Group analysis of the one-dimensional Boltzmann equation. III: Condition for the moment quantities to be physically meaningful

DOI10.1134/S0040577918060077zbMath1403.35198OpenAlexW2818265536MaRDI QIDQ1791888

A. V. Borovskikh, K. S. Platonova

Publication date: 11 October 2018

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

Full work available at URL: https://doi.org/10.1134/s0040577918060077

zbMATH Keywords

Boltzmann equationsymmetry groupequivalence groupgas dynamics equation

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Boltzmann equations (35Q20)

Related Items (4)

Group analysis of the one-dimensional Boltzmann equation. IV: Complete group classification in the general case ⋮ Group analysis of the Boltzmann and Vlasov equations ⋮ Lie group geometry. Invariant metrics and dynamical systems, dual algebra, and their applications in the group analysis of a one-dimensional kinetic equation ⋮ Group analysis of the one-dimensional Boltzmann equation. Invariants and the problem of moment system closure

Cites Work

• Complete Lie group and invariant solutions of a system of Boltzmann equations of a multicomponent mixture of gases
• 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
• Lie Algebras of Vector Fields in the Real Plane
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