The initial layer problem of the Euler-Poisson in collisionless plasma

In this paper, we study the initial layer problem of the Euler-Poisson in collisionless plasma that is rigorously proved by using the weighted energy method coupled with multiscaling asymptotic expansions. We apply a formal expansion for Debye length and derive the inner and the initial layer equations, which are used for deriving the error equations, and give out uniform estimate.