Stability for steady states of Navier–Stokes–Poisson equations Original Research Article

In this paper, we study the stationary solution and nonlinear stability of Navier–Stokes–Poisson equations. Using variational method, we construct steady states of the N–S–P system as minimizers of a suitably defined energy functional, then show their dynamical stability against general, i.e. not necessarily spherically symmetric perturbation.