Nonlinear asymptotic stability of gravitational hydrostatic equilibrium for viscous white dwarfs with symmetric perturbations

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 for all \(\gamma >4/3\) $\gamma >4/3$ including the case of \(\gamma \ge 2\) $\gamma \ge 2$ which was not addressed in previous literature. Detailed decay rates of perturbations are given.