| Density-Dependent Magnetohydrodynamic Equations with Velocity and Magnetic Fields in Besov Spaces of Negative Order |
| Received:October 30, 2015 Revised:July 26, 2016 |
| Key Words:
density-dependent MHD equations regularity criterion Besov spaces
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| Fund Project:Supported by the Natural Science Foundation of Jiangxi Province (Grant No.20151BAB201010) and the National Natural Science Foundation of China (Grant Nos.11501125; 11361004). |
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| Abstract: |
| In this paper, we consider the density-dependent magnetohydrodynamic equations with vacuum, and provide a regularity criterion involving the velocity and magnetic fields in Besov space of negative order, which improves [Jishan FAN, Fucai LI, G. NAKAMURA, Zhong TAN, Regularity criteria for the three-dimensional magnetohydrodynamic equations. J. Differential Equations, 2014, {\bf 256}(8): 2858--2875] in some sense. The method is to establish a new bilinear estimate. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2016.06.007 |
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