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Abstract:
This paper is devoted to the rigorous justification of the quasi-neutral limit of bipolar transient drift-diffusion models for semiconductors with p-n junctions in the multidimensional space. The general initial data and smooth sign-changing doping profiles with good boundary conditions are considered. The limit is performed rigorously by using multiple scaling asymptotic analysis, in which one main point is the construction of a more accurate approximate solution involving the effect of initial layer. The uniform estimates with respect to the scaled Debye length are obtained through the elaborate energy method and the relative entropy functional method.
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Source :
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN: 0218-2025
Year: 2010
Issue: 9
Volume: 20
Page: 1649-1679
3 . 5 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
JCR Journal Grade:1
CAS Journal Grade:1
Cited Count:
WoS CC Cited Count: 6
SCOPUS Cited Count: 5
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 6
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