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Group analysis of the one-dimensional Boltzmann equation. Invariants and the problem of moment system closure
Theoretical and Mathematical Physics
◽
10.1134/s0040577921090014
◽
2021
◽
Vol 208
(3)
◽
pp. 1165-1181
Author(s):
K. S. Platonova
◽
A. V. Borovskih
Keyword(s):
Boltzmann Equation
◽
Group Analysis
◽
One Dimensional
◽
Moment System
◽
The One
Download Full-text
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References
Group Analysis of the One-Dimensional Boltzmann Equation: IV. Complete Group Classification in the General Case
Theoretical and Mathematical Physics
◽
10.1134/s0040577919110072
◽
2019
◽
Vol 201
(2)
◽
pp. 1614-1643
◽
Cited By ~ 1
Author(s):
A. V. Borovskikh
◽
K. S. Platonova
Keyword(s):
Boltzmann Equation
◽
Group Analysis
◽
Group Classification
◽
Complete Group
◽
One Dimensional
◽
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Group analysis of the one-dimensional Boltzmann equation: I. symmetry groups
Differential Equations
◽
10.1134/s0012266117040115
◽
2017
◽
Vol 53
(4)
◽
pp. 530-538
◽
Cited By ~ 3
Author(s):
K. S. Platonova
Keyword(s):
Boltzmann Equation
◽
Group Analysis
◽
Symmetry Groups
◽
One Dimensional
◽
The One
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Group analysis of the one-dimensional boltzmann equation: II. Equivalence groups and symmetry groups in the special case
Differential Equations
◽
10.1134/s0012266117060106
◽
2017
◽
Vol 53
(6)
◽
pp. 796-808
◽
Cited By ~ 2
Author(s):
K. S. Platonova
Keyword(s):
Boltzmann Equation
◽
Group Analysis
◽
Symmetry Groups
◽
One Dimensional
◽
The One
◽
Special Case
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Group Analysis of the One-Dimensional Boltzmann Equation: III. Condition for the Moment Quantities to Be Physically Meaningful
Theoretical and Mathematical Physics
◽
10.1134/s0040577918060077
◽
2018
◽
Vol 195
(3)
◽
pp. 886-915
◽
Cited By ~ 2
Author(s):
K. S. Platonova
◽
A. V. Borovskikh
Keyword(s):
Boltzmann Equation
◽
Group Analysis
◽
One Dimensional
◽
The Moment
◽
The One
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Group analysis of the one dimensional wave equation with delay
Applied Mathematics and Computation
◽
10.1016/j.amc.2020.125193
◽
2020
◽
Vol 378
◽
pp. 125193
◽
Cited By ~ 1
Author(s):
Jervin Zen Lobo
◽
Y.S. Valaulikar
Keyword(s):
Wave Equation
◽
Group Analysis
◽
One Dimensional
◽
The One
◽
Equation With Delay
◽
Dimensional Wave
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A solution of the one-dimensional linear quartic Poisson-Boltzmann equation using lattice-Boltzmann
Contemporary Engineering Sciences
◽
10.12988/ces.2018.84163
◽
2018
◽
Vol 11
(33)
◽
pp. 1613-1619
Author(s):
F. Fonseca
Keyword(s):
Boltzmann Equation
◽
Lattice Boltzmann
◽
One Dimensional
◽
Poisson Boltzmann
◽
Poisson Boltzmann Equation
◽
The One
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Renormalization group analysis of the one-dimensional extended Hubbard model
Physical Review B
◽
10.1103/physrevb.83.075111
◽
2011
◽
Vol 83
(7)
◽
Cited By ~ 7
Author(s):
M. Ménard
◽
C. Bourbonnais
Keyword(s):
Renormalization Group
◽
Hubbard Model
◽
Group Analysis
◽
Extended Hubbard Model
◽
Renormalization Group Analysis
◽
One Dimensional
◽
The One
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Symmetries and invariant solutions of the one-dimensional Boltzmann equation for inelastic collisions
Theoretical and Mathematical Physics
◽
10.1134/s0040577916020045
◽
2016
◽
Vol 186
(2)
◽
pp. 183-191
◽
Cited By ~ 1
Author(s):
O. V. Ilyin
Keyword(s):
Boltzmann Equation
◽
Inelastic Collisions
◽
Invariant Solutions
◽
One Dimensional
◽
The One
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Explicit expression for the fundamental solution to the Cauchy problem for the one-velocity Boltzmann equation in the case of a one-dimensional isotropic medium
Journal of Mathematical Sciences
◽
10.1007/bf02365051
◽
1999
◽
Vol 97
(4)
◽
pp. 4368-4389
Author(s):
Yu. B. Yanushanets
Keyword(s):
Cauchy Problem
◽
Boltzmann Equation
◽
Fundamental Solution
◽
Explicit Expression
◽
Isotropic Medium
◽
One Dimensional
◽
The Cauchy Problem
◽
The One
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Solution of the one-dimensional linear Boltzmann equation for charged Maxwellian particles in an external field
Journal of Statistical Physics
◽
10.1007/bf01019738
◽
1988
◽
Vol 52
(3-4)
◽
pp. 1031-1060
◽
Cited By ~ 4
Author(s):
Otto J. Eder
◽
Maximilian Posch
Keyword(s):
Boltzmann Equation
◽
External Field
◽
Linear Boltzmann Equation
◽
One Dimensional
◽
The One
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