Group analysis of the one-dimensional Boltzmann equation. Invariants and the problem of moment system closure

DOI10.1134/S0040577921090014zbMath1483.35147OpenAlexW3202028959MaRDI QIDQ2056808

K. S. Platonova, A. V. Borovskih

Publication date: 8 December 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921090014

zbMATH Keywords

Boltzmann equationkinetic equationsymmetry groupinvariants and moment system closure

Mathematics Subject Classification ID

Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Boltzmann equations (35Q20)

Related Items (1)

Lie group geometry. Invariant metrics and dynamical systems, dual algebra, and their applications in the group analysis of a one-dimensional kinetic equation

Cites Work

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• On the Maxwell problem
• Moment closure hierarchies for kinetic theories.
• Group analysis of the one-dimensional Boltzmann equation. III: Condition for the moment quantities to be physically meaningful
• Group analysis of the one-dimensional Boltzmann equation. IV: Complete group classification in the general case
• Group analysis of the Boltzmann and Vlasov equations
• Group analysis of the one-dimensional Boltzmann equation. I: Symmetry groups
• Group analysis of the one-dimensional Boltzmann equation. II: Equivalence groups and symmetry groups in the special case

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