Applications of Mathematics, Vol. 66, No. 3, pp. 451-460, 2021
An improved regularity criteria for the MHD system based on two components of the solution
Zujin Zhang, Yali Zhang
Received October 4, 2019. Published online December 4, 2020.
Abstract: 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 $L^{\lambda}$ $(2\leq\lambda\leq6)$ 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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Affiliations: Zujin Zhang (corresponding author), Yali Zhang, School of Mathematics and Computer Sciences, Gannan Normal University, Ganzhou 341000, Jiangxi, P. R. China, e-mail: zhangzujin361@163.com, 1070469142@qq.com
