The argument of the talk is the time evolution of a positively charged plasma
interacting with N positive point charges. Any particle of the plasma evolves
according to the Vlasov-Poisson equations to which a singular term has been
added and, viceversa, any charge is acted from the plasma and the other charges.
This interaction could in principle lead the system to collapses. I will show how
it is possible to get rid of this problem, at least in dimension 2, basing on the
repulsiveness of all the forces in the game.
Back to Workshop IV: Asymptotic Methods for Dissipative Particle Systems