Validity of Prandtl layer theory for steady magnetohydrodynamics over a moving plate with nonshear outer ideal MHD flows
Validity of Prandtl layer theory for steady magnetohydrodynamics over a moving plate with nonshear outer ideal MHD flows
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DOI：
10.1016/j.jde.2020.12.039
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发表时间：
2020-09
期刊：
影响因子：
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通讯作者：
S. Ding;Zhijun Ji;Zhilin Lin
中科院分区：
文献类型：
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作者：
S. Ding;Zhijun Ji;Zhilin Lin
在假设边界在{Y=0}处移动的前提下，验证了二维定常粘性不可压缩磁流体力学方程在区域{(X，Y)∈[0，L]×R+}中的边界层理论.建立了边界层展开式和收敛速度在Soblev意义下的有效性。我们把具有剪切外理想磁流体流动的结果推广到非剪切流动的情况。
In this paper, we validate the boundary layer theory for 2D steady viscous incompressible magnetohydrodynamics (MHD) equations in a domain {(X, Y)∈[0, L]× R+} under the assumption of a moving boundary at {Y= 0}. The validity of boundary layer expansions and 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.