Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars

Abstract

We prove general nonlinear stability and existence theorems for rotating star solutions which are axi-symmetric steady-state solutions of the compressible isentropic Euler-Poisson equations in 3 spatial dimensions. We apply our results to rotating and non-rotating white dwarf, and rotating high density supermassive (extreme relativistic) stars, stars which are in convective equilibrium and have uniform chemical composition. This paper is a continuation of our earlier work ([28]).

References in corpus (1)

• Non-linear stability of gaseous stars

Cited by in corpus (8)

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• A sharp local blow-up condition for Euler-Poisson equations with attractive forcing
• Global Finite-Energy Solutions of the Compressible Euler-Poisson Equations for General Pressure Laws with Spherical Symmetry
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• A Model of Radiational Gaseous Stars
• On Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem
• Blow-up of Smooth Solutions to the Euler-Poisson Equations