Inversion of Lagrange's theorem for a rigid body with a cavity containing a viscous liquid

DOI10.1016/0021-8928(90)90027-8zbMath0737.73065OpenAlexW1972533340MaRDI QIDQ1180847

S. Singh

Publication date: 27 June 1992

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(90)90027-8

zbMATH Keywords

perturbationssurface tensionLyapunov's direct methodviscous incompressible liquidexponential growth of the deviationslower and upper bounds for the solutions

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability of dynamical problems in solid mechanics (74H55) Stability for problems in linear vibration theory (70J25)

Related Items (8)

On the stability of a rigid body in a magnetostatic equilibrium. ⋮ On the converse Lagrange theorem in magnetohydrodynamics ⋮ Direct lyapunov method in nonlinear stability of complex flows ⋮ Stability of an isorotating liquid bridge between equal disks under zero-gravity conditions ⋮ A simple variational approach to a converse of the Lagrange-Dirichlet theorem ⋮ A sufficient condition for instability in the limit of vanishing dissipation ⋮ Interaction between internal and external friction in rotation of vane with viscous filling ⋮ A simple proof of the linear instability of rotating liquid drops

Cites Work

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• Inversion of Lagrange's theorem for a rigid body with a cavity containing an ideal liquid
• On the problem of dynamic contact angle
• Hydrodynamic stability and instability of fluid systems with interfaces
• Stability in systems with moving contact lines
• Contact-Line Problems in Fluid Mechanics
• On the theory of motion of rigid bodies with fluid-filled cavities

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