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作者:

Wang, Shu (Wang, Shu.) (学者:王术) | Wang, Ke (Wang, Ke.)

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EI Scopus SCIE

摘要:

The mixed layer problem and vanishing Debye length limit (space charge neutral limit) of the bipolar time-dependent drift-diffusion model for semiconductors with p-n junctions are studied in one space dimension. For the general sign-changing doping profile and the general initial data, the quasi-neutral limit is proven rigorously by constructing a more accurate approximate solution by taking into account the effects of the initial layer, the boundary layer, and an extra mixed layer mixing of the fast time and fast space scales, and by using an elaborate energy method.

关键词:

drift-diffusion equations mixed layer multiple scaling asymptotic expansions quasi-neutral limit singular perturbation

作者机构:

  • [ 1 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Ke]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

通讯作者信息:

  • 王术

    [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Ping Le Yuan 100, Beijing 100124, Peoples R China

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来源 :

SIAM JOURNAL ON MATHEMATICAL ANALYSIS

ISSN: 0036-1410

年份: 2012

期: 2

卷: 44

页码: 699-717

2 . 0 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:74

JCR分区:1

中科院分区:2

被引次数:

WoS核心集被引频次: 12

SCOPUS被引频次: 10

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

近30日浏览量: 2

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