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

作者：Gala, Sadek^*; Chen, Xiao-chun

来源：Acta Mathematicae Applicatae Sinica-English Series, 2012, 28(2): 209-214.

DOI：10.1007/s10255-012-0140-z

• Magneto-hydrodynamic equations with zero viscosity
• (B) over dot(infinity,infinity)(0) space
• blow-up criterion

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

• 出版日期2012-5
• 单位三峡大学