论文标题
MHD边界层方程的全局小分析解决方案
Global small analytic solutions of MHD boundary layer equations
论文作者
论文摘要
在本文中，我们证明了具有较小初始数据的二维MHD边界层方程的解决方案的全局存在和大的时间衰减估计，这在切向变量中是分析性的。证明的主要思想是由\ cite {pz5}的动机动机。其他困难是：1。出现磁场； 2。此处的远场取决于切向变量； 3。雷诺数与磁性雷诺数不同。特别是，我们在\ cite {xy19}中解决了一个空旷的问题，该问题是关于MHD边界层方程的分析解决方案的大量存在。
In this paper, we prove the global existence and the large time decay estimate of solutions to the two-dimensional MHD boundary layer equations with small initial data, which is analytical in the tangential variable. The main idea of the proof is motivated by that of \cite{PZ5}. The additional difficulties are: 1. there appears the magnetic field; 2. the far field here depends on the tangential variable; 3. the Reynolds number is different from magnetic Reynolds number. In particular, we solved an open question in \cite{XY19} concerning the large time existence of analytical solutions to the MHD boundary layer equations.
