Density-Dependent Magnetohydrodynamic Equations with Velocity and Magnetic Fields in Besov Spaces of Negative Order
Received:October 30, 2015  Revised:July 26, 2016
Key Word: density-dependent MHD equations   regularity criterion   Besov spaces  
Fund ProjectL:Supported by the Natural Science Foundation of Jiangxi Province (Grant No.20151BAB201010) and the National Natural Science Foundation of China (Grant Nos.11501125; 11361004).
Author NameAffiliation
Zujin ZHANG School of Mathematics and Computer Sciences, Gannan Normal University, Jiangxi 341000, P. R. China 
Dingxing ZHONG School of Mathematics and Computer Sciences, Gannan Normal University, Jiangxi 341000, P. R. China 
Shaohui GUI School of Mathematics and Computer Sciences, Gannan Normal University, Jiangxi 341000, P. R. China 
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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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