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

Computer Science – Sound

Scientific paper

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Galactic Rotation, Galactic Structure, Rotating Fluids, Spiral Galaxies, Astronomical Models, Rarefied Gas Dynamics, Viscous Fluids

Scientific paper

A stability theory is presented for a rotating gaseous disk and a rotating shallow water layer in the case of discontinuities in the rotation and sound velocities. Various instabilities of subsonic and supersonic flows are examined. The equivalence of a system of dynamic linearized equations of the gaseous galactic disk and of rotating shallow water is demonstrated using simulations on the Spiral system.

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