords: blast
zbMATH Keywords: supernova
zbMATH Keywords: shock waves
zbMATH Keywords: relativistic fluid
zbMATH Keywords: magnetic field
zbMATH Keywords: relativistic shock wave
zbMATH Keywords: explosion
zbMATH Keywords: Similarity solutions
zbMATH Keywords: ultra- relativistic fluid
zbMATH Keywords: cold fluid
MaRDI profile type: Publication
cites work: Fluid dynamics of relativistic blast waves
cites work: Propagation of plane relativistic shock waves
cites work: Propagation of cylindrical relativistic shock waves in the presence of a magnetic field
cites work: Similarity Analysis for Relativistic Flow in One Dimension
cites work: Nonplanar Relativistic Flow
description: scientific article; zbMATH DE number 3984902