Global regularity for the 3D MHD system with partial viscosity and magnetic diffusion terms
Global regularity for the 3D MHD system with partial viscosity and magnetic diffusion terms
复制标题
具有部分粘度和磁扩散项的 3D MHD 系统的全局正则性
DOI：
10.1016/j.jmaa.2017.10.010
复制
发表时间：
2018
影响因子：
1.3
通讯作者：
Zhu Mingxuan
中科院分区：
文献类型：
--
作者：
Ye Xia;Zhu Mingxuan
本文研究了三维全空间中具有部分粘性和磁扩散项的不可压缩磁流体系统的柯西问题。在初值(‖u 0‖L 2 2+‖b 0‖L 2 2)(‖∇u 0‖L 2 2+‖∇b 0‖L 2 2)适当小的条件下，得到了整体强解(u，b)的存在性。
This paper is concerned with the Cauchy problem of the incompressible magnetohydrodynamic system with partial viscosity and magnetic diffusion terms in the three-dimensional whole space. The existence of the global strong solution (u, b) is obtained, provided that the initial data (‖ u 0‖ L 2 2+‖ b 0‖ L 2 2)(‖∇ u 0‖ L 2 2+‖∇ b 0‖ L 2 2) is suitably small.