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Regular and Chaotic Dynamics, 2002, Volume 7, Issue 2, Pages 149–151
DOI: https://doi.org/10.1070/RD2002v007n02ABEH000201 (Mi rcd808) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Nonholonomic Systems

Integrability of the problem of rolling of a sphere with a multiply connected cavity filled with an ideal fluid

A. P. Markeev

Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow 117526, Vernadsky ave. 101, Russia
Citations (4)
DOI: https://doi.org/10.1070/RD2002v007n02ABEH000201
Abstract: In this paper we investigate the problem of rolling of a sphere over a fixed horizontal plane; it is assumed that the sphere has a multiply connected cavity with an ideal fluid in vortex-free motion. We show that the solution of the problem can be reduced to quadrature.
Bibliographic databases:
Document Type: Article
MSC: 37J60
Language: English
Citation: A. P. Markeev, “Integrability of the problem of rolling of a sphere with a multiply connected cavity filled with an ideal fluid”, Regul. Chaotic Dyn., 7:2 (2002), 149–151
Citation in format AMSBIB
\Bibitem{Mar02}
\by A. P. Markeev
\paper Integrability of the problem of rolling of a sphere with a multiply connected cavity filled with an ideal fluid
\jour Regul. Chaotic Dyn.
\yr 2002
\vol 7
\issue 2
\pages 149--151
\mathnet{http://mi.mathnet.ru/rcd808}
\crossref{https://doi.org/10.1070/RD2002v007n02ABEH000201}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1912980}
\zmath{https://zbmath.org/?q=an:1058.70004}
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  • https://www.mathnet.ru/eng/rcd/v7/i2/p149
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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