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Abstract:
The quasineutral limit of drift-diffusion models for semiconductors with PN-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 yield the uniform estimates with respect to the scaled Debye length.
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Journal of Beijing University of Technology
ISSN: 0254-0037
Year: 2005
Issue: 3
Volume: 31
Page: 328-331
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SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
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Chinese Cited Count:
30 Days PV: 4
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