@Article{JNMA-2-4, author = {Min, Cheng}, title = {Global Regularity of the Logarithmically Supercritical MHD System in Two-Dimensional Space}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2020}, volume = {2}, number = {4}, pages = {573--584}, abstract = {
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 $0<\alpha<\frac{1}{2}, β > 1, 3α + 2β > 3$.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.573}, url = {https://global-sci.com/article/88032/global-regularity-of-the-logarithmically-supercritical-mhd-system-in-two-dimensional-space} }