| RELAXATION TIME LIMITS PROBLEM FOR HYDRODYNAMIC MODELS IN SEMICONDUCTOR SCIENCE |
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| 引用本文： | 黎勇. RELAXATION TIME LIMITS PROBLEM FOR HYDRODYNAMIC MODELS IN SEMICONDUCTOR SCIENCE[J]. 数学物理学报(B辑英文版), 2007, 27(2): 437-448. DOI: 10.1016/S0252-9602(07)60044-7 |
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| 作者姓名： | 黎勇 |
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| 作者单位： | College of |
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| 基金项目： | 国家博士后科学基金，国家自然科学基金青年学者基金，the Tsinghua Basic Research Foundation |
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| 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.
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| 关 键 词： | 半导体科学 水力模型 动量 弛豫时间极限 能量 |
| 收稿时间： | 2005-03-08 |
Relaxation time limits problem for hydrodynamic models in semiconductor science |
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| Yong Li,. Relaxation time limits problem for hydrodynamic models in semiconductor science[J]. Acta Mathematica Scientia, 2007, 27(2): 437-448. DOI: 10.1016/S0252-9602(07)60044-7 |
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| Authors: | Yong Li |
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| Affiliation: | aCollege of Applied Science, Beijing University of Technology, Beijing 100022, China Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
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| 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. |
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| Keywords: | Hydrodynamic models nonisentropic Euler-Poisson momentum relaxation time limit energy relaxation time limit |
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