A Regularity Criterion for the 3D Density-Dependent MHD Equations

Ahmad Mohammad Alghamdi; Sadek Gala; Maria Alessandra Ragusa; Zujin Zhang

doi:10.1007/s00574-020-00199-5

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A Regularity Criterion for the 3D Density-Dependent MHD Equations

Journal article

Peer reviewed

A Regularity Criterion for the 3D Density-Dependent MHD Equations

Ahmad Mohammad Alghamdi, Sadek Gala, Maria Alessandra Ragusa and Zujin Zhang

Boletim da Sociedade Brasileira de Matemática, Vol.52(2), pp.241-251

01/06/2021

DOI: https://doi.org/10.1007/s00574-020-00199-5

Abstract

Article

general

Mathematical and Computational Physics

Mathematics

Mathematics and Statistics

Theoretical

In this paper, we consider the 3D density-dependent magnetohydrodynamic equations with vacuum in the whole space R 3 , and provide a regularity criterion involving the velocity field in BMO space norm. This work generalizes the regularity criterion of the constant density MHD equations to the density-dependent one.

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Title: A Regularity Criterion for the 3D Density-Dependent MHD Equations
Creators - without role: Ahmad Mohammad Alghamdi - Faculty
Sadek Gala - Université de Mostaganem
Maria Alessandra Ragusa - University of Catania
Zujin Zhang - Gannan Normal University
Publication Details: Boletim da Sociedade Brasileira de Matemática, Vol.52(2), pp.241-251
Publisher: Springer Berlin Heidelberg
Identifiers: 9916185408331
Academic Unit: Imam Mohammad Ibn Saud Islamic University (IMSIU)
Language: English
Resource Type: Journal article