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作者:

Wang, S (Wang, S.) (学者:王术) | Xin, ZP (Xin, ZP.) | Markowich, PA (Markowich, PA.)

收录:

EI Scopus SCIE

摘要:

In this paper the vanishing Debye length limit (space charge neutral limit) of bipolar time-dependent drift-diffusion models for semiconductors with p-n junctions (i.e., with a fixed bipolar background charge) is studied in one space dimension. For general sign-changing doping profiles, the quasi-neutral limit (zero-Debye-length limit) is justified rigorously in the spatial mean square norm uniformly in time. One main ingredient of our analysis is the construction of a more accurate approximate solution, which takes into account the effects of initial and boundary layers, by using multiple scaling matched asymptotic analysis. Another key point of the proof is the establishment of the structural stability of this approximate solution by an elaborate energy method which yields the uniform estimates with respect to the scaled Debye length.

关键词:

classical energy methods drift-diffusion equations lambda-weighted Liapunov-type functional multiple scaling asymptotic expansions quasi-neutral limit singular perturbation

作者机构:

  • [ 1 ] Beijing Univ Technol, Coll Sci, Beijing 100022, Peoples R China
  • [ 2 ] Chinese Univ Hong Kong, IMS, Shatin, Hong Kong, Peoples R China
  • [ 3 ] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
  • [ 4 ] Univ Vienna, Math Inst, A-1090 Vienna, Austria

通讯作者信息:

  • 王术

    [Wang, S]Beijing Univ Technol, Coll Sci, Ping Le Yuan 100, Beijing 100022, Peoples R China

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来源 :

SIAM JOURNAL ON MATHEMATICAL ANALYSIS

ISSN: 0036-1410

年份: 2006

期: 6

卷: 37

页码: 1854-1889

2 . 0 0 0

JCR@2022

ESI学科: MATHEMATICS;

JCR分区:1

被引次数:

WoS核心集被引频次: 31

SCOPUS被引频次: 34

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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