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

Incompressible type limit analysis of a hydrodynamic model for charge-carrier transport