Group analysis of the Boltzmann and Vlasov equations

DOI10.1134/S0040577920060070zbMath1441.35183OpenAlexW3041032636MaRDI QIDQ2193745

A. V. Borovskikh, K. S. Platonova

Publication date: 20 August 2020

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

Full work available at URL: https://doi.org/10.1134/s0040577920060070

zbMATH Keywords

Boltzmann equationkinetic equationsymmetry groupVlasov equationequivalence group

Mathematics Subject Classification ID

Applications of group representations to physics and other areas of science (20C35) Vlasov equations (35Q83) Symmetries, invariants, etc. in context of PDEs (35B06) Boltzmann equations (35Q20)

Related Items (1)

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

Cites Work

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• 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. IV: Complete group classification in the general case
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

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