A Remark on the Beale-Kato-Majda Criterion for the 3D MHD Equations with Zero Kinematic Viscosity

作     者：Sadek GALA Xiao-chun CHEN 

作者机构：Department of Mathematics University of Mostaganem Box 227 Mostaganem 27000 Algeria Department of Mathematics Chonqing Three Gorges University Wanzhou 404000 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2012年第28卷第2期

页      面：209-214页

核心收录：

学科分类：07[理学] 080103[工学-流体力学] 08[工学] 070104[理学-应用数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Magneto-hydrodynamic equations with zero viscosity B^0∞,∞ space blow-up criterion 

摘      要：In this paper, we study the blow-up criterion of smooth solutions to the 3D magneto-hydrodynamic system in B^0∞,∞. We show that a smooth solution of the 3D MHD equations with zero kinematic viscosity in the whole space R3 breaks down if and only if certain norm of the vorticity blows up at the same time.