Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (3): 549-564.

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Logarithmical Regularity Criteria in Terms of Pressure for the Three Dimensional Dissipative System Modeling Electro-Hydrodynamics

Zhao Jihong1,2   

  1. 1 School of Mathematics and Information Science, Baoji University of Arts and Sciences, Shaanxi Baoji 721013;
    2 Institute of Applied Mathematics, College of Science, Northwest A & F University, Shaanxi Yangling 712100
  • Received:2016-10-31 Revised:2017-10-16 Online:2018-06-26 Published:2018-06-26
  • Supported by:
    Supported by the NSFC (11501453) and the Fundamental Research Project of Natural Science Foundation of Shaanxi Province-Young Talent Project (2015JQ1004)

Abstract: In this paper, logarithmically improved regularity criteria for the Navier-Stokes/Poisson-Nernst-Planck system are established in terms of both the pressure and the gradient of pressure in the homogeneous Besov spaces.

Key words: Electro-hydrodynamics, Navier-Stokes/Poisson-Nernst-Planck equations, Regularity criteria

CLC Number: 

  • O175.23
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