Asymptotic Stability of Shock Waves and Rarefaction Waves under Periodic Perturbations for Inhomogeneous Burgers Equation

2021 ◽  
Vol 11 (07) ◽  
pp. 1400-1415
Author(s):  
兆祥 张
Keyword(s):  
Asymptotic Stability ◽  
Shock Waves ◽  
Burgers Equation ◽  
Rarefaction Waves ◽  
Periodic Perturbations

Pseudo-spectral calculations of shock waves, rarefaction waves and contact surfaces

1981 ◽  
Vol 9 (4) ◽  
pp. 469-473 ◽  
Author(s):  
Thomas D. Taylor ◽  
Robert B. Myers ◽  
Jeffrey H. Albert
Keyword(s):  
Shock Waves ◽  
Rarefaction Waves ◽  
Contact Surfaces ◽  
Pseudo Spectral

Field-line reconnexion in the two-dimensional asymmetric case

1983 ◽  
Vol 30 (2) ◽  
pp. 321-344 ◽  
Author(s):  
V. S. Semenov ◽  
I. V. Kubyshkin ◽  
M. F. Heyn ◽  
H. K. Biernat
Keyword(s):  
Shock Wave ◽  
Shock Waves ◽  
Contact Discontinuity ◽  
Two Dimensional ◽  
Rarefaction Waves ◽  
Plasma Parameters ◽  
Different Types ◽  
Asymmetric Case ◽  
Detailed Mathematical Analysis ◽  
Alfven Velocity

A detailed mathematical analysis of plane steady-state reconnexion is given for the case when the plasma parameters and the magnetic fields are not identical on both sides of the current sheet. Asymptotic solutions in the sense that the inflow velocity is much less than the local Alfvén velocity as well as the arrangement of shock waves are obtained. Rotational (Alfvén) waves, slow shock waves, rarefaction waves (expansion fans), and a contact discontinuity may occur. Four different types of solution, corresponding to different shock wave configurations, are possible. They depend on the parameters of the inflow regions in a unique way.

Aeroacoustic model for weak shock waves based on Burgers equation

AIAA Journal ◽  
1995 ◽  
Vol 33 (1) ◽  
pp. 27-32 ◽  
Author(s):  
Sanford S. Davis
Keyword(s):  
Shock Waves ◽  
Burgers Equation ◽  
Weak Shock

Time-dependent non-planar DIA shock waves in non-extensive dusty plasma

2013 ◽  
Vol 79 (5) ◽  
pp. 545-551 ◽  
Author(s):  
S. YASMIN ◽  
M. ASADUZZAMAN ◽  
A. A. MAMUN
Keyword(s):  
Shock Waves ◽  
Dusty Plasma ◽  
Burgers Equation ◽  
Spherical Geometry ◽  
Bounded Geometry ◽  
Modified Burgers Equation ◽  
Basic Features ◽  
Ion Acoustic Shock Waves ◽  
Stationary Dust ◽  
Dusty Plasma System

AbstractThe propagation of dust ion-acoustic shock waves (DIASHWs) in an unmagnetized dissipative dusty plasma system consisting of inertial ions, non-inertial, non-extensive q-distributed electrons, and negatively charged stationary dust is investigated in bounded non-planar (cylindrical and spherical) geometry. A modified Burgers equation is derived and its numerical solution is obtained. It is found that the basic features of DIASHWs are significantly modified by the effects of electron non-extensivity and ion kinematic viscosity in bounded geometry. It is also shown that the propagation characteristics of non-planar DIASHWs in a non-extensive plasma are qualitatively different from those of planar ones.

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