Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2012-2pp.162-168

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I.Yu. Selivanova, "The equilibrium positions of an ellipsoid with a cavity containing a liquid on a horizontal plane," J. Appl. Math. Mech. 76 (2), 162-168 (2012)
Year 2012 Volume 76 Issue 2 Pages 162-168
Title The equilibrium positions of an ellipsoid with a cavity containing a liquid on a horizontal plane
Author(s) I.Yu. Selivanova (Moscow, Russia, iselivanova@gmail.com)
Abstract The equilibrium positions of an ellipsoid with an ellipsoidal cavity, partially filled with an ideal incompressible liquid, on a horizontal plane in a uniform gravitational field are considered. All trivial and non-trivial equilibrium positions are found and the conditions for their stability are obtained. The results are presented in the form of bifurcation diagrams.
Received 21 September 2010
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