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

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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. 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 Limin1,*(),He Jinman1,2()   

  1. 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:

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