QUASI-NEUTRAL LIMIT AND THE INITIAL LAYER PROBLEM OF THE DRIFT-DIFFUSION MODEL

doi:10.1007/s10473-020-0419-8

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (4): 1152-1170.doi: 10.1007/s10473-020-0419-8

• 论文 • 上一篇

QUASI-NEUTRAL LIMIT AND THE INITIAL LAYER PROBLEM OF THE DRIFT-DIFFUSION MODEL

王术^1,2, 姜利敏^1,3

1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China;
2. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China;
3. College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China

收稿日期:2019-03-08 修回日期:2019-10-15 出版日期:2020-08-25 发布日期:2020-08-21
通讯作者: Limin JIANG E-mail:ajiang2001@126.com
作者简介:Shu WANG,E-mail:wangshu@bjut.edu.cn
基金资助:
Supported by NSFC (11831003, 11771031, 11531010, and 11726625) of China; NSFQH (2017-ZJ-908) of China; the Beijing Postdoctoral Science Foundation (2018-ZZ-020) and the Chaoyang District Postdoctoral Science Foundation (2018ZZ-01-12).

QUASI-NEUTRAL LIMIT AND THE INITIAL LAYER PROBLEM OF THE DRIFT-DIFFUSION MODEL

Shu WANG^1,2, Limin JIANG^1,3

1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China;
2. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China;
3. College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China

Received:2019-03-08 Revised:2019-10-15 Online:2020-08-25 Published:2020-08-21
Contact: Limin JIANG E-mail:ajiang2001@126.com
Supported by:
Supported by NSFC (11831003, 11771031, 11531010, and 11726625) of China; NSFQH (2017-ZJ-908) of China; the Beijing Postdoctoral Science Foundation (2018-ZZ-020) and the Chaoyang District Postdoctoral Science Foundation (2018ZZ-01-12).

摘要/Abstract

摘要： In this article we study quasi-neutral limit and the initial layer problem of the drift-diffusion model. Different from others studies, we consider the physical case that the mobilities of the charges are different. The quasi-neutral limit with an initial layer structure is rigorously proved by using the weighted energy method coupled with multi-scaling asymptotic expansions.

关键词: initial layer, weighted energy functional, multiple scaling asymptotic expansions

Abstract: In this article we study quasi-neutral limit and the initial layer problem of the drift-diffusion model. Different from others studies, we consider the physical case that the mobilities of the charges are different. The quasi-neutral limit with an initial layer structure is rigorously proved by using the weighted energy method coupled with multi-scaling asymptotic expansions.

Key words: initial layer, weighted energy functional, multiple scaling asymptotic expansions

中图分类号:

35Q35

王术, 姜利敏. QUASI-NEUTRAL LIMIT AND THE INITIAL LAYER PROBLEM OF THE DRIFT-DIFFUSION MODEL[J]. 数学物理学报(英文版), 2020, 40(4): 1152-1170.

Shu WANG, Limin JIANG. QUASI-NEUTRAL LIMIT AND THE INITIAL LAYER PROBLEM OF THE DRIFT-DIFFUSION MODEL[J]. Acta mathematica scientia,Series B, 2020, 40(4): 1152-1170.

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QUASI-NEUTRAL LIMIT AND THE INITIAL LAYER PROBLEM OF THE DRIFT-DIFFUSION MODEL

QUASI-NEUTRAL LIMIT AND THE INITIAL LAYER PROBLEM OF THE DRIFT-DIFFUSION MODEL

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