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On the propagation of cylindrical waves in a magnetized self-gravitating collisionless plasma

Published online by Cambridge University Press:  13 March 2009

Giulio Mattei
Affiliation:
Istituto di Matematiche Applicate, Facoltà di Ingegneria, Università, Pisa, Italy

Abstract

Solutions are obtained for cylindrical waves of the equations governing a magnetized self-gravitating collisionless plasma. Subject to certain conditions, we find two types of instability: (i) the hose instability which is related to the anisotropic pressure; and (ii) gravitational instability.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1968

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References

REFERENCES

Akhiezer, I. A., Polovin, R. V. & Tsintsadze, N. L. 1960 Simple waves in the Chew-Goldberger-Low approximation. Soviet Physics J.E.T.P. 37 (10), 539542.Google Scholar
Chew, G. F., Goldberger, M. L. & Low, F. E. 1956 The Boltzmann equation and one- fluid hydromagnetic equations in the absence of particle collisions. Proc. Roy. Soc. A 236, 112118.Google Scholar
Gliddon, J. E. C. 1966 Gravitational instability of anisotropic plasma, Astrophys. J. 145, 583588.CrossRefGoogle Scholar
Jeffrey, A. 1966 Magnetohydrodynamics. London: Oliver and Boyd.Google Scholar
Serrin, J. 1959 Mathematical principles of classical fluid mechanics. Hand. Phys., VIII/1.Google Scholar
Volkov, T. F. 1966 Hydrodynamic description of a collisionless plasma. Reviews of Plasma Physics. Ed. Leontovich, M. A., vol. 4, 121, N. 7. New York: Consultants Bureau.Google Scholar