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THE ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE MACROSCOPIC MODELS FOR SEMICONDUCTORS 被引量:4

THE ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE MACROSCOPIC MODELS FOR SEMICONDUCTORS
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摘要 The authors study the asymptotic behavior of the smooth solutions to the Cauchy problems for two macroscopic models (hydrodynamic and drift-diffusion models) for semiconductors and the related relaxation limit problem. First, it is proved that the solutions to these two systems converge to the unique stationary solution time asymptotically without the smallness assump- tion on doping profile. Then, very sharp estimates on the smooth solutions, independent of the relaxation time, are obtained and used to establish the zero relaxation limit.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第2期195-210,共16页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China, the Grant of MST of China,the National Natural Science
关键词 Hydrodynamic model SEMICONDUCTORS Asymptotic behavior Global smooth solution Zero relaxation limit 渐近状态 全局光滑解 半导体 流体动力学模型 柯西问题
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参考文献5

  • 1Luo T,SIAM J Appl Math,1998年,59卷,810页
  • 2Hsiao L,J Diff Eqs,1996年,125卷,329页
  • 3Zhang B,Commun Math Phys,1993年,157卷,1页
  • 4Hsiao L,The relaxation Hydrodynamic model Semiconductors to Drift diffusion equations
  • 5Zhang K J,待出版

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