三维MHD方程的正则性准则

The regularity criterion for the 3D Magneto-hydrodynamics equations

研究了三维不可压MHD方程柯西问题,证明了若速度场和磁场的某些分量属于Morrey-Campanato空间,则方程的解在(0,T)是光滑的。

In this paper,we study the cauchy problem to the 3D incompressible MHD equations.In the multiplier space,we show that if some components of the velocity and magnetic fields belong to the Morrey-Campanato spaces,then the solution actually is smooth on(0,T).