Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 6, Pages 32–38
DOI: https://doi.org/10.55959/MSU0579-9368-1-2022-6-32-38 (Mi vmumm4505) 		 
Mechanics

On the instability with probability one of equilibrium of ideal incompressible liquid situated in a vertical cylinder under its random coaxial vibration

I. L. Antonov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-2022-6-32-38
Abstract: The paper concerns with the equilibrium of the ideal incompressible liquid situated in a moving cylindrical vertical vessel. It is proved that the equilibrium is unstable with probability one if the vessel movement is defined as the vertical random vibration. Random vibration is simulated by stationary Markov chain.
Key words: ideal incompressible liquid, gravity force, cylindrical vessel, unstable equilibrium, random vibration, stationary Markov chain, probability one.
Received: 30.03.2022
English version:
Moscow University Mechanics Bulletin, 2022, Volume 77, Issue 6, Pages 155–161
DOI: https://doi.org/10.3103/S0027133022060024
Bibliographic databases:
Document Type: Article
UDC: 532
Language: Russian
Citation: I. L. Antonov, “On the instability with probability one of equilibrium of ideal incompressible liquid situated in a vertical cylinder under its random coaxial vibration”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 6, 32–38; Moscow University Mechanics Bulletin, 77:6 (2022), 155–161
Citation in format AMSBIB
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\by I.~L.~Antonov
\paper On the instability with probability one of equilibrium of ideal incompressible liquid situated in a vertical cylinder under its random coaxial vibration
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 6
\pages 32--38
\mathnet{http://mi.mathnet.ru/vmumm4505}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-2022-6-32-38}
\elib{https://elibrary.ru/item.asp?id=50095740}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2022
\vol 77
\issue 6
\pages 155--161
\crossref{https://doi.org/10.3103/S0027133022060024}
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