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

TL;DR

This paper reviews the equilibrium states of stellar systems modeled by Vlasov-Poisson equations, discussing classical problems and recent numerical insights into their equilibrium configurations.

Contribution

It provides a comprehensive overview of classical and recent results on stellar system equilibria within the Vlasov-Poisson framework.

Findings

Classical problems in stellar equilibrium models are discussed.

Recent numerical results offer quantitative insights into equilibrium states.

Abstract

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.