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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

  • 王术

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

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Source :

SIAM JOURNAL ON MATHEMATICAL ANALYSIS

ISSN: 0036-1410

Year: 2006

Issue: 6

Volume: 37

Page: 1854-1889

2 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 34

SCOPUS Cited Count: 37

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 12

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