The time-asymptotic stability of shocks in cosmic-ray hydrodynamics
Abstract
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.
- Publication:
-
Journal of Plasma Physics
- Pub Date:
- June 1988
- DOI:
- 10.1017/S0022377800026817
- Bibcode:
- 1988JPlPh..39..539Z
- Keywords:
-
- 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;
- Astrophysics