Nonlinear Asymptotic Stability of Gravitational Hydrostatic Equilibrium for Viscous White Dwarfs with Symmetric Perturbations

Tao Luo; Yan-Lin Wang; Huihui Zeng

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arXiv · 2201.12742

Nonlinear Asymptotic Stability of Gravitational Hydrostatic Equilibrium for Viscous White Dwarfs with Symmetric Perturbations

Tao Luo·Yan-Lin Wang·Huihui Zeng

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Abstract

We prove the nonlinear asymptotic stability of the gravitational hydrostatic equilibrium for the general equation of state of pressure-density relation in the framework of vacuum free boundary problem of spherically symmetric compressible Navier-Stokes-Poisson equations in three dimensions.The results apply to white dwarfs and polytropes with $\gamma\ge 2$, for which even the linearized asymptotic stability results are not available in literature, to the best of the authors' knowledge. Detailed decay rates of perturbations are given.

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Tao Luo, Yan-Lin Wang, Huihui Zeng. 2022-01-30. Nonlinear Asymptotic Stability of Gravitational Hydrostatic Equilibrium for Viscous White Dwarfs with Symmetric Perturbations. https://arxiv.org/abs/2201.12742

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