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[J...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,2014,256（8）：2858 2875]in some sense.The method is to establish a new bilinear estimate.展开更多
基金Supported by the Natural Science Foundation of Jiangxi Province(Grant No.20151BAB201010)the National Natural Science Foundation of China(Grant Nos.1150112511361004)
文摘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,2014,256（8）：2858 2875]in some sense.The method is to establish a new bilinear estimate.
