The zero-electron-mass limit for a stationary nonisentropic hydrodynamic semiconductor model

Abstract

In this paper, we study a general multidimensional nonisentropic hydrodynamical model for semiconductors. The model is self-consistent in the sense that the electric field, which forms a forcing term in the momentum equation, is determined by the coupled Poisson equation. For steady state, subsonic and potential flows, we discuss the zero-electron-mass limit of system by using the method of asymptotic expansions. We show the existence and uniqueness of profiles, and justify the asymptotic expansions up to any order.