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Volume 30, Issue 3
Mixed Layer Problem of a Three-Dimensional Drift-Diffusion Model for Semiconductors

Chundi Liu, Shu Wang & Wenqing Xu

DOI: 10.4208/jpde.v30.n3.6

J. Part. Diff. Eq., 30 (2017), pp. 264-280.

Published online: 2017-08

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  • Abstract
The quasineutral limit and the mixed layer problem of a three-dimensional drift-diffusion model is discussed in this paper. For the Neumann boundaries and the general initial data, the quasineutral limit is proven rigorously with the help of the weighted energy method, the matched asymptotic expansion method of singular perturbation problem and the entropy production inequality.
  • Keywords

Drift-diffusion model quasineutral limit mixed layer

  • AMS Subject Headings

35B25, 35B40, 35K57

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

liu_chundi@emails.bjut.edu.cn (Chundi Liu)

wangshu@bjut.edu.cn (Shu Wang)

xwq@bjut.edu.cn (Wenqing Xu)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-30-264, author = {Liu , ChundiWang , Shu and Xu , Wenqing}, title = {Mixed Layer Problem of a Three-Dimensional Drift-Diffusion Model for Semiconductors}, journal = {Journal of Partial Differential Equations}, year = {2017}, volume = {30}, number = {3}, pages = {264--280}, abstract = { The quasineutral limit and the mixed layer problem of a three-dimensional drift-diffusion model is discussed in this paper. For the Neumann boundaries and the general initial data, the quasineutral limit is proven rigorously with the help of the weighted energy method, the matched asymptotic expansion method of singular perturbation problem and the entropy production inequality.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v30.n3.6}, url = {http://global-sci.org/intro/article_detail/jpde/10469.html} }
TY - JOUR T1 - Mixed Layer Problem of a Three-Dimensional Drift-Diffusion Model for Semiconductors AU - Liu , Chundi AU - Wang , Shu AU - Xu , Wenqing JO - Journal of Partial Differential Equations VL - 3 SP - 264 EP - 280 PY - 2017 DA - 2017/08 SN - 30 DO - http://doi.org/10.4208/jpde.v30.n3.6 UR - https://global-sci.org/intro/article_detail/jpde/10469.html KW - Drift-diffusion model KW - quasineutral limit KW - mixed layer AB - The quasineutral limit and the mixed layer problem of a three-dimensional drift-diffusion model is discussed in this paper. For the Neumann boundaries and the general initial data, the quasineutral limit is proven rigorously with the help of the weighted energy method, the matched asymptotic expansion method of singular perturbation problem and the entropy production inequality.
ChundiLiu, Shu Wang & Wenqing Xu. (2019). Mixed Layer Problem of a Three-Dimensional Drift-Diffusion Model for Semiconductors. Journal of Partial Differential Equations. 30 (3). 264-280. doi:10.4208/jpde.v30.n3.6
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