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Author:

Wang, S (Wang, S.) (Scholars:王术)

Indexed by:

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 the multi-dimensional case. For generally smooth sign-changing doping profiles with good boundary conditions, the quasineutral limit (zero-Debye-length limit) is justified rigorously in the Sobolev's norm uniformly in time. The proof is based on the elaborate energy method and the relative entropy functional method which yields the uniform estimates with respect to the scaled Debye length.

Keyword:

quasineutral limit drift-diffusion-Poisson equations classical energy methods lambda-weighted Lyapunov-type functional

Author Community:

  • [ 1 ] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

Reprint Author's Address:

  • 王术

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

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Source :

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

ISSN: 0218-2025

Year: 2006

Issue: 4

Volume: 16

Page: 537-557

3 . 5 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 13

SCOPUS Cited Count: 15

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

Affiliated Colleges:

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