scholarly journals Slow shock and rotational discontinuity in MHD and Hall MHD models with anisotropic pressure

2016 ◽  
Vol 121 (7) ◽  
pp. 6245-6261 ◽  
Author(s):  
L.-N. Hau ◽  
B.-J. Wang
2017 ◽  
Vol 44 (8) ◽  
pp. 3447-3455 ◽  
Author(s):  
M. E. Innocenti ◽  
E. Cazzola ◽  
R. Mistry ◽  
J. P. Eastwood ◽  
M. V. Goldman ◽  
...  

1998 ◽  
Vol 103 (A4) ◽  
pp. 6513-6520 ◽  
Author(s):  
Y. C. Whang ◽  
J. Zhou ◽  
R. P. Lepping ◽  
A. Szabo ◽  
D. Fairfield ◽  
...  

2000 ◽  
Vol 105 (A6) ◽  
pp. 13045-13053 ◽  
Author(s):  
L. C. Lee ◽  
B. H. Wu ◽  
J. K. Chao ◽  
C. H. Lin ◽  
Y. Li

2004 ◽  
Vol 11 (2) ◽  
pp. 259-266 ◽  
Author(s):  
Y. C. Whang

Abstract. Recent research using high-resolution magnetic field data to examine the interior structures of MHD shocks in interplanetary space and in the magnetotail led to a surprising discovery that a slow-mode shock is often followed by an adjoining rotational discontinuity layer on the postshock side. The thickness of each layer is of the order of a few ion inertial lengths. Such a compound structure is known as a double discontinuity. When the magnetic field rotates by several degrees per ion inertial length inside a thin layer, the Hall current term becomes important in the generalized Ohm's law. Steady state solutions based on the Hall-MHD theory have been obtained to show the merging of a rotational layer and a slow shock layer to form a compound structure like the observed double discontinuities.


2021 ◽  
Vol 10 (1) ◽  
pp. 1235-1254
Author(s):  
Qiang Tao ◽  
Canze Zhu

Abstract This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large oscillations. In addition, the large time behavior of the global solution is obtained.


1987 ◽  
Vol 38 (2) ◽  
pp. 209-222 ◽  
Author(s):  
Hussain M. Rizk

The relation between various surface quantities required in hydrodynamic calculations, and the relation between the parallel and perpendicular currents in an arbitrary magnetic toroidal plasma configuration with scalar pressure, are generalized to the case of anisotropic pressure. Magnetic co-ordinates for hydrodynamic equilibria in this configuration are defined. A general expression for the mean velocity of diffusion through a magnetic surface, on the basis of the one-fluid magnetohydrodynamic equation with anisotropic pressure, is derived.


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