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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 5, Pages 13–25 (Mi pmtf2416)  
Analytical solution of boundary-value problems for the ellipsoidal statistical equation

A. V. Latyshev, A. A. Yushkanov

Moscow State Regional University, Moscow, 105005
Full-text PDF (258 kB)
Abstract: This paper describes an analytical method for solving semispatial boundary-value problems for the ellipsoidal statistical equation with a frequency proportional to the molecular velocity. The classical Smoluchowski problem of a temperature jump in a rarefied gas and weak vaporization (condensation) is solved. Numerical calculations of the obtained expressions are performed. A comparison is made with previous results.
Keywords: statistical equation, Smoluchowski problem, Riemann–Hilbert boundary-value problem.
Received: 11.08.2003
Accepted: 27.11.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 5, Pages 622–633
DOI: https://doi.org/10.1023/B:JAMT.0000037959.33294.3b
Bibliographic databases:
Document Type: Article
UDC: 533.72
Language: Russian
Citation: A. V. Latyshev, A. A. Yushkanov, “Analytical solution of boundary-value problems for the ellipsoidal statistical equation”, Prikl. Mekh. Tekh. Fiz., 45:5 (2004), 13–25; J. Appl. Mech. Tech. Phys., 45:5 (2004), 622–633
Citation in format AMSBIB
\Bibitem{LatYus04}
\by A.~V.~Latyshev, A.~A.~Yushkanov
\paper Analytical solution of boundary-value problems for the ellipsoidal statistical equation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 5
\pages 13--25
\mathnet{http://mi.mathnet.ru/pmtf2416}
\elib{https://elibrary.ru/item.asp?id=17249234}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 5
\pages 622--633
\crossref{https://doi.org/10.1023/B:JAMT.0000037959.33294.3b}
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