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Abstract:
The quasi-neutral limit in a bipolar drift-diffusion model for semiconductors with physical contact-insulating boundary conditions, the general sign-changing doping profile and general initial data which allow the presence of the left and right boundary layers and the initial layers is studied in the one-dimensional case. The dynamic structure stability of the solution with respect to the scaled Debye length is proven by the asymptotic analysis of singular perturbation and the entropy-energy method. The key point of the proof is to use sufficiently the fact that the 'length' of the boundary layer is very small in a short time period. (C) 2009 Elsevier Ltd. All rights reserved.
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Source :
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN: 0362-546X
Year: 2010
Issue: 9-10
Volume: 72
Page: 3612-3626
1 . 4 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
JCR Journal Grade:1
CAS Journal Grade:2
Cited Count:
WoS CC Cited Count: 1
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 3
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