Regularity criterion for the 3D Hall-magnetohydrodynamic equations involving the vorticity. (October 2016)

• Record Type: Journal Article
• Authors: Ye, Zhuan
• Is Part Of: Nonlinear analysis. Volume 144(2016)
• Page Start: 182
• Page End: 193
• Publication Date: 2016-10
• Subjects: 35Q35 -- 35B65 -- 35Q85 -- 76W05; Incompressible Hall-MHD equations -- Regularity criterion; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.07.004
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we study the three-dimensional (3D) incompressible Hall-magnetohydrodynamic (Hall-MHD) equations and obtain its regularity criterion only in terms of the vorticity field. As a consequence, it improves the known results.