Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 3, Pages 35–38 (Mi vmumm405)  
Mechanics

Flow of a plastically anisotropic layer between parallel planes in a region with a sink

I. A. Kiiko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A self-similar solution to the problem of flow of a plastically anisotropic layer between parallel planes in a region with a sink is constructed. The problem is reduced to an unstudied Riccati equation with a small parameter. The perturbation method is used to find two different solutions of the problem written in quadratures.
Key words: plastically anisotropic layer, sink, Riccati equation, perturbation method.
Received: 09.04.2012
English version:
Moscow University Mechanics Bulletin, 2013, Volume 68, Issue 3, Pages 57–60
DOI: https://doi.org/10.3103/S0027133013030011
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: I. A. Kiiko, “Flow of a plastically anisotropic layer between parallel planes in a region with a sink”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 3, 35–38; Moscow University Mechanics Bulletin, 68:3 (2013), 57–60
Citation in format AMSBIB
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\by I.~A.~Kiiko
\paper Flow of a plastically anisotropic layer between parallel planes in a region with a sink
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 3
\pages 35--38
\mathnet{http://mi.mathnet.ru/vmumm405}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2013
\vol 68
\issue 3
\pages 57--60
\crossref{https://doi.org/10.3103/S0027133013030011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84880107957}
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