Dynamics of gravitational systems with a large number of particles

ECTS : 6

Volume horaire : 21

Description du contenu de l'enseignement :

Reminder on differential equations

• Reminder on Hamiltonian systems
• Short reminder on measure and integration theories
• Elements on distributions
• Application to the Vlasov equation
• The Vlasov-Poisson system
• The BBGKY hierarchy, the hypothesis of molecular chaos
• The particular case of a cluster with spherical symmetry, an explicit solution

Bibliographie, lectures recommandées :

• Binney - Tremaine : Galactic Dynamics
• Cours polycopiés de F. Golse