A note on the regularity criterion for 3D MHD equations in B-infinity,infinity(-1) space

作者：Benbernou Samia^*; Terbeche Mekki; Ragusa Maria Alessandra; Zhang Zujin

来源：Applied Mathematics and Computation, 2014, 238: 245-249.

DOI：10.1016/j.amc.2014.03.095

• Magneto-hydrodynamic equations
• BMO space
• Weak solution
• Regularity criterion

In this note, we consider sufficient conditions for the regularity of Leray Hoph Hopf solutions of the 3D incompressible magnetohydrodynamic equations via the velocity and magnetic fields in terms of B-infinity,infinity(-1) spaces. We prove that if (del * u, del * B) belongs to the space L-2 (0, T; B-infinity,infinity(-1)(R-3)) , then the solution (u,B) is regular. This extends recent results contained in Gala ( 2011) [ 3].

• 出版日期2014-7-1
• 单位赣南师范大学