Nonlinear Dynamical Stability of Newtonian Rotating and Non-rotating White Dwarfs and Rotating Supermassive Stars |
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Authors: | Tao Luo Joel Smoller |
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Institution: | (1) Department of Mathematics, Georgetown University, Washington, DC 20057-1233, USA;(2) Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1109, USA |
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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
white dwarf and high density supermassive (extreme relativistic) stars, stars which are in convective equilibrium and have
uniform chemical composition. Also, we prove nonlinear dynamical stability of non-rotating white dwarfs with general perturbation
without any symmetry restrictions. This paper is a continuation of our earlier work (26]). |
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