Renormalized Two‐Fluid Hydrodynamics of Cosmic‐Ray–modified Shocks

1996 ◽  
Vol 473 (1) ◽  
pp. 347-355 ◽  
Author(s):  
M. A. Malkov ◽  
H. J. Volk
1988 ◽  
Vol 39 (3) ◽  
pp. 539-548 ◽  
Author(s):  
G. P. Zank

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.


1994 ◽  
Vol 429 ◽  
pp. 748 ◽  
Author(s):  
Byung-Il Jun ◽  
David A. Clarke ◽  
Michael L. Norman

1997 ◽  
Vol 57 (3) ◽  
pp. 631-676 ◽  
Author(s):  
G. M. WEBB ◽  
M. BRIO ◽  
G. P. ZANK ◽  
T. STORY

1969 ◽  
Vol 1 (4) ◽  
pp. 65-69 ◽  
Author(s):  
Yu. A. Buevich

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