Short-Wavelength Instabilities of Riemann Ellipsoids

Details Short-Wavelength Instabilities of Riemann Ellipsoids Short-Wavelength Instabilities of Riemann Ellipsoids

Apr 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996rspsa.354..927l&link_type=abstract

Philosophical Transactions: Mathematical, Physical and Engineering Sciences, Volume 354, Issue 1709, pp. 927-950

Astronomy and Astrophysics

Astrophysics

2

Scientific paper

Perturbations of incompressible S-type Riemann ellipsoids are considered in the limit of short wavelength. This complements the classical consideration of perturbations of long wavelength. It is shown that there is very little of the parameter space in which the laminar, steady-state flow can exist in a stable state. This confirms, in a physically consistent framework, hydrodynamic-stability results previously obtained in the context of unbounded, two-dimensional flows. The configurations stable to perturbations of arbitrarily short wavelength include the rigidly rotating configurations of Maclaurin and Jacobi, as well as a narrow continuum centred on the family of irrotational ellipsoids and including the non-rotating sphere. However, most configurations departing even slightly from axial symmetry are unstable. Some of the implications of these results for the complexity of astrophysical flows are discussed.

Affiliated with

Also associated with

No associations

Rating

Short-Wavelength Instabilities of Riemann Ellipsoids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Short-Wavelength Instabilities of Riemann Ellipsoids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Short-Wavelength Instabilities of Riemann Ellipsoids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1108696