@article{Bravo-Olivares2022, 
author = {J. Bravo-Olivares and E. Fernández-Cara and E. Notte-Cuello and M.A. Rojas-Medar},
title = {Regularity criteria for 3D MHD flows in terms of spectral components},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {9},
pages = {3238-3248},
keywords = {MHD equations, Prodi-Serrin criteria, spectral Galerkin approximations, regularity},
url = {https://www.sciopen.com/article/10.3934/era.2022164},
doi = {10.3934/era.2022164},
abstract = {We extend the spectral regularity criteria of the Prodi-Serrin kind for the Navier-Stokes equations in a torus to the MHD equations. More precisely, the following is established: for any  N>0, let  xN and  yN be the sum of all spectral components of the velocity and magnetic field whose wave numbers possess absolute value greater that  N; then, it is possible to show that for any  N the finiteness of the Prodi-Serrin norm of  xN implies the regularity of the weak solution  (u,h); thus, no restriction on the magnetic field is needed.}
}