scholarly journals Shock Formation of the Burgers--Hilbert Equation

2021 ◽  
Vol 53 (5) ◽  
pp. 5756-5802
Author(s):  
Ruoxuan Yang
Keyword(s):  
Shock Formation

The time-asymptotic stability of shocks in cosmic-ray hydrodynamics

1988 ◽  
Vol 39 (3) ◽  
pp. 539-548 ◽  
Author(s):  
G. P. Zank
Keyword(s):  
Wave Equation ◽  
Asymptotic Stability ◽  
Short Wavelength ◽  
Cosmic Ray ◽  
Hydrodynamical Model ◽  
Shock Formation ◽  
Nonlinear Behaviour ◽  
Two Fluid

The nonlinear behaviour of short-wavelength perturbations in the two-fluid cosmic-ray hydrodynamical model is examined. We show that such a perturbation leads to shock formation and derive the appropriate wave equation. We show that a discontinuous perturbation incident on a weak cosmic-ray shock destabilizes, in a time-asymptotic sense, the shock.

Shock formation induced by poloidal flow and its effects on the edge stability in tokamaks

2016 ◽  
Vol 23 (4) ◽  
pp. 042501 ◽  
Author(s):  
J. Seol ◽  
K. C. Shaing ◽  
A. Y. Aydemir
Keyword(s):  
Shock Formation ◽  
Edge Stability

Transonic Shock Formation in a Rarefaction Riemann Problem for the 2D Compressible Euler Equations

2008 ◽  
Vol 69 (3) ◽  
pp. 720-742 ◽  
Author(s):  
James Glimm ◽  
Xiaomei Ji ◽  
Jiequan Li ◽  
Xiaolin Li ◽  
Peng Zhang ◽  
...  
Keyword(s):  
Euler Equations ◽  
Riemann Problem ◽  
Compressible Euler Equations ◽  
Shock Formation ◽  
Transonic Shock ◽  
Compressible Euler

scholarly journals Generation of shocked hot regions in black hole magnetosphere

2006 ◽  
Vol 2 (S238) ◽  
pp. 367-368
Author(s):  
Keigo Fukumura ◽  
Masaaki Takahashi ◽  
Sachiko Tsuruta
Keyword(s):  
Magnetic Field ◽  
Black Hole ◽  
Event Horizon ◽  
Accretion Disk ◽  
High Energy ◽  
Magnetized Plasma ◽  
Shock Formation ◽  
Poloidal Magnetic Field ◽  
High Energy Radiation ◽  
Plausible Mechanism

AbstractWe study magnetohydrodynamic (MHD) standing shocks in ingoing plasmas in a black hole (BH) magnetosphere. We find that low or mid latitude (non-equatorial) standing MHD shocks are both physically possible, creating very hot and/or magnetized plasma regions close to the event horizon. We also investigate the effects of the poloidal magnetic field and the BH spin on the properties of shocks and show that both effects can quantitatively affect the MHD shock solutions. MHD shock formation can be a plausible mechanism for creating high energy radiation region above an accretion disk in AGNs.

Shock formation in binary systems with nonlinear characteristic curves

2008 ◽  
Vol 63 (16) ◽  
pp. 4159-4170 ◽  
Author(s):  
Alessandro Butté ◽  
Giuseppe Storti ◽  
Marco Mazzotti
Keyword(s):  
Binary Systems ◽  
Shock Formation ◽  
Nonlinear Characteristic ◽  
Characteristic Curves

scholarly journals Shock formation in fluids having embedded regions of negative nonlinearity

1986 ◽  
Vol 29 (7) ◽  
pp. 2181 ◽  
Author(s):  
M. S. Cramer ◽  
R. Sen
Keyword(s):  
Shock Formation
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