On the stability of a top with a cavity filled with a viscous fluid

DOI10.1007/BF02482596zbMath0960.76037MaRDI QIDQ1281513

A. G. Kostyuchenko, M. Yu. Yurkin, A. A. Shkalikov

Publication date: 18 May 1999

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

linearizationHilbert spacespectrumevolution operatoroperator equationinstability indexcriterion for stability of motionheavy top filled by viscous incompressible fluidlarge viscositysymmetric top

Mathematics Subject Classification ID

Hydrodynamic stability (76E99) Stability problems in rigid body dynamics (70E50)

Related Items

Inertial motions of a rigid body with a cavity filled with a viscous liquid ⋮ Inversion of the Lagrange Theorem in the Problem of Stability of Rotating Viscous Incompressible Liquid ⋮ On the motion of a liquid-filled heavy body around a fixed point ⋮ A variational principle for three-dimensional interactions between water waves and a floating rigid body with interior fluid motion ⋮ On the Motion of a Fluid-Filled Rigid Body with Navier Boundary Conditions ⋮ On a differential game in a system described by an implicit differential-operator equation ⋮ Stability of a generalized Sobolev system ⋮ Andrei Andreevich Shkalikov (on his seventieth birthday) ⋮ Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity ⋮ A maximal regularity approach to the study of motion of a rigid body with a fluid-filled cavity ⋮ On a class of impulsive functional-differential equations with nonatomic difference operator

Cites Work

• Estimates of meromorphic functions and summability theorems
• Stability of certain classes of evolution equations
• The finite dimension property of small oscillations of a top with a cavity filled with an ideal fluid
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