论文标题
莫雷空间中三维磁水动力系统的全球温和解决方案
Global mild solutions to three-dimensional magnetohydrodynamic system in Morrey spaces
论文作者
论文摘要
在本文中，研究了三维（3-D）不可压缩的磁性流动力系统的库奇问题。 If the initial $\mathcal{M}^{1,1}$ norms of the vorticity $ω$ and the current density $j$ are both sufficiently small, then some uniform estimates with respect to time for the coupling terms between the fluid and the magnetic field can be established, which lead to a global-in-time well-posedness of mild solutions in Morrey spaces via some effective arguments.
In this article, the Cauchy problem of three-dimensional (3-D) incompressible magnetohydrodynamic system was investigated. If the initial $\mathcal{M}^{1,1}$ norms of the vorticity $ω$ and the current density $j$ are both sufficiently small, then some uniform estimates with respect to time for the coupling terms between the fluid and the magnetic field can be established, which lead to a global-in-time well-posedness of mild solutions in Morrey spaces via some effective arguments.
