  This short review is devoted to the problem of the equilibrium of stellar
dynamical systems in the context of the Vlasov-Poisson model. In a first part
we will review some classical problems posed by the application of the
Vlasov-Poisson model to the astrophysical systems like globular clusters or
galaxies. In a second part we will recall some recent numerical results which
may give us some some quantitative hints about the equilibrium state associated
to those systems.

Astrophysics