数学物理学报(英文版)

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

黎野平   

  1. 咸宁学院数学系, 咸宁 437005
  • 收稿日期:2006-07-28 修回日期:1900-01-01 出版日期:2008-07-20 发布日期:2008-07-20
  • 通讯作者: 黎野平
  • 基金资助:

    Partly supported by the Educational Department of Hubei province (Q200628002) and the National Science Foundation of China (10701057)

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

Li Yeping   

  1. Department of Mathematics, Xianning College, Xianning 437005, China
    Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
  • Received:2006-07-28 Revised:1900-01-01 Online:2008-07-20 Published:2008-07-20
  • Contact: Li Yeping

摘要:

A one-dimensional stationary nonisentropic hydrodynamic model for semiconductor devices with non-constant lattice temperature is studied. This model consists of the equations for the electron density, the electron current
density and electron temperature, 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.

关键词: Steady-state, nonisentropic, hydrodynamic model, semiconductor, subsonic

Abstract:

A one-dimensional stationary nonisentropic hydrodynamic model for semiconductor devices with non-constant lattice temperature is studied. This model consists of the equations for the electron density, the electron current
density and electron temperature, 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.

Key words: Steady-state, nonisentropic, hydrodynamic model, semiconductor, subsonic

中图分类号: 

  • 35G30