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

Authors :
Platonova, K. S.
Borovskih, A. V.
Source :
Theoretical & Mathematical Physics. Sep2021, Vol. 208 Issue 3, p1165-1181. 17p.
Publication Year :
2021

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00405779
Volume :
208
Issue :
3
Database :
Academic Search Index
Journal :
Theoretical & Mathematical Physics
Publication Type :
Academic Journal
Accession number :
152605191
Full Text :
https://doi.org/10.1134/S0040577921090014