Group analysis of the one-dimensional Boltzmann equation. I: Symmetry groups

DOI10.1134/S0012266117040115zbMath1391.35310OpenAlexW2615400290WikidataQ115250970 ScholiaQ115250970MaRDI QIDQ2399394

K. S. Platonova

Publication date: 23 August 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117040115

zbMATH Keywords

Boltzmann equationsymmetry groupsLie algebras

Mathematics Subject Classification ID

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. II: Equivalence groups and symmetry groups in the special case ⋮ Group analysis of the one-dimensional Boltzmann equation. IV: Complete group classification in the general case ⋮ 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. Invariants and the problem of moment system closure

Cites Work

• Group-invariant solutions of kinetic equations
• Navier-Stokes approximation and problems of the Chapman-Enskog projection for kinetic equations
• THE BOLTZMANN EQUATION AND THE GROUP TRANSFORMATIONS
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
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