数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (3): 385-394.

• 论文 • 上一篇    下一篇

ASYMPTOTIC BEHAVIOR OF
THE DRIFT-DIFFUSION SEMICONDUCTOR
EQUATIONS

郭秀兰,李开泰   

  1. Department of Mathematics, Luoyang Normal College, Luoyang 471022, China

    Faculty of Science, Xi’an Jiaotong University, Xi’an 710049, China
  • 出版日期:2004-07-20 发布日期:2004-07-20
  • 基金资助:

    This work is supported by the Funds of the Nature
    Science Research of Henan(10371111).

ASYMPTOTIC BEHAVIOR OF
THE DRIFT-DIFFUSION SEMICONDUCTOR
EQUATIONS

 GUO Xiu-Lan, LI Kai-Tai   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    This work is supported by the Funds of the Nature
    Science Research of Henan(10371111).

摘要:

This paper is devoted to the long time behavior for the Drift-diffusion semi-
conductor equations. It is proved that the dynamical system has a compact, connected
and maximal attractor when the mobilities are constants and generation-recombination
term is the Auger model; as well as the semigroup S(t) defined by the solutions map is
differential. Moreover the upper bound of Hausdorff dimension for the attractor is given.

Abstract:

This paper is devoted to the long time behavior for the Drift-diffusion semi-
conductor equations. It is proved that the dynamical system has a compact, connected
and maximal attractor when the mobilities are constants and generation-recombination
term is the Auger model; as well as the semigroup S(t) defined by the solutions map is
differential. Moreover the upper bound of Hausdorff dimension for the attractor is given.

Key words: Drift-diffusion model, auger term, attractor, Housdorff dimensions

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