Wave equation and dispersion relations for a compressible rotating fluid
arXiv:math-ph/0610008 · doi:10.1016/j.physleta.2006.10.005
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.
9 pages