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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 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

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.

UDC: 539.3

Received: 02.04.2008


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2011, 66:1, 1–7

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