Stability properties of the Riemann ellipsoids

DOI10.1007/S002050100125zbMath1014.76010arXivmath/0002011MaRDI QIDQ5940659

Francesco Fassoò, Debra Lewis

Publication date: 12 August 2001

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0002011

zbMATH Keywords

Lyapunov stabilitycovering spaceHamiltonian perturbation theoryideal incompressible self-gravitating fluidNekhoroshev stabilityRiemann ellipsoidsspectral stability

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Hydrodynamic stability (76E99) Incompressible inviscid fluids (76B99)

Related Items (9)

The Hamiltonian description of incompressible fluid ellipsoids ⋮ Nonlinear stability of Riemann ellipsoids with symmetric configurations ⋮ The two-body problem of a pseudo-rigid body and a rigid sphere ⋮ The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids ⋮ On the formulation of new explicit conditions for steepness from a former result of N.N. Nekhoroshev ⋮ Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies ⋮ Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems ⋮ Dynamics of an isolated, viscoelastic, self-gravitating body ⋮ Figures of equilibrium of an inhomogeneous self-gravitating fluid

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