Converging magnetogasdynamic cylindrical shock waves in a uniform atmosphere
type: Item
instance of: scholarly article
title: Converging magnetogasdynamic cylindrical shock waves in a uniform atmosphere
zbMATH Open document ID: 0601.76129
DOI: 10.1007/BF00636549
author: B. George
published in: Astrophysics and Space Science
publication date: 1986-01-01T00:00:00Z
review text: A self-similar solution to the problem of the implosion of a cylindrical shock wave in the presence of a magnetic field has been investigated. A strong shock wave in a cylindrically-symmetric flow travels to the axis of symmetry through a gas of uniform initial density \(\rho_ 0\) and zero-pressure. A comparative study has been made between the results obtained in ordinary gasdynamics and magnetogasdynamics with transverse and axial components of the magnetic field. The value of similarity exponent \(\alpha\) has been assigned from that found in the paper of Whitham.
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3970406
zbMATH Keywords: uniform atmosphere
zbMATH Keywords: similarity solution
zbMATH Keywords: self-similar solution
zbMATH Keywords: implosion of a cylindrical shock wave
zbMATH Keywords: magnetic field
zbMATH Keywords: strong shock wave
zbMATH Keywords: cylindrically-symmetric flow
zbMATH Keywords: gas of uniform initial density
zbMATH Keywords: magnetogasdynamics
MaRDI profile type: Publication
cites work: Converging cylindrical and spherical detonation waves
cites work: Imploding shocks and detonations
cites work: On the propagation of shock waves through regions of non-uniform area or flow
cites work: The effect of overtaking disturbances on the motion of converging shock waves
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description: scientific article; zbMATH DE number 3970406