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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 170, Number 3, Pages 481–488
DOI: https://doi.org/10.4213/tmf6780 (Mi tmf6780) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Stationary solutions of the kinetic Broadwell model

O. V. Ilyin

Dorodnitsyn Computation Center, RAS, Moscow, Russia
Full-text PDF (339 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf6780
Abstract: We consider a stationary discrete model of the Boltzmann equation for four velocities (the Broadwell model). We obtain new exact automodel solutions of the model corresponding to an incompressible and a compressible gas. We show that one class of solutions satisfies the problem of gas evaporation and condensation on the boundary of a disk and external space. The system turns out to be strongly nonequilibrium, and continuous medium equations are not applicable to it.
Keywords: kinetic Broadwell model, automodel solution.
Received: 10.04.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 170, Issue 3, Pages 406–412
DOI: https://doi.org/10.1007/s11232-012-0039-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. V. Ilyin, “Stationary solutions of the kinetic Broadwell model”, TMF, 170:3 (2012), 481–488; Theoret. and Math. Phys., 170:3 (2012), 406–412
Citation in format AMSBIB
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    • This publication is cited in the following 9 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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