General Properties of Collision Integral Kernels of the Nonlinear Boltzmann Equation

2019 ◽  
Vol 64 (10) ◽  
pp. 1400-1408
Author(s):  
L. A. Bakaleinikov ◽  
E. Yu. Flegontova ◽  
E. A. Tropp
Keyword(s):  
Boltzmann Equation ◽  
Collision Integral ◽  
Nonlinear Boltzmann Equation ◽  
General Properties

Kernels of the Direct Collision Integral of the Nonlinear Boltzmann Equation

2018 ◽  
Vol 63 (10) ◽  
pp. 1445-1454 ◽  
Author(s):  
L. A. Bakaleinikov ◽  
E. A. Tropp ◽  
E. Yu. Flegontova ◽  
I. A. Ender
Keyword(s):  
Boltzmann Equation ◽  
Collision Integral ◽  
Nonlinear Boltzmann Equation ◽  
Direct Collision

Recurrent procedure for constructing nonisotropic matrix elements of the collision integral of the nonlinear Boltzmann equation

2017 ◽  
Vol 62 (8) ◽  
pp. 1148-1155 ◽  
Author(s):  
I. A. Ender ◽  
L. A. Bakaleinikov ◽  
E. Yu. Flegontova ◽  
A. B. Gerasimenko
Keyword(s):  
Boltzmann Equation ◽  
Collision Integral ◽  
Matrix Elements ◽  
Nonlinear Boltzmann Equation

Construction of the collision integral kernel for the nonlinear Boltzmann equation from its matrix elements

2014 ◽  
Vol 59 (6) ◽  
pp. 796-807
Author(s):  
L. A. Bakaleinikov ◽  
E. Yu. Flegontova ◽  
A. Ya. Ender ◽  
I. A. Ender
Keyword(s):  
Boltzmann Equation ◽  
Integral Kernel ◽  
Collision Integral ◽  
Matrix Elements ◽  
Nonlinear Boltzmann Equation

The collision integral kernels of the scalar nonlinear Boltzmann equation for pseudopower potentials

2015 ◽  
Vol 60 (1) ◽  
pp. 8-13 ◽  
Author(s):  
L. A. Bakaleinikov ◽  
E. A. Tropp ◽  
E. Yu. Flegontova ◽  
A. Ya. Ender ◽  
I. A. Ender
Keyword(s):  
Boltzmann Equation ◽  
Collision Integral ◽  
Nonlinear Boltzmann Equation

Some general properties of the nonlinear collision integral in the Boltzmann equation

2010 ◽  
Vol 55 (10) ◽  
pp. 1400-1410 ◽  
Author(s):  
A. Ya. Ender ◽  
I. A. Ender ◽  
L. A. Bakaleinikov
Keyword(s):  
Boltzmann Equation ◽  
Collision Integral ◽  
General Properties ◽  
The Boltzmann Equation

The solution of nonlinear Boltzmann equation with an external force

2001 ◽  
Vol 12 (8) ◽  
pp. 1385-1391 ◽  
Author(s):  
S.A. El-Wakil ◽  
A. Elhanbaly ◽  
A. Elgarayhi
Keyword(s):  
Boltzmann Equation ◽  
External Force ◽  
Nonlinear Boltzmann Equation

Calculation of boltzmann equation collision integral and accurate solution of relaxation problem

1978 ◽  
Vol 12 (5) ◽  
pp. 749-757
Author(s):  
I. N. Kolyshkin ◽  
A. Ya. �nder ◽  
I. A. �nder
Keyword(s):  
Boltzmann Equation ◽  
Accurate Solution ◽  
Collision Integral ◽  
Relaxation Problem
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