| 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,2014,35(2):171~192 |
| 非特征边界的MHD方程的边界层 |
| Boundary Layers for the Magnetohydrodynamic Equations with Non-characteristicBoundary |
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| DOI： |
| 中文关键词: MHD方程, 非特征边界, 边界层 |
| 英文关键词:Magnetohydrodynamic equation, Non-characteristic boundary, Boundary layer |
| 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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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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