首页> 中文期刊> 《数学物理学报:B辑英文版》 >STEADY-STATE SOLUTIONS FOR A ONE-DIMENSIONAL NONISENTROPIC HYDRODYNAMIC MODEL WITH NON-CONSTANT LATTICE TEMPERATURE

STEADY-STATE SOLUTIONS FOR A ONE-DIMENSIONAL NONISENTROPIC HYDRODYNAMIC MODEL WITH NON-CONSTANT LATTICE TEMPERATURE

             

摘要

A one-dimensional stationary nonisentropic hydrodynamic model for semicon- ductor devices with non-constant lattice temperature is studied.This model consists of the equations for the electron density,the electron current density and electron tempera- ture,coupled with the Poisson equation of the electrostatic potential in a bounded interval supplemented with proper boundary conditions.The existence and uniqueness of a strong subsonic steady-state solution with positive particle density and positive temperature is established.The proof is based on the fixed-point arguments,the Stampacchia truncation methods,and the basic energy estimates.

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