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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 1, Pages 42–48 (Mi vmumm654)  
Mechanics

Stability of the Couette flow of ideal rigid-plastic bodies

V. N. Lapin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (368 kB)
Abstract: The general Rayleigh stability problem is studied for the plane flows of perfect rigid- plastic bodies. The stationary scattering theory is used for the Couette flow to describe the continuous and point spectra and to construct an expansion in eigenfunctions and generalized eigenfunctions. Some integral estimates are proposed for the stability of this flow.
Key words: perfect plasticity, Couette flow, stability, Friedrichs model.
Received: 02.04.2008
English version:
Moscow University Mechanics Bulletin, 2011, Volume 66, Issue 1, Pages 1–7
DOI: https://doi.org/doi.org/10.3103/S0027133011010018
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. N. Lapin, “Stability of the Couette flow of ideal rigid-plastic bodies”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 1, 42–48; Moscow University Mechanics Bulletin, 66:1 (2011), 1–7
Citation in format AMSBIB
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\by V.~N.~Lapin
\paper Stability of the Couette flow of ideal rigid-plastic bodies
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 1
\pages 42--48
\mathnet{http://mi.mathnet.ru/vmumm654}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2848768}
\zmath{https://zbmath.org/?q=an:06774405}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2011
\vol 66
\issue 1
\pages 1--7
\crossref{https://doi.org/doi.org/10.3103/S0027133011010018}
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