论文标题
2D MHD系统在细条上的静水近似，并带有较小的分析数据
Hydrostatic approximation of the 2D MHD system in a thin strip with a small analytic data
论文作者
论文摘要
在本文中，我们研究了二维缩放的各向异性MHD系统的全局良好性，也研究了静水压MHD，没有滑带中没有滑动边界条件，用于较小的初始数据，这是水平变量中分析性的。我们还证明MHD系统的限制（当$ε\至0 $时，其中$ε$表示初始条的高度）是由几个prandtl类似于速度的prandtl系统给出的，而初始数据很小且分析性。
In this paper, we study the global well-posedness of the two dimensional rescaled anisotropic MHD system and also to the hydrostatic MHD with no slip boundary condition in a strip, for small initial data, which are analytic in the horizontal variable. We also justify the limit of the MHD system (when $ε\to 0$ where $ε$ denotes the height of the initial strip) is given by a couple of a Prandtl like system for the velocity and a magnetic field equation when the initial data are small and analytic.
