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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2010, Volume 6, Number 4, Pages 383–395 (Mi jmag160)  
This article is cited in 1 scientific paper (total in 1 paper)

Small oscillations of magnetizable ideal fluid

I. D. Borisova, T. Yu. Yatsenkob

a V.N. Karazin Kharkiv National University, 4 Svoboda Sq., Kharkiv, 61077, Ukraine
b Institute for Radiophysics and Electronics of NAS of Ukraine, 12 Proskura Str., Kharkiv, 61085, Ukraine
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Abstract: The small oscillations of a magnetizable ideal fluid in partially filled vessel are considered. Solvability of the initial-boundary problem is proved and the generic properties of the frequencies spectrum of normal free oscillations of fluid are determined. The principle of minimum of the potential energy in the problem on the stability of the fluid equilibrium states is proved.
Key words and phrases: magnetizable capillary fluid, equilibrium state, stability of equilibrium, small oscillations, spectrum of eigenfrequencies.
Received: 25.10.2009
Bibliographic databases:
Document Type: Article
MSC: 76W05
Language: Russian
Citation: I. D. Borisov, T. Yu. Yatsenko, “Small oscillations of magnetizable ideal fluid”, Zh. Mat. Fiz. Anal. Geom., 6:4 (2010), 383–395
Citation in format AMSBIB
\Bibitem{BorYat10}
\by I.~D.~Borisov, T.~Yu.~Yatsenko
\paper Small oscillations of magnetizable ideal fluid
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2010
\vol 6
\issue 4
\pages 383--395
\mathnet{http://mi.mathnet.ru/jmag160}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2789300}
\zmath{https://zbmath.org/?q=an:05897047}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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