Asymptotic Analysis In A One-dimensional Steady-state Nonisentropic Hydrodynamic Model For Semiconductors

In this thesis, we discuss the hydrodynamic model from semiconductor devices.First, in a bounded interval supplemented by the proper boundary conditions, weinvestigate the zero-electron-mass limit and the zero-relaxation-time limit of stationarysolutions for a one-dimensional unipolar nonisentropic hydrodynamic semiconductor modelby using the method of energy estimates.Next, for a one-dimensional bipolar nonisentropic hydrodynamic semiconductor mod-el, we show the unique existence of stationary solutions under the standard theory ofthe second elliptic equations and Schauder fixed point theorem, then we discuss the zero-electron-mass limit of stationary solutions with proper boundary conditions.