J. Nonl. Mod. Anal., 2 (2020), pp. 573-584.
Published online: 2021-04
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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 = {http://global-sci.org/intro/article_detail/jnma/18830.html} }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 $0<\alpha<\frac{1}{2}, β > 1, 3α + 2β > 3$.