| 非特征边界的MHD方程的边界层 |
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| 引用本文： | 谢晓强,罗琳,李常敏.非特征边界的MHD方程的边界层[J].数学年刊A辑(中文版),2014,35(2):171-192. |
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| 作者姓名： | 谢晓强 罗琳 李常敏 |
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| 作者单位： | 上海第二工业大学理学院, 上海 201209.;上海第二工业大学理学院, 上海 201209.;上海大学管理学院, 上海 200444. |
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| 基金项目： | 国家自然科学基金(No.11371244),教育部人文社科项目(No.13YJC630072)和上海市教委优秀青年教师项目 (No.ZZegd12023) |
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| 摘 要： | 考查了小粘性时非特征边界情况下MHD方程在边界附近的性质,说明速度在边界上不为零.源于之前非特征边界条件下不可压缩Navier-Stokes方程边界层的工作,证明了边界层的存在性,并得到了当粘性收敛于零时,MHD方程的解收敛于理想MHD方程的解.
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| 关 键 词： | MHD方程 非特征边界 边界层 |
Boundary Layers for the Magnetohydrodynamic Equations with Non-characteristic
Boundary |
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| XIE Xiaoqiang,LUO Lin and LI Changmin.Boundary Layers for the Magnetohydrodynamic Equations with Non-characteristic
Boundary[J].Chinese Annals of Mathematics,2014,35(2):171-192. |
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| Authors: | XIE Xiaoqiang LUO Lin and LI Changmin |
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| Institution: | School of Science, Shanghai Second Polytechnic University, Shanghai 201209,
China.;School of Science, Shanghai Second Polytechnic University, Shanghai 201209,
China.;School of Management, Shanghai University, Shanghai 200444,
China. |
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| Abstract: | The goal of this article is to study the property of the MHD
equations with small viscosity near the boundary when the boundaries
are non-characteristic, i.e., to know that the velocity is not zero
at boundary. Following the earlier works on the boundary layers for the incompressible Navier-Stokes equations in the case
that the boundaries are non-characteristic, the authors prove that there exist boundary layers and derive the convergence of
the solutions of the viscous MHD equations to that of the ideal MHD equations as the viscosity tends to zero. |
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| Keywords: | Magnetohydrodynamic equation Non-characteristic boundary Boundary layer |
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