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



2021 ◽  
Vol 28 (3) ◽  
pp. 032105
Author(s):  
Shay I. Heizler ◽  
Tomer Shussman ◽  
Moshe Fraenkel


Solar Physics ◽  
1994 ◽  
Vol 155 (1) ◽  
pp. 171-184 ◽  
Author(s):  
Marian Karlický ◽  
Dušan Odstrčil




2018 ◽  
Vol 9 (4) ◽  
pp. 1717-1730 ◽  
Author(s):  
J.P. Vishwakarma ◽  
G. Nath ◽  
Rajendra Kumar Srivastava




1999 ◽  
Vol 135 (1-2) ◽  
pp. 57-71 ◽  
Author(s):  
A. M. Blokhin ◽  
Yu. L. Trakhinin


2008 ◽  
Vol 18 (12) ◽  
pp. 2151-2174 ◽  
Author(s):  
CHRISTIAN ROHDE ◽  
WEN-AN YONG

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.



1983 ◽  
Vol 268 ◽  
pp. 17 ◽  
Author(s):  
E. Bertschinger




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