@Article{CMR-39-1,
author = {Xiangao, Liu and Yueli, Liu and Zixuan, Liu},
title = {Regularity for 3-D MHD Equations in Lorentz Space $L^{3,∞}$},
journal = {Communications in Mathematical Research },
year = {2023},
volume = {39},
number = {1},
pages = {107--135},
abstract = {<p style="text-align: justify;">The regularity for 3-D MHD equations is considered in this paper. It is proved that the solutions $(v,B,p)$ are Hölder continuous if the velocity field $v\in L^∞(0,T;L^{3,∞}_x (\mathbb{R}^3))$ with local small condition $$r^{−3}|\{ x∈B_r(x_0):|v(x,t_0)|&gt;εr^{−1}\}|≤\varepsilon$$ and the magnetic field $B∈L^ ∞(0,T;VMO^{−1} (\mathbb{R}^3))$.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2021-0048},
url = {https://global-sci.com/article/81452/regularity-for-3-d-mhd-equations-in-lorentz-space-l3}
}