摘要: 本文证明了不可压缩磁流体(MHD)方程组在下述空间全局正则性,当

初值满足

的MHD方程在[0,T]上有唯一解。
Abstract:
In this paper, we investigate the global regularity in space for the incompressible magneto hydro-dynamic (MHD) system under the following conditions:

The MHD equation with initial data satisfying

has a unique solution on
[0,T] .