Theory of gradient instabilities of the gaseous galactic disk and of rotating shallow water.

Computer Science – Sound

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Galactic Disks: Plasma, Galactic Disks: Gas Dynamics, Galactic Disks: Instabilities

Scientific paper

A theory is derived for the stability of a rotating gaseous disk and for a layer of shallow water in the case in which there are discontinuities in the rotation velocity, the sound velocity, and the surface density at the radius r = R. Various instabilities of subsonic and supersonic flows are analyzed. It is shown that the system of linearized dynamic equations of the gaseous galactic disk is identical to that for rotating shallow water in devices of the Spiral' type.

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