Spherical mhd shock waves under the action of monochromatic radiation

1993 ◽  
Vol 202 (2) ◽  
pp. 355-362 ◽  
Author(s):  
Onkar Nath ◽  
H. S. Takhar



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


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.





1993 ◽  
Vol 200 (1) ◽  
pp. 27-34 ◽  
Author(s):  
Onkar Nath ◽  
S. N. Ojha ◽  
H. S. Takhar


1980 ◽  
Vol 24 (1) ◽  
pp. 103-120 ◽  
Author(s):  
C. D. Mathers

The structure of transverse MHD shock waves in an initially partly ionized plasma is studied using a three-fluid model with collisional transport coefficients. This model includes the effects of non-equilibrium ionization and of ion velocity slip. A closed set of structure equations is obtained and it is shown that they have a saddle-point – saddle-point topology which prohibits direct integration. In distinction from previous MHD shock structure studies, it is not possible to reduce the number of variables in a realistic manner to allow direct integration, nor is it possible to use the method of matched asymptotic expansions. An iterative solution method is presented in this paper, based on a detailed analysis of the integral curve topology.



2005 ◽  
Vol 8 (1) ◽  
pp. 120-145
Author(s):  
Dennis Diehl ◽  
Christian Rohde


1984 ◽  
Vol 8 (3) ◽  
pp. 209-216 ◽  
Author(s):  
Wei Feng-si


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