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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 208, Number 3, Pages 367–386
DOI: https://doi.org/10.4213/tmf10098 (Mi tmf10098) 		 
This article is cited in 3 scientific papers (total in 3 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
Full-text PDF (522 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf10098
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
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 3, Pages 1165–1181
DOI: https://doi.org/10.1134/S0040577921090014
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. S. Platonova, A. V. Borovskikh, “Group analysis of the one-dimensional Boltzmann equation. Invariants and the problem of moment system closure”, TMF, 208:3 (2021), 367–386; Theoret. and Math. Phys., 208:3 (2021), 1165–1181
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf10098
  • https://www.mathnet.ru/eng/tmf/v208/i3/p367
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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