Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors

The one-dimensional stationary full hydrodynamic model for semiconductor de vices with non-isentropic pressure is studied. This model consists of the e quations for the electron density, electron temperature, and electric field in a bounded domain supplemented with boundary conditions. The existence o f a classical subsonic solution with positive particle density and positive temperature is shown in two situations: non-constant and constant heat con ductivities. Moreover, we prove uniqueness of a classical solution in the l atter case. The existence proofs are based on elliptic estimates, Stampacch ia truncation methods, and fixed-paint arguments, (C) 2001 Academic Press.