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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

  • 王术

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

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Source :

SIAM JOURNAL ON MATHEMATICAL ANALYSIS

ISSN: 0036-1410

Year: 2012

Issue: 2

Volume: 44

Page: 699-717

2 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 14

SCOPUS Cited Count: 12

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

Affiliated Colleges:

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