Group analysis of the one-dimensional Boltzmann equation. IV: Complete group classification in the general case

DOI10.1134/S0040577919110072zbMath1441.82022OpenAlexW2996155357WikidataQ126583957 ScholiaQ126583957MaRDI QIDQ2190202

K. S. Platonova, A. V. Borovskikh

Publication date: 18 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0040577919110072

zbMATH Keywords

Boltzmann equationsymmetry groupequivalence groupgas dynamics equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Boltzmann equations (35Q20)

Related Items (2)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetries of integro-differential equations. With applications in mechanics and plasma physics
• Symmetries of evolution equations with non-local operators and applications to the Boltzmann equation
• The Boltzmann equation and its applications
• 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. 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
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

This page was built for publication: Group analysis of the one-dimensional Boltzmann equation. IV: Complete group classification in the general case