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The time-asymptotic stability of shocks in cosmic-ray hydrodynamics

Published online by Cambridge University Press:  13 March 2009

G. P. Zank
G. P. Zank
Affiliation:
Max-Planck-Institut für Kernphysik, Postfach 10 39 80, D-6900 Heidelberg 1, Federal Republic ofGermany
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Extract

The nonlinear behaviour of short-wavelength perturbations in the two-fluid cosmic-ray hydrodynamical model is examined. We show that such a perturbation leads to shock formation and derive the appropriate wave equation. We show that a discontinuous perturbation incident on a weak cosmic-ray shock destabilizes, in a time-asymptotic sense, the shock.

Type
Research Article
Information
Journal of Plasma Physics , Volume 39 , Issue 3 , June 1988 , pp. 539 - 548
Copyright
Copyright © Cambridge University Press 1988

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References

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