Small Amplitude Wave Propagation in Hot Ionized Gases

1965 ◽  
Vol 8 (11) ◽  
pp. 2087 ◽  
Author(s):  
P. K. Khosla ◽  
M. P. Murgai
2004 ◽  
Vol 9 (5) ◽  
pp. 555-568 ◽  
Author(s):  
Massimiliano Gei ◽  
Davide Bigoni ◽  
Giulia Franceschni

1977 ◽  
Vol 44 (4) ◽  
pp. 559-564 ◽  
Author(s):  
J. W. Nunziato ◽  
E. K. Walsh

In this paper we consider the dynamic behavior of granular solids in the context of a one-dimensional, linearized theory. Uniqueness of solutions for unbounded domains is established and two wave propagation problems are solved. In particular, the dispersion relations for small-amplitude sinusoidal progressive waves are obtained and the evolution of small-amplitude shock waves is exhibited.


Author(s):  
David J. Steigmann

Chapter 9 develops the notion of material stability on the basis of small-amplitude wave propagation. This is shown to correlate with the smoothness of finite equilibrium deformations, granted sufficient a priori regularity assumptions. The central role played by the condition of strong ellipticity is emphasized.


1973 ◽  
Vol 9 (3) ◽  
pp. 349-365 ◽  
Author(s):  
Ta-Ming Fang ◽  
Howard R. Baum†

Multi-fluid equations derived in a previous paper are used to study small- amplitude wave motion in a partially ionized chemically-reacting plasma. The plasma is assumed to be infinite and without external fields. The dispersion equations are derived and solved both numerically and analytically for several limiting cases. The effects of chemical reactions have been explicitly obtained. It is found that at the long-wavelength limit, the ionization and recombination terms play the dominant role for the damping of certain longitudinal waves even for a nearly frozen plasma.


1979 ◽  
Vol 29 (5) ◽  
pp. 487-494
Author(s):  
M. Khan ◽  
B. Chakraborty

Author(s):  
Baoliang Wang ◽  
Hongfei Wang ◽  
Zhenguo Yao

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