The stability equations for rotating, inviscid fluids: Galerkin methods and orthogonal bases

DOI10.1080/03091928908208913zbMath0675.76055OpenAlexW1994444192MaRDI QIDQ3830712

N. Lebovitz

Publication date: 1989

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091928908208913

zbMATH Keywords

Galerkin procedurefinite-dimensional operatorsLagrangian displacementlinear stability problem for rotating fluidssteady-state figure

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) General theory of rotating fluids (76U05)

Related Items (11)

Enumeration, orthogonality and completeness of the incompressible Coriolis modes in a tri-axial ellipsoid ⋮ Lax representation of Riemann ellipsoids ⋮ Latitudinal libration driven flows in triaxial ellipsoids ⋮ On the weakly nonlinear development of the elliptic instability ⋮ Acoustic and inertial modes in planetary-like rotating ellipsoids ⋮ Exact description of the spectrum of elliptical vortices in hydrodynamics and magnetohydrodynamics ⋮ Compressible fluid modes in rigid ellipsoids: towards modal acoustic velocimetry ⋮ Tilted incompressible Coriolis modes in spheroids ⋮ Inviscid instabilities in rotating ellipsoids on eccentric Kepler orbits ⋮ Precession-driven flows in stress-free ellipsoids ⋮ On a dynamo driven topographically by longitudinal libration

Cites Work

• The Self-Adjointness for Lagrangian Systems
• On the Stability of Differentially Rotating Bodies
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