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Author:

Hsiao, Ling (Hsiao, Ling.) | Wang, Shu (Wang, Shu.) (Scholars:王术)

Indexed by:

Scopus SCIE

Abstract:

In this paper the vanishing Debye length limit of the bipolar time-dependent drift-diffusion-Poisson equations modelling insulated semiconductor devices with p-n junctions (i.e., with a fixed bipolar background charge) is studied. For sign-changing and smooth doping profile with 'good' boundary conditions the quasineutral limit (zero-Debye-length limit) is performed rigorously by using the multiple scaling asymptotic expansions of a singular perturbation analysis and the carefully performed classical energy methods. The key point in the proof is to introduce a 'density' transform and two L-weighted Liapunov-type functionals first, and then to establish the entropy production integration inequality, which yields the uniform estimate with respect to the scaled Debye length. The basic point of the idea involved here is to control strong nonlinear oscillation by the interaction between the entropy and the entropy dissipation. (c) 2006 Elsevier Inc. All rights reserved.

Keyword:

multiple scaling asymptotic expansions time-dependent drift-diffusion equations gimel-weighted Liapunov-type functional quasineutral limit p-n junction

Author Community:

  • [ 1 ] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
  • [ 2 ] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

Reprint Author's Address:

  • 王术

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

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Source :

JOURNAL OF DIFFERENTIAL EQUATIONS

ISSN: 0022-0396

Year: 2006

Issue: 2

Volume: 225

Page: 411-439

2 . 4 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 15

SCOPUS Cited Count: 15

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

Affiliated Colleges:

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