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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020 Number 2, Pages 15–22 (Mi vmumm4311)

This article is cited in 4 papers

Mathematics

Spectral analysis of integrodifferential operators arising in the study of flutter of a viscoelastic plate

A. V. Davydov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: This paper is focused on the study of the spectrum of the symbol of the equation describing the motion of a viscoelastic plate in a flow of fluid or gas. The lower bound of critical flow rate at which the motion becomes unstable is obtained using methods of operator analysis.

Key words: integrodifferential equation, spectral analysis, operator function, flatter of viscoelastic plate.

UDC: 511

Received: 12.04.2019


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, 75:2, 65–71

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