Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 2, Pages 15–22 (Mi vmumm4311)  
This article is cited in 4 scientific papers (total 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
Full-text PDF (251 kB) Citations (4)
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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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6222.2018.1
Lomonosov Moscow State University
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS
Received: 12.04.2019
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 2, Pages 65–71
DOI: https://doi.org/10.3103/S0027132220020035
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. V. Davydov, “Spectral analysis of integrodifferential operators arising in the study of flutter of a viscoelastic plate”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 2, 15–22; Moscow University Mathematics Bulletin, 75:2 (2020), 65–71
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :28
    References:35
    First page:4
     
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