Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 131, Number 2, Pages 179–193
DOI: https://doi.org/10.4213/tmf322 (Mi tmf322) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Solutions of Discrete-Velocity Boltzmann Equations via Bateman and Riccati Equations

O. Lindblom, N. Euler

Luleå University of Technology
Full-text PDF (230 kB) Citations (17)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf322
Abstract: We propose several approaches for solving two discrete-velocity Boltzmann equations using the rescaling ansatz and the truncated Painlev'e expansions. We use solutions of the two- and three-dimensional Bateman equations for the singularity manifold conditions to reduce the problem to Riccati equations. Both equations fail the Painlevé test.
Received: 02.08.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 2, Pages 595–608
DOI: https://doi.org/10.1023/A:1015428229008
Bibliographic databases:
Language: Russian
Citation: O. Lindblom, N. Euler, “Solutions of Discrete-Velocity Boltzmann Equations via Bateman and Riccati Equations”, TMF, 131:2 (2002), 179–193; Theoret. and Math. Phys., 131:2 (2002), 595–608
Citation in format AMSBIB
\Bibitem{LinEul02}
\by O.~Lindblom, N.~Euler
\paper Solutions of Discrete-Velocity Boltzmann Equations via Bateman and Riccati Equations
\jour TMF
\yr 2002
\vol 131
\issue 2
\pages 179--193
\mathnet{http://mi.mathnet.ru/tmf322}
\crossref{https://doi.org/10.4213/tmf322}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1932249}
\zmath{https://zbmath.org/?q=an:1031.82042}
\elib{https://elibrary.ru/item.asp?id=5034294}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 131
\issue 2
\pages 595--608
\crossref{https://doi.org/10.1023/A:1015428229008}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000176246100001}
Linking options:
  • https://www.mathnet.ru/eng/tmf322
  • https://doi.org/10.4213/tmf322
  • https://www.mathnet.ru/eng/tmf/v131/i2/p179
    • This publication is cited in the following 17 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
    Statistics & downloads:
    Abstract page:438
    Full-text PDF :243
    References:63
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024