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Existence conditions for collisionless hydromagnetic shock waves along the magnetic field

Published online by Cambridge University Press:  13 March 2009

Yusuke Kato† ,
Masayoshi Tajiri  and
Tosiya Taniuti
Yusuke Kato†
Affiliation:
Institute of Plasma Physics, Nagoya University, Nagoya, Japan
Masayoshi Tajiri
Affiliation:
Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture, Sakai, Osaka, Japan
Tosiya Taniuti
Affiliation:
Department of Physics, Nagoya University, Nagoya, Japan
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Abstract

This paper is concerned with existence conditions for steady hydromagnetic shock waves propagating in a collisionless plasma along an applied magnetic field. The electrostatic waves are excluded. The conditions are based on the requirement that solutions of the Vlasov-Maxwell equations deviate from a uniform state ahead of a wave. They are given as the conditions on the upstream flow velocity in the wave frame (i.e. in the form of inequalities among the upstream flow velocity and some critical velocities). The conditions crucially depend on the pressure anisotropy, and demonstrate possibilities of exacting collisionless shock waves for high β plasmas.

Type
Research Article
Information
Journal of Plasma Physics , Volume 6 , Issue 3 , December 1971 , pp. 467 - 493
Copyright
Copyright © Cambridge University Press 1971

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