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Keywords:
MHD equations; regularity criteria
MHD equations; regularity criteria
Summary:
As observed by Yamazaki, the third component $b_3$ of the magnetic field can be estimated by the corresponding component $u_3$ of the velocity field in $L^{\lambda }$ $(2\leq \lambda \leq 6)$ norm. This leads him to establish regularity criterion involving $u_3, j_3$ or $u_3,\omega _3$. Noticing that $\lambda $ can be greater than 6 in this paper, we can improve previous results.
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