期刊
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
卷 20, 期 7-8, 页码 2725-2750出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/cpaa.2021073
关键词
Incompressible non-resistive MHD flows; uniform regularity; vanishing viscosity limit; transverse magnetic field
资金
- National Natural Science Foundation of China [11743009, 11801364, 11831003]
- Strategic Priority Research Program of Chinese Academy of Sciences [XDA25010402]
- Shanghai Sailing Program [18YF1411700]
- Shanghai Jiao Tong University [WF220441906]
- Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning
- Shanghai Science and Technology Innovation Action Plan [20JC1413000]
- General Research Fund of Hong Kong Project [11304419]
- Hong Kong Institute for Advanced Study [9360157]
This paper investigates the vanishing viscosity limit for the incompressible MHD system in the half space under the influence of a transverse magnetic field on the boundary. It is proven that the solution is uniformly bounded in both conormal Sobolev norm and L-infinity norm in a fixed time interval, independent of the viscosity coefficient, and the inviscid limit to the ideal MHD system is established in L-infinity norm. The analysis also suggests that the boundary layer effect is weak due to the presence of the transverse magnetic field.
This paper is concerned with the vanishing viscosity limit for the incompressible MHD system without magnetic diffusion effect in the half space under the influence of a transverse magnetic field on the boundary. We prove that the solution to the incompressible MHD system is uniformly bounded in both conormal Sobolev norm and L-infinity norm in a fixed time interval independent of the viscosity coefficient. As a direct consequence, the inviscid limit from the viscous MHD system to the ideal MHD system is established in L-infinity-norm. In addition, the analysis shows that the boundary layer effect is weak because of the transverse magnetic field.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据