Quasineutral limit of an Euler-Poisson system arising from plasma physics

In this paper, we study the quasineutral limit of an Euler-Poisson system arising from plasma physics i.e. the limit when the Debye length tends to 0 of a non linear hyperbolic system coupled with a non linear elliptic equation. The proof uses pseudodifferential energy estimates techniques, in order to justify classical limits in small time, for strong solutions.