Boundary layer problems for the two-dimensional inhomogeneous incompressible magnetohydrodynamics equations
Boundary layer problems for the two-dimensional inhomogeneous incompressible magnetohydrodynamics equations
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DOI：
10.1007/s00526-021-01958-y
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发表时间：
2018-10
影响因子：
2.1
通讯作者：
Jincheng Gao;Daiwen Huang;Z. Yao
中科院分区：
文献类型：
--
作者：
Jincheng Gao;Daiwen Huang;Z. Yao
本文研究了由二维密度相关不可压缩磁流体动力学方程导出的非齐次不可压缩磁流体动力学方程边界层问题的适定性。在假设初始切向磁场不为零，密度是超模外恒流的一个小扰动的前提下，利用能量法在加权共法Sobolev空间中建立了非齐次不可压缩MHD边界层方程的局域存在唯一性。
In this paper, we study the well-posedness of boundary layer problems for the inhomogeneous incompressible magnetohydrodynamics (MHD) equations, which are derived from the two-dimensional density-dependent incompressible MHD equations. Under the assumption that initial tangential magnetic field is not zero and density is a small perturbation of the outer constant flow in supernorm, the local-in-time existence and uniqueness of inhomogeneous incompressible MHD boundary layer equations are established in weighted conormal Sobolev space by energy method.