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New regularity criteria for the 3D Hall-MHD equations

Volume 121 / 2018

Ahmad Mohammad Alghamdi, Sadek Gala, Maria Alessandra Ragusa Annales Polonici Mathematici 121 (2018), 7-20 MSC: 35Q35, 35B65, 76W05. DOI: 10.4064/ap170823-23-1 Published online: 26 March 2018

Abstract

We prove some regularity criteria for smooth solutions of the three-dimensional incompressible Hall-magnetohydrodynamic equations involving only two components of the velocity and magnetic fields.

Authors

  • Ahmad Mohammad AlghamdiDepartment of Mathematical Science
    Faculty of Applied Science
    Umm Alqura University
    P. O. Box 14035, Makkah 21955, Saudi Arabia
  • Sadek GalaDépartement de sciences exactes
    École normale supérieure Mostaganem
    Kharouba, 27000, Mostaganem, Algeria
    and
    Dipartimento di Matematica e Informatica
    Università di Catania
    Viale Andrea Doria
    6 95125 Catania, Italy
    e-mail
  • Maria Alessandra RagusaDipartimento di Matematica e Informatica
    Università di Catania
    Viale Andrea Doria
    6 95125 Catania, Italy
    and
    RUDN University
    6 Miklukho-Maklay St.
    Moscow 117198, Russia

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