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| The Asymptotic Behavior of Global Smooth Solutions to the Macroscopic Models for Semiconductors |
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Citation： |
HSIAO Ling,WANG Shu.The Asymptotic Behavior of Global Smooth Solutions to the Macroscopic Models for Semiconductors[J].Chinese Annals of Mathematics B,2001,22(2):195~210 |
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Net amount： 868 |
Authors： |
HSIAO Ling; WANG Shu |
Foundation： |
Project supported by the National Natural Science Foundation of China, the Grant of MST of China, the National Natural Science Foundation of China for Youth (No.10001034) and the Chinese Postdoctoral Natural Science Foundation. |
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| Abstract： |
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 assumption on doping profile. Then, very sharp estimates on the smooth solutions, independence of the relaxation time, are obtained and used to establish the zero relaxation limit. |
Keywords： |
Hydrodynamic model, Semiconductors, Asymptotic behavior, Global smooth solution, Zero relaxation limit |
Classification： |
35L65, 76X05, 35M10, 35L70, 35Q60 |
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