TY - JOUR
T1 - Global Regularity of the Logarithmically Supercritical MHD System in Two-Dimensional Space
AU - Cheng , Min
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 573
EP - 584
PY - 2021
DA - 2021/04
SN - 2
DO - http://doi.org/10.12150/jnma.2020.573
UR - https://global-sci.org/intro/article_detail/jnma/18830.html
KW - Logarithmically supercritical, MHD system, Global regularity.
AB - <p style="text-align: justify;">In this paper, we study the global regularity of logarithmically supercritical MHD equations in $2$ dimensional, in which the dissipation terms are $-\mu\Lambda^{2\alpha}u$ and $-\nu\mathcal{L}^{2\beta} b$. We show that global regular solutions in the cases $0&lt;\alpha&lt;\frac{1}{2},&nbsp;β &gt; 1, 3α + 2β &gt; 3$.</p>