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Stability of a Generalized Sobolev System
Authors:Andrés Fraguela  Alma L González  Raúl Felipe
Institution:(1) Faculty of Mathematical Physics, BUAP, Apdo. Postal 1152, CP. 72000 Puebla, México;(2) CIMAT, Callejon Jalisco S/N, Valenciana. Apdo., Postal 402, CP 36000 Guanajuato, México;(3) ICIMAF, Calle E, No 309 esquina a 15, Ciudad de la Habana, Cuba
Abstract:The linear stability problem of the rotational motion of a rigid body around a fixed point containing an inner cavity filled up with an ideal fluid is considered. In this paper, we also assume that the fluid is rotating. The effect of the angular velocities of the rigid body and the fluid in the stability problem is studied. The case of a cavity ellipsoidal is presented in detail.
Keywords:35P05  35Q35
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