A note on the regularity criterion for 3D MHD equations in Ḃ∞,∞-1 space
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摘要
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 Ḃ∞,∞-1 spaces. We prove that if (∇×u,∇×B) belongs to the space L20,T;Ḃ∞,∞-1R3, then the solution (u,B) is regular. This extends recent results contained in Gala (2011) [3].
论文关键词:Magneto-hydrodynamic equations,BMO space,Weak solution,Regularity criterion
论文评审过程:Available online 4 May 2014.
论文官网地址:https://doi.org/10.1016/j.amc.2014.03.095