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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 95, Number 3, Pages 530–540 (Mi tmf1484)  

This article is cited in 16 scientific papers (total in 16 papers)

Analytic solution to the problem of the temperature jump in a gas with rotational degrees of freedom

A. V. Latyshev, A. A. Yushkanov

Moscow Pedagogical University, Moscow, Russian Federation
References:
Abstract: An exact solution is obtained for the first time for the problem of the temperature jump in a gas with allowance for internal (rotational) degrees of freedom. The treatment is based on a model collision integral proposed by the authors. The problem reduces to the solution of a boundary-value problem for a linear vector transport equation with matrix kernel. Separation of the variable leads to a characteristic equation for which eigenvectors are found in a space of generalized functions and the eigenvalue spectrum is investigated. An expansion of the solution to the problem with respect to eigenvectors of the continuous and discrete spectra is established. On the basis of the conditions of solvability of the vector Riemann–Hilbert boundary-value problem which arises in the process of the proof, an exact (in closed form) expression is obtained for the temperature jump.
Received: 22.09.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 95, Issue 3, Pages 758–765
DOI: https://doi.org/10.1007/BF01017521
Bibliographic databases:
Language: Russian
Citation: A. V. Latyshev, A. A. Yushkanov, “Analytic solution to the problem of the temperature jump in a gas with rotational degrees of freedom”, TMF, 95:3 (1993), 530–540; Theoret. and Math. Phys., 95:3 (1993), 758–765
Citation in format AMSBIB
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\by A.~V.~Latyshev, A.~A.~Yushkanov
\paper Analytic solution to the problem of the temperature jump in a~gas with rotational degrees of freedom
\jour TMF
\yr 1993
\vol 95
\issue 3
\pages 530--540
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1243410}
\zmath{https://zbmath.org/?q=an:0853.76080}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 95
\issue 3
\pages 758--765
\crossref{https://doi.org/10.1007/BF01017521}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993ML77300009}
Linking options:
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  • https://www.mathnet.ru/eng/tmf/v95/i3/p530
  • This publication is cited in the following 16 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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    References:43
    First page:1
     
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