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Wave equation and dispersion relations for a compressible rotating fluid

Jose Marin-Antuna, Richard L. Hall, Nasser Saad

math-pharXiv:math-ph/0610008

Abstract

A fundamental non-classical fourth-order partial differential equation to describe small amplitude linear oscillations in a rotating compressible fluid, is obtained. The dispersion relations for such a fluid, and the different regions of the group and phase velocity are analyzed.

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