Equilibrium of stellar dynamical systems in the context of the Vlasov–Poisson model

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 quantitative hints about the equilibrium state associated to those systems.