| 关于等热双极半导体模型松弛极限的一个注记 |
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| 引用本文： | 王润青,毛建峰,黎野平.关于等热双极半导体模型松弛极限的一个注记[J].上海师范大学学报(自然科学版),2009,38(1). |
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| 作者姓名： | 王润青 毛建峰 黎野平 |
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| 作者单位： | 1. 上海师范大学,数理学院,上海,200234
2. 咸宁大学数学系,咸宁,437005 |
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| 基金项目： | 国家自然科学基金，Innovation Program of Shanghai Municipal Education Commission，Shanghai Nomad University |
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| 摘 要： | 在这个注记里,考虑了一维等热双极半导体模型.这个系统实际上是在动量方程有电场项和磨擦阻力项(阻力系数是τ-1)的欧拉一泊松方程组.当τ→O+,使用熵不等式和L1里的弱紧性原理,证明了一维等热双极半导体模型的弱熵解收敛到相应的双极漂移-扩散方程的解.也即是:当τ充分小时,等热双极半导体模型和相应的双极漂移-扩散方程是相似的.
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| 关 键 词： | 松驰 双极 等热 漂移-扩散方程 |
A note on the relaxation limit of the isothermal bipolar hydrodynamic model |
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| WANG Run-qing,MAO Jian-feng,LI Ye-ping.A note on the relaxation limit of the isothermal bipolar hydrodynamic model[J].Journal of Shanghai Normal University(Natural Sciences),2009,38(1). |
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| Authors: | WANG Run-qing MAO Jian-feng LI Ye-ping |
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| Institution: | 1.College of Mathematics and Sciences;Shanghai Normal University;Shanghai 200234;China;2.Department of Mathematics;Xianning College;Xianning 437005;China |
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| Abstract: | We consider the one-dimensional isothermal bipolar hydrodynamic model (Euler-Poisson system) for semiconductors or plasmas. This system takes the form of Euler-Poisson with electric field and frictional damping added to the momentum equations, with a friction coefficient τ-1 . When τ→0+, using the entropy inequality and de lutions converges to the solutions to the bipolar isothermal drift-diffusion equation. That is, when τ is small, the solutions of the bipolar hydrodynamic model and the corresponding drift-diffusion equation are similar. |
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| Keywords: | relaxation bipolar isothermal drift-diffusion equation |
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