Necessary conditions for the stability of rotating Newtonian stellar models

Journal Article · Fri Apr 01 04:00:00 EST 1983 · Astrophys. J.; (United States)

DOI:https://doi.org/10.1086/160878· OSTI ID:5916179

Lindblom, L

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.

• Research Organization: Institute of Theoretical Physics, Department of Physics, Stanford University
• OSTI ID: 5916179
• Journal Information: Astrophys. J.; (United States), Journal Name: Astrophys. J.; (United States) Vol. 267:1; ISSN ASJOA
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
DISTURBANCES
EQUATIONS
EQUATIONS OF MOTION
FLUID FLOW
FLUID MECHANICS
HYDRODYNAMICS
MATHEMATICAL MODELS
MECHANICS
MOTION
PARTIAL DIFFERENTIAL EQUATIONS
ROTATION
STABILITY
STAR MODELS
THERMODYNAMICS