迁移率互异的可压电扩散模型的拟中性极限

数学物理学报 ›› 2023, Vol. 43 ›› Issue (1): 203-218.

迁移率互异的可压电扩散模型的拟中性极限

姜利敏^1,^*(),贺金满^1,²()

¹中原工学院理学院郑州450007
²郑州大学数学与统计学院郑州450001

收稿日期:2022-03-21 修回日期:2022-08-05 出版日期:2023-02-26 发布日期:2023-03-07
通讯作者: ^*姜利敏, E-mail: ajiang2001@126.com
作者简介:贺金满, E-mail: hejinman1026@163.com
基金资助:
国家自然科学基金(12102492);河南省高等学科重点科研项目(22A110027);河南省博士后基金

Quasi-Neutral Limit of Compressible Electro-Diffusion System with the Different Mobilities

Jiang Limin^1,^*(),He Jinman^1,²()

¹College of Science, Zhongyuan University of Technology, Zhengzhou 450007
²College of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001

Received:2022-03-21 Revised:2022-08-05 Online:2023-02-26 Published:2023-03-07
Supported by:
The NSFC(12102492);Key Research Projects of Henan Higher Education Institutions(22A110027);Henan Postdoctoral Foundation

摘要/Abstract

摘要：

该文应用 Sobolev 嵌入不等式、Green 公式以及加权的能量方法, 研究了电解液中迁移率互异的可压电扩散模型(Planck-Nernest-Poisson-Navier-Stokes) 的拟中性极限.

关键词: 能量方法, 拟中性极限, 索伯列夫不等式

Abstract:

In this paper, by using the Sobolev inequality, the Green formula coupling and the elaborate energy method, we study the quasi-neutral limit of compressible Planck-Nernest-Poisson-Navier-Stokes(PNPNS) system with the general mobilities of two kinds of charges, which arises in the electro-hydrodynamics.

Key words: Energy method, Quasi-neutral limit, Sobolev inequality

中图分类号:

O175

姜利敏, 贺金满. 迁移率互异的可压电扩散模型的拟中性极限[J]. 数学物理学报, 2023, 43(1): 203-218.

Jiang Limin, He Jinman. Quasi-Neutral Limit of Compressible Electro-Diffusion System with the Different Mobilities[J]. Acta mathematica scientia,Series A, 2023, 43(1): 203-218.

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