A study of self-similar cylindrical MHD shock waves in monochromatic radiation

1989 ◽  
Vol 155 (1) ◽  
pp. 163-167 ◽  
Author(s):  
Onkar Nath
Keyword(s):  
Shock Waves ◽  
Monochromatic Radiation ◽  
Self Similar ◽  
Mhd Shock Waves

Self-similar MHD shock waves for a rotating atmosphere under the force of gravitation

1993 ◽  
Vol 200 (1) ◽  
pp. 27-34 ◽  
Author(s):  
Onkar Nath ◽  
S. N. Ojha ◽  
H. S. Takhar
Keyword(s):  
Shock Waves ◽  
Self Similar ◽  
Mhd Shock Waves

The generation of MHD shock waves during the impulsive phase of the February 27, 1992 flare

Solar Physics ◽  
1994 ◽  
Vol 155 (1) ◽  
pp. 171-184 ◽  
Author(s):  
Marian Karlický ◽  
Dušan Odstrčil
Keyword(s):  
Shock Waves ◽  
Impulsive Phase ◽  
Mhd Shock Waves

Stability of fast parallel and transversal MHD shock waves in plasma with pressure anisotropy

1999 ◽  
Vol 135 (1-2) ◽  
pp. 57-71 ◽  
Author(s):  
A. M. Blokhin ◽  
Yu. L. Trakhinin
Keyword(s):  
Shock Waves ◽  
Pressure Anisotropy ◽  
Mhd Shock Waves

scholarly journals DISSIPATIVE ENTROPY AND GLOBAL SMOOTH SOLUTIONS IN RADIATION HYDRODYNAMICS AND MAGNETOHYDRODYNAMICS

2008 ◽  
Vol 18 (12) ◽  
pp. 2151-2174 ◽  
Author(s):  
CHRISTIAN ROHDE ◽  
WEN-AN YONG
Keyword(s):  
Shock Waves ◽  
Equations Of State ◽  
Initial Boundary ◽  
Classical Solutions ◽  
Radiation Hydrodynamics ◽  
Global Smooth Solutions ◽  
The Cauchy Problem ◽  
Initial Boundary Value ◽  
Mhd Shock Waves ◽  
Radiation Magnetohydrodynamics

The equations of ideal radiation magnetohydrodynamics (RMHD) serve as a fundamental mathematical model in many astrophysical applications. It is well known that radiation can have a damping effect on solutions of associated initial-boundary-value problems. In other words, singular solutions like shocks can be prohibited. In this paper, we consider discrete-ordinate approximations of the RMHD-system for general equations of state. If the magnetic fields are absent (i.e. if we consider radiation hydrodynamics), we prove the existence of global-in-time classical solutions for the Cauchy problem in one space dimension under an appropriate smallness condition on the inital data. We also show that counterparts of the compressive shock waves for the full RHD case and counterparts of the slow and fast MHD shock waves for the full RMHD-system can have structures in the presence of radiation if the amplitude is sufficiently small. Moreover, a new entropy function for the RMHD-system is presented.

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