ON THE WELL‐POSEDNESS OF THE TWO‐DIMENSIONAL HYDRODYNAMIC MODEL FOR SEMICONDUCTOR DEVICES

Some results concerning the well‐posedness of the hydrodynamic model of semiconductor devices in two dimensions are given. We show the non‐ellipticity of the stationary model; give representations which exhibit its elliptic and hyperbolic components, and obtain some appropriate boundary conditions from an examination of the time‐dependent problem.