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

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

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.

The structure of MHD shock waves in a thermally-radiating gas at high mach numbers

1991 ◽  
Vol 179 (2) ◽  
pp. 171-176
Author(s):  
A. R. Bestman
Keyword(s):  
Shock Waves ◽  
Mach Numbers ◽  
High Mach ◽  
Mhd Shock Waves

Existence conditions for collisionless hydromagnetic shock waves along the magnetic field

1971 ◽  
Vol 6 (3) ◽  
pp. 467-493 ◽  
Author(s):  
Yusuke Kato† ◽  
Masayoshi Tajiri ◽  
Tosiya Taniuti
Keyword(s):  
Magnetic Field ◽  
Shock Waves ◽  
Flow Velocity ◽  
Maxwell Equations ◽  
Collisionless Plasma ◽  
Electrostatic Waves ◽  
Pressure Anisotropy ◽  
Existence Conditions ◽  
Upstream Flow ◽  
The Magnetic Field

This paper is concerned with existence conditions for steady hydromagnetic shock waves propagating in a collisionless plasma along an applied magnetic field. The electrostatic waves are excluded. The conditions are based on the requirement that solutions of the Vlasov-Maxwell equations deviate from a uniform state ahead of a wave. They are given as the conditions on the upstream flow velocity in the wave frame (i.e. in the form of inequalities among the upstream flow velocity and some critical velocities). The conditions crucially depend on the pressure anisotropy, and demonstrate possibilities of exacting collisionless shock waves for high β plasmas.

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

Transverse MHD shock waves in a partly ionized plasma. Part 1. Structure equations and topology

1980 ◽  
Vol 24 (1) ◽  
pp. 103-120 ◽  
Author(s):  
C. D. Mathers
Keyword(s):  
Shock Waves ◽  
Saddle Point ◽  
Fluid Model ◽  
Transport Coefficients ◽  
Velocity Slip ◽  
Iterative Solution ◽  
Direct Integration ◽  
Closed Set ◽  
Structure Equations ◽  
Mhd Shock Waves

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.

Spherical mhd shock waves under the action of monochromatic radiation

1993 ◽  
Vol 202 (2) ◽  
pp. 355-362 ◽  
Author(s):  
Onkar Nath ◽  
H. S. Takhar
Keyword(s):  
Shock Waves ◽  
Monochromatic Radiation ◽  
Mhd Shock Waves

On the Structure of MHD Shock Waves in Diffusive-Dispersive Media

2005 ◽  
Vol 8 (1) ◽  
pp. 120-145
Author(s):  
Dennis Diehl ◽  
Christian Rohde
Keyword(s):  
Shock Waves ◽  
Dispersive Media ◽  
Mhd Shock Waves

Dimensionless jump conditions for MHD shock waves

1984 ◽  
Vol 8 (3) ◽  
pp. 209-216 ◽  
Author(s):  
Wei Feng-si
Keyword(s):  
Shock Waves ◽  
Jump Conditions ◽  
Mhd Shock Waves
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