Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 45, Issue -, Pages 320-356Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2018.07.014
Keywords
MHD equations; Fractional dissipation; Partial dissipation; Global regularity
Categories
Funding
- Foundation of Jiangsu Normal University [16XLR029]
- Natural Science Foundation of Jiangsu Province [BK20170224]
- National Natural Science Foundation of China [11701232]
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This paper is dedicated to establishing the global regularity for the two dimensional magnetohydrodynamic equations with fractional anisotropic dissipation when the fractional powers are restricted to some certain ranges. In addition, the global regularity results for the two dimensional magnetohydrodynamic equations with partial dissipation are also obtained. Consequently, these results bring us more closer to the resolution of the global regularity problem on the two dimensional magnetohydrodynamic equations with standard Laplacian magnetic diffusion. (C) 2018 Elsevier Ltd. All rights reserved.
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