数学物理学报(英文版)

• 论文 • 上一篇    

RELAXATION TIME LIMITS PROBLEM FOR HYDRODYNAMIC MODELS IN #br# SEMICONDUCTOR SCIENCE

黎勇   

  1. 北京工业大学应用数理学院, 100022
  • 收稿日期:2005-03-08 修回日期:1900-01-01 出版日期:2007-04-20 发布日期:2007-04-20
  • 通讯作者: 黎勇
  • 基金资助:

    Supported by the Chinese Postdoctoral Science Foundation, the Young Scientists Funds of NSF of China (10401019), and the Tsinghua Basic Research Foundation.

RELAXATION TIME LIMITS PROBLEM FOR HYDRODYNAMIC MODELS IN #br# SEMICONDUCTOR SCIENCE

Li Yong   

  1. College of Applied Science, Beijing University of Technology, Beijing 100022, China
    Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
  • Received:2005-03-08 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20
  • Contact: Li Yong

摘要:

In this article, two relaxation time limits, namely, the momentum relaxation time limit and the energy relaxation time limit are considered. By the compactness argument, it is obtained that the smooth solutions of the multidimensional nonisentropic Euler--Poisson problem converge to the solutions of an energy transport model or a drift diffusion model, respectively, with respect to different time scales.

关键词: Hydrodynamic models, nonisentropic Euler-Poisson, momentum relaxation time limit, energy relaxation

Abstract:

In this article, two relaxation time limits, namely, the momentum relaxation time limit and the energy relaxation time limit are considered. By the compactness argument, it is obtained that the smooth solutions of the multidimensional nonisentropic Euler--Poisson problem converge to the solutions of an energy transport model or a drift diffusion model, respectively, with respect to different time scales.

Key words: Hydrodynamic models, nonisentropic Euler-Poisson, momentum relaxation time limit, energy relaxation

中图分类号: 

  • 35L65