Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (1): 203-218.

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

Limin Jiang1,*(),Jinman He1,2()   

  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


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

CLC Number: 

  • O175