Wave equation and dispersion relations for a compressible rotating fluid
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🧮 math-ph
math.MP
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fluidcompressibledispersionequationrelationsrotatingamplitudeanalyzed
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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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