A UNIFORM ESTIMATE FOR THE INCOMPRESSIBLE MAGNETO-HYDRODYNAMICS EQUATIONS WITH A SLIP BOUNDARY CONDITION

被引：5
|
作者：
Meng, Y. [1 ,2 ]
Wang, Y. -G. [3 ,4 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Jiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Jiangsu, Peoples R China
[3] Shanghai Jiao Tong Univ, MOE LSC, Dept Math, Shanghai 200240, Peoples R China
[4] Shanghai Jiao Tong Univ, SHL MAC, Shanghai 200240, Peoples R China
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2016年 / 74卷 / 01期
关键词：
Incompressible MHD equations; uniform estimate; conormal Sobolev spaces; small viscosity limit; NAVIER-STOKES EQUATIONS; VANISHING VISCOSITY LIMIT; PRANDTL EQUATIONS; ANALYTIC SOLUTIONS; INVISCID LIMIT; HALF-SPACE; EXISTENCE; LAYERS; POSEDNESS; SYSTEM;
D O I：
10.1090/qam/1406
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we derive a uniform estimate of the strong solution to the incompressible magneto-hydrodynamic (MHD) system with a slip boundary condition in a conormal Sobolev space with viscosity weight. As a consequence of this uniform estimate, we obtain that the solution of the viscous MHD system converges strongly to a solution of the ideal MHD system from a compactness argument.
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页码：27 / 48
页数：22
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