This article is cited in 4 papers

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

K. S. Platonova, A. V. Borovskikh

Lomonosov Moscow State University, Moscow, Russia

Abstract: We complete the investigation of the feasibility in principle to close the moment system for the kinetic equation via invariant relations obtained by group analysis methods. For the one-dimensional equation, we obtain an affirmative answer, find an invariant closure of the moment system, and reveal several new phenomena.

Keywords: Boltzmann equation, symmetry group, kinetic equation, invariants and moment system closure.

Received: 20.03.2021
Revised: 20.03.2021

DOI: 10.4213/tmf10098

 English version: Theoretical and Mathematical Physics, 2021, 208:3, 1165–1181

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