Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 35L65
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