@article{Cheng2023, 
author = {Kun Cheng and Yong Zeng},
title = {On regularity criteria for MHD system in anisotropic Lebesgue spaces},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {8},
pages = {4669-4682},
keywords = {MHD system, regularity criteria, anisotropic Lebesgue space, sum spaces, Elsässer's variables},
url = {https://www.sciopen.com/article/10.3934/era.2023239},
doi = {10.3934/era.2023239},
abstract = {This paper concerns the regularity criteria of the three-dimensional magnetohydrodynamic (MHD) system in anisotropic Lebesgue spaces. Two regularity results were proved under additional assumptions on the horizontal components of the velocity field                      u             and the magnetic field                      B            , or directions of Elsässer's variables                      u              ±                    B            .}
}