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- W1994444192 abstract "Abstract A Galerkin procedure is introduced for the solution of the linear stability problem for rotating fluids, expressed in terms of the Lagrangian displacement. The procedure preserves the symmetry properties of the relevant operators, thereby also preserving the essential dynamical structure present in the full problem. The finite-dimensional operators are further simplified if the basis is orthonormal. This procedure is described under two common assumptions regarding perturbations, that they obey the laws of gasdynamics or of incompressibility. The discovery of an appropriate basis is facilitated by two different kinds of orthogonal decomposition of the function space. One of these is a decomposition into three subspaces independently of the geometry of the underlying steady-state figure. The other depends on the geometry and, in the case when the underlying figure has the symmetry of an ellipsoid, splits the function space into eight mutually orthogonal subspaces." @default.
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- W1994444192 date "1989-08-01" @default.
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- W1994444192 title "The stability equations for rotating, inviscid fluids: Galerkin methods and orthogonal bases" @default.
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- W1994444192 doi "https://doi.org/10.1080/03091928908208913" @default.
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