Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Volume 281, Pages 68–83
DOI: https://doi.org/10.1134/S0371968513020076 (Mi tm3471) 		 
Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions

P. I. Plotnikov, S. A. Sazhenkov

Lavrent'ev Institute of Hydrodynamics, Novosibirsk, Russia
Full-text PDF (253 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0371968513020076
Abstract: Equations describing the dynamics of a viscous gas are considered in a bounded space–time domain. It is assumed that the boundary values of density distributions oscillate rapidly. Limit regimes that arise when the oscillation frequencies tend to infinity are studied. As a result, a limit (averaged) model is constructed that contains full information on the limit oscillation regimes and includes an additional kinetic equation that has the form of the Boltzmann equation in the kinetic theory of gases.
Received in September 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2013, Volume 281, Pages 62–76
DOI: https://doi.org/10.1134/S008154381304007X
Bibliographic databases:
Document Type: Article
UDC: 517.958+531.332
Language: Russian
Citation: P. I. Plotnikov, S. A. Sazhenkov, “Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions”, Modern problems of mechanics, Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 281, MAIK Nauka/Interperiodica, Moscow, 2013, 68–83; Proc. Steklov Inst. Math., 281 (2013), 62–76
Citation in format AMSBIB
\Bibitem{PloSaz13}
\by P.~I.~Plotnikov, S.~A.~Sazhenkov
\paper Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions
\inbook Modern problems of mechanics
\bookinfo Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2013
\vol 281
\pages 68--83
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3471}
\crossref{https://doi.org/10.1134/S0371968513020076}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3479933}
\elib{https://elibrary.ru/item.asp?id=20193380}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2013
\vol 281
\pages 62--76
\crossref{https://doi.org/10.1134/S008154381304007X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000322390600007}
\elib{https://elibrary.ru/item.asp?id=21883299}
Linking options:
  • https://www.mathnet.ru/eng/tm3471
  • https://doi.org/10.1134/S0371968513020076
  • https://www.mathnet.ru/eng/tm/v281/p68
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:387
    Full-text PDF :75
    References:77
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024