Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 463, Issue 2, Pages 989-1005Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2018.03.056
Keywords
Regularity criterion; Generalised MHD; Fractional Laplacian
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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In this paper, we consider the two-dimensional incompressible generalised magnetohydrodynamics equations. We obtain some regularity criteria to the corresponding equations in terms of the current density j or the vorticity omega. Our approach is based on a key observation on the nice structure of the incompressible magnetohydrodynamics equations. (C) 2018 Elsevier Inc. All rights reserved.
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