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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 3, Pages 483–492
DOI: https://doi.org/10.4213/tmf6933 (Mi tmf6933) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Continuum analogue of bimodal distributions

V. D. Gordevskii, E. S. Sazonova

Karazin Kharkov National University, Kharkov, Ukraine
Full-text PDF (379 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf6933
Abstract: We consider the Boltzmann equation for the hard-sphere model. We construct an explicit approximate solution of this equation in the form of a continuum distribution in the case of global Maxwellians. We obtain some sufficient conditions for attaining the minimum of the uniform-integral mismatch between the sides of the equation.
Keywords: hard sphere, Boltzmann equation, Maxwellian, mismatch, continuum distribution.
Received: 20.07.2011
Revised: 12.09.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 3, Pages 839–847
DOI: https://doi.org/10.1007/s11232-012-0079-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. D. Gordevskii, E. S. Sazonova, “Continuum analogue of bimodal distributions”, TMF, 171:3 (2012), 483–492; Theoret. and Math. Phys., 171:3 (2012), 839–847
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6933
  • https://www.mathnet.ru/eng/tmf/v171/i3/p483
    • This publication is cited in the following 1 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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