Necessary conditions for the stability of rotating Newtonian stellar models

Details Necessary conditions for the stability of rotating Newtonian stellar models Necessary conditions for the stability of rotating Newtonian stellar models

Apr 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...267..402l&link_type=abstract

Astrophysical Journal, Part 1, vol. 267, Apr. 1, 1983, p. 402-408.

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6

Hydrodynamics, Rotating Fluids, Stellar Models, Stellar Rotation, Equations Of Motion, Mathematical Models, Perturbation Theory, Viscous Fluids

Scientific paper

It is shown that the positivity of a certain energy functional for the perturbations of a rotating stellar model is a necessary condition for stability. The stellar models considered are composed of viscous and thermally conducting fluid, whose equilibrium states are necessarily rigidly rotating and isothermal. The perturbations are not restricted to be adiabatic or axisymmetric. This work generalizes the results of Barston who proved an analogous necessity theorem for nonrotating dissipative fluid stellar models.

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