Year: 2020
Author: Min Cheng
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 4 : pp. 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 $0<\alpha<\frac{1}{2}, β > 1, 3α + 2β > 3$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.573
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 4 : pp. 573–584
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Logarithmically supercritical MHD system Global regularity.