A Remark on the Regularity Criterion for the MHD Equations via Two Components in Morrey-Campanato Spaces. (25th June 2014)

• Record Type: Journal Article
• Authors: Zhang, Zujin; Tang, Tong; Zhang, Fumin
• Other Names: Saurel Richard Academic Editor.
• Is Part Of: Journal of difference equations. Volume 2014(2014)
• Publication Date: 2014-06-25
• Subjects: Difference equations -- Periodicals; Difference equations; Periodicals; 515.625
• DOI: 10.1155/2014/364269
• Languages: English
• ISSNs: 2356-7856

Abstract

Abstract : We consider the regularity criterion for the 3D MHD equations. It is proved that if the horizontal components of the velocity and magnetic fields satisfyu ~, b ~ ∈ L 2 / ( 1 - r ) ( 0, T ; M ˙ 2, 3 / r ) with0 < r < 1, then the solution smooth. This improves the result given by Gala (2012).