非剪切外理想MHD流运动平板上定常磁流体动力学Prandtl层理论的有效性
Validity of Prandtl layer theory for steady magnetohydrodynamics over a moving plate with nonshear outer ideal MHD flows
摘要：
本文在$\{Y=0\}$移动边界的假设下，验证了二维定常粘性不可压缩磁流体力学（MHD）方程在区域$\{(X, Y)\in[0, L]\times\mathbb{R}_+\}$中的边界层理论。在Sobolev意义下证明了边界层展开的有效性和收敛速度。我们将剪切外理想MHD流[3]的结果推广到非剪切流的情况。
英文摘要：
In this paper, we validate the boundary layer theory for 2D steady viscous incompressible magnetohydrodynamics (MHD) equations in a domain $\{(X, Y)\in[0, L]\times\mathbb{R}_+\}$ under the assumption of a moving boundary at $\{Y=0\}$. The validity of the boundary layer expansion and the convergence rates are established in Sobolev sense. We extend the results for the case with the shear outer ideal MHD flows [3] to the case of the nonshear flows.
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