迁移率互异的漂流扩散模型的拟中性极限和混合层问题
首发时间:2017-05-11
摘要:本文主要研究了迁移率互异的漂流扩散模型在一维有界区域一般初边值条件下的拟中性极限和混合层问题. 首先, 利用密度函数变换把原来模型转化成等价模型,研究等价模型的拟中性极限和混合层问题.其次,利用奇异摄动理论渐近匹配方法构造近似解函数,得出近似解函数性质;再其次,推导出误差函数; 最后,对误差函数进行能量估计,得到原方程解到约化方程解的收敛性.
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Quasineutral Limit and Mixed Layer Problem of Drift-Diffusion Model with Different Mobilities
Abstract:Reviews: The quasineutral limit and the mixed layer problem of bipolar drift-diffusion model with different mobilities for semiconductor are studied in one dimension. For the general initial data and the general boundary conditions, the quasineutral limit is proven rigorously by constructing a more accutate approximate solution by taking into account the effects of the initial layer, and an extra mixed layer mixing of the fast time and fast space scales, and by using an elaborate energy method.
Keywords: Applied Mathematics Drift-Diffusion Model Quasineutral Limit Mixed Layer
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