On the stability of rotating liquid stars

Details On the stability of rotating liquid stars On the stability of rotating liquid stars

Jan 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981scisn..24...61x&link_type=abstract

Scientia Sinica, vol. 24, Jan. 1981, p. 61-73.

Mathematics

Coriolis Effect, Dynamic Stability, Rotating Liquids, Stellar Models, Stellar Rotation, Variational Principles, Viscosity, Binary Stars, Calculus Of Variations, Incompressible Fluids, Mathematical Models, Secular Variations, Stellar Gravitation

Scientific paper

The variational method of non-adjoint operator is applied to prove that the stability criteria of rotating liquid stars, which depend on all the normal modes of oscillation, are consistent with secular stability criteria. Experimental evidence is provided by the Columbus problem, and it is shown how secular instability depends on initial infinitesimal amplitude increasing exponentially with time. The stability concept of vortex-lines is used to explain the essence of interaction between the viscosity and the Coriolis force, and it is proved theoretically that the stabilizing effect of Coriolis force is false

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