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Abstract:
The mixed layer problem and vanishing Debye length limit (space charge neutral limit) of the bipolar time-dependent drift-diffusion model for semiconductors with p-n junctions are studied in one space dimension. For the general sign-changing doping profile and the general initial data, the quasi-neutral limit is proven rigorously by constructing a more accurate approximate solution by taking into account the effects of the initial layer, the boundary layer, and an extra mixed layer mixing of the fast time and fast space scales, and by using an elaborate energy method.
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Source :
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN: 0036-1410
Year: 2012
Issue: 2
Volume: 44
Page: 699-717
2 . 0 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
JCR Journal Grade:1
CAS Journal Grade:2
Cited Count:
WoS CC Cited Count: 14
SCOPUS Cited Count: 12
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 9
Affiliated Colleges: