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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.
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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
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