A new shear instability in rotating, self-gravitating, perfect fluids

Details A new shear instability in rotating, self-gravitating, perfect fluids A new shear instability in rotating, self-gravitating, perfect fluids

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.216..897b&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 216, Oct. 15, 1985, p. 897-908. SERC-supported research

Astronomy and Astrophysics

Astronomy

10

Dynamic Stability, Ideal Fluids, Rotating Cylinders, Shear Properties, Angular Velocity, Modal Response, Perturbation Theory

Scientific paper

A three-parameter family of exact models of differentially rotating incompressible cylinders is constructed and used to investigate the effect of shear on both dynamical and secular instabilities. It is found that shear causes a dynamical instability which is not present for uniform rotation, for slower rotation velocities than the usual rotation-induced instability. The shear has, however, little effect on secular instability to gravitational radiation. It is also shown that discrete modes within the continuous spectrum will in general be singular.

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