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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 179, Number 3, Pages 350–359
DOI: https://doi.org/10.4213/tmf8641 (Mi tmf8641) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Symmetries, the current function, and exact solutions for Broadwell's two-dimensional stationary kinetic model

O. V. Ilyin

Dorodnitsyn Computational Center, RAS, Moscow, Russia
Full-text PDF (389 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf8641
Abstract: We investigate the Broadwell stationary kinetic model for four velocities on a plane using the current function that satisfies a partial differential equation. For this equation, we evaluate the algebras of classical and nonclassical symmetries and then construct invariant solutions. All classes of solutions describe nonpotential flows. We consider the relation between nonclassical symmetries and previously obtained solutions.
Keywords: Broadwell kinetic model, current function, symmetry.
Received: 15.01.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 179, Issue 3, Pages 679–688
DOI: https://doi.org/10.1007/s11232-014-0170-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. V. Ilyin, “Symmetries, the current function, and exact solutions for Broadwell's two-dimensional stationary kinetic model”, TMF, 179:3 (2014), 350–359; Theoret. and Math. Phys., 179:3 (2014), 679–688
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v179/i3/p350
    • This publication is cited in the following 8 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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