Mean field limit for interacting particles

Mean field limit for interacting particles P.E. Jabin Equipe Tosca, Inria, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis Laboratoire Dieudonne, Univ. de Nice, Parc Valrose, 06108 Nice cedex 02 Antoine Gerschenfeld Ecole Normale Superieure, Paris

• phase space


• limn fn


• xk ?xj


• initial condition


• then fn ?


• fn


• coulomb interaction


• vlasov equation


• take many