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

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

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jplph..39..539z&link_type=abstract

Journal of Plasma Physics (ISSN 0022-3778), vol. 39, June 1988, p. 539-548.

Physics

Plasma Physics

4

Asymptotic Methods, Cosmic Rays, Magnetohydrodynamics, Perturbation Theory, Shock Wave Interaction, Two Fluid Models, Damping, Magnetoacoustic Waves, Nonlinear Evolution Equations, Shock Discontinuity, Steady State, Wave Equations

Scientific paper

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

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