AN IMPROVED REGULARITY CRITERIA FOR THE MHD SYSTEM BASED ON TWO COMPONENTS OF THE SOLUTION

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 <= lambda <= 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.

Automated summary

Yamazaki observed that the third component b(3) of the magnetic field can be estimated by the corresponding component u(3) of the velocity field in a specific norm, leading to the establishment of regularity criteria. This paper points out that lambda can be greater than 6, allowing for improvements on previous results.