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作者:

Wang, Shu (Wang, Shu.) | Zhao, Cai-Xia (Zhao, Cai-Xia.)

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摘要:

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.

关键词:

Partial differential equations Poisson equation Mathematical techniques Semiconductor junctions Diffusion

作者机构:

  • [ 1 ] [Wang, Shu]College of Applied Sciences, Beijing University of Technology, Beijing 100022, China
  • [ 2 ] [Zhao, Cai-Xia]He'nan Medicinal School, Kaifeng 475001, China

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来源 :

Journal of Beijing University of Technology

ISSN: 0254-0037

年份: 2005

期: 3

卷: 31

页码: 328-331

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