Study of a shock wave structure in gas mixtures on the basis of the Boltzmann equation

2002 ◽  
Vol 21 (5) ◽  
pp. 599-610 ◽  
Author(s):  
Alla Raines
Keyword(s):  
Shock Wave ◽  
Boltzmann Equation ◽  
Wave Structure ◽  
Gas Mixtures ◽  
Shock Wave Structure ◽  
The Boltzmann Equation

High-accuracy deterministic solution of the Boltzmann equation for the shock wave structure

Shock Waves ◽  
2015 ◽  
Vol 25 (4) ◽  
pp. 387-397 ◽  
Author(s):  
E. A. Malkov ◽  
Ye. A. Bondar ◽  
A. A. Kokhanchik ◽  
S. O. Poleshkin ◽  
M. S. Ivanov
Keyword(s):  
Shock Wave ◽  
Boltzmann Equation ◽  
Wave Structure ◽  
High Accuracy ◽  
Shock Wave Structure ◽  
The Boltzmann Equation ◽  
Deterministic Solution

The generalized Boltzmann equation, generalized hydrodynamic equations and their applications

1994 ◽  
Vol 349 (1691) ◽  
pp. 417-443 ◽  
Keyword(s):  
Shock Wave ◽  
Wave Propagation ◽  
Distribution Function ◽  
Boltzmann Equation ◽  
Wave Structure ◽  
Hydrodynamic Equations ◽  
Collision Time ◽  
Shock Wave Structure ◽  
Generalized Boltzmann Equation ◽  
Kolmogorov Scale

The generalization of the Boltzmann equation is realized by taking into account the alteration of the distribution function on scales of the collision time order. The generalized hydrodynamic equations are derived on the basis of the generalized Boltzmann equation. The strict theory of turbulence on the Kolmogorov scale is developed. Examples and issues are given for the shock wave structure and sound wave propagation calculations.

scholarly journals Nematic Dispersive Shock Waves from Nonlocal to Local

2021 ◽  
Vol 11 (11) ◽  
pp. 4736
Author(s):  
Saleh Baqer ◽  
Dimitrios J. Frantzeskakis ◽  
Theodoros P. Horikis ◽  
Côme Houdeville ◽  
Timothy R. Marchant ◽  
...  
Keyword(s):  
Shock Wave ◽  
Liquid Crystals ◽  
Shock Waves ◽  
Numerical Solutions ◽  
Wave Structure ◽  
Beam Power ◽  
Input Beam ◽  
Shock Wave Structure ◽  
Wave Solutions ◽  
Modulation Theory

The structure of optical dispersive shock waves in nematic liquid crystals is investigated as the power of the optical beam is varied, with six regimes identified, which complements previous work pertinent to low power beams only. It is found that the dispersive shock wave structure depends critically on the input beam power. In addition, it is known that nematic dispersive shock waves are resonant and the structure of this resonance is also critically dependent on the beam power. Whitham modulation theory is used to find solutions for the six regimes with the existence intervals for each identified. These dispersive shock wave solutions are compared with full numerical solutions of the nematic equations, and excellent agreement is found.

The double shock wave structure in the solar wind

1967 ◽  
Vol 72 (21) ◽  
pp. 5275-5286 ◽  
Author(s):  
G. Schubert ◽  
W. D. Cummings
Keyword(s):  
Shock Wave ◽  
Solar Wind ◽  
Wave Structure ◽  
Shock Wave Structure
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