论文标题
全球$ x $ prandtl层扩展的稳定性，用于稳定的磁性水力动力学流动在移动板上
Global-in-$x$ stability of Prandtl layer expansions for steady magnetohydrodynamics flows over a moving plate
论文作者
论文摘要
在本文中，我们获得了prandtl层扩展的全局x $ sobolev稳定性，用于2-D稳定的不可压缩的MHD流量，带有剪切外层理想的MHD流量$（1,0，σ，0）$（$σ\ geq 0 $）在移动板上。值得注意的是，从Sobolev意义上讲，允许在我们的结果中切向磁场的堕落性，这与[25,26,27]中的不稳定情况和[3,4]中的稳定情况有很大不同。
In this paper, we obtain the global-in-$x$ Sobolev stability of Prandtl layer expansions for 2-D steady incompressible MHD flows with shear outer ideal MHD flows $(1,0,σ,0)$ ($σ\geq 0$) on a moving plate. It is worth noticing that in the Sobolev sense, the degeneracy of the tangential magnetic field in our result is allowed, which is much different from both the unsteady case in [25,26,27] and the steady case in [3,4].
