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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 2, Pages 303–314
DOI: https://doi.org/10.4213/tmf181 (Mi tmf181) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Vortices in a Gas of Hard Spheres

V. D. Gordevskii

V. N. Karazin Kharkiv National University
Full-text PDF (214 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf181
Abstract: We approximately describe the transition regime between two vortex-type flows in a gas of hard spheres. Such flows rotate as solid bodies about their axes, which in turn move translationally with arbitrary linear velocities. We study the asymptotic behavior of the integral norm of the discrepancy between the two sides of the Boltzmann equation under a special choice of hydrodynamic parameters of the distribution.
Keywords: hard spheres, Boltzmann equation, vortex-type flows.
Received: 15.03.2002
Revised: 05.08.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 2, Pages 704–713
DOI: https://doi.org/10.1023/A:1023678701199
Bibliographic databases:
Language: Russian
Citation: V. D. Gordevskii, “Vortices in a Gas of Hard Spheres”, TMF, 135:2 (2003), 303–314; Theoret. and Math. Phys., 135:2 (2003), 704–713
Citation in format AMSBIB
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\paper Vortices in a Gas of Hard Spheres
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\zmath{https://zbmath.org/?q=an:1178.82064}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 135
\issue 2
\pages 704--713
\crossref{https://doi.org/10.1023/A:1023678701199}
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  • https://www.mathnet.ru/eng/tmf181
  • https://doi.org/10.4213/tmf181
  • https://www.mathnet.ru/eng/tmf/v135/i2/p303
    • This publication is cited in the following 3 articles:
    1. V. D. Gordevskii, E. S. Sazonova, “Continuum analogue of bimodal distributions”, Theoret. and Math. Phys., 171:3 (2012), 839–847  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. V. D. Gordevskii, “Rotating flows with acceleration and compaction in the model of hard spheres”, Theoret. and Math. Phys., 161:2 (2009), 1558–1566  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. Chu, ZKH, “Transport of rarefied gases inside a vortex tube induced by a surface wave”, Zeitschrift fur Angewandte Mathematik und Physik, 57:3 (2006), 433  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    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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    References:99
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