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AIMS Mathematics

2020, Volume 5, Issue 1: 359-375. doi: 10.3934/math.2020024
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Research article

The anisotropic integrability logarithmic regularity criterion to the 3D micropolar fluid equations

  • 1.
    Department of Mathematical Science, Faculty of Applied Science, Umm Alqura University, P. O. Box 14035, Makkah 21955, Saudi Arabia
  • 2.
    Department of Mathematics, ENS of Mostaganem, Box 227, Mostaganem 27000, Algeria
  • 3.
    Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria, 6 95125 Catania - Italy
  • 4.
    Department of Mathematical Education, Andong National University, Andong, Gyeongsangbuk-do, 36729, Korea (Republic of)
  • 5.
    RUDN University, 6 Miklukho - Maklay St, Moscow, 117198, Russia
  • Received: 15 August 2019 Accepted: 23 October 2019 Published: 21 November 2019

  • MSC : 35Q35, 35B65

  • The aim of this paper is to establish the regularity criterion of weak solutions to the 3D micropolar fluid equations by one directional derivative of the pressure in anisotropic Lebesgue spaces. We improve the regularity criterion for weak solutions previously given by Jia, Zhang and Dong in [21].

    Citation: Ahmad Mohammad Alghamdi, Sadek Gala, Jae-Myoung Kim, Maria Alessandra Ragusa. The anisotropic integrability logarithmic regularity criterion to the 3D micropolar fluid equations[J]. AIMS Mathematics, 2020, 5(1): 359-375. doi: 10.3934/math.2020024

    Related Papers:

  • The aim of this paper is to establish the regularity criterion of weak solutions to the 3D micropolar fluid equations by one directional derivative of the pressure in anisotropic Lebesgue spaces. We improve the regularity criterion for weak solutions previously given by Jia, Zhang and Dong in [21].


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