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

Tao Luo Department of Mathematics, City University of Hong Kong, Kowloon Tong, Hong Kong SAR, China Yan-Lin Wang YMSC, Tsinghua University, Beijing, China Huihui Zeng YMSC, Tsinghua University, Beijing, China

Analysis of PDEs mathscidoc:2204.03007

2022.3
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 γ≥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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@inproceedings{tao2022nonlinear,
  title={Nonlinear Asymptomatic Stability of Gravitational Hydrostatic Equilibrium for Viscous White Dwarfs with Symmetric Perturbations},
  author={Tao Luo, Yan-Lin Wang, and Huihui Zeng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220428131844332971135},
  year={2022},
}
Tao Luo, Yan-Lin Wang, and Huihui Zeng. Nonlinear Asymptomatic Stability of Gravitational Hydrostatic Equilibrium for Viscous White Dwarfs with Symmetric Perturbations. 2022. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220428131844332971135.
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