  This paper is concerned with the rigorous analysis of the zero electron mass
limit of the full Navier-Stokes-Poisson. This system has been introduced in the
literature by Anile and Pennisi (see [5]) in order to describe a hydrodynamic
model for charge-carrier transport in semiconductor devices. The purpose of
this paper is to prove rigorously zero electron mass limit in the framework of
general ill prepared initial data. In this situation the velocity field and the
electronic fields develop fast oscillations in time. The main idea we will use
in this paper is a combination of formal asymptotic expansion and rigorous
uniform estimates on the error terms. Finally we prove the strong convergence
of the full Navier Stokes Poisson system towards the incompressible Navier
Stokes equations.

Analysis of PDEs