DIFFUSION VANISHING LIMIT OF THE NONLINEAR PIPE MAGNETOHYDRODYNAMIC FLOW WITH FIXED VISCOSITY  

作　　者：吴忠林 王术 

机构地区：[1]College of Mathematics and Statistics, Huanghuai University [2]College of Applied Science, Beijing University of Technology

出　　处：《Acta Mathematica Scientia》2018年第2期627-642,共16页数学物理学报（B辑英文版）

基　　金：supported by Natural Science fund of Henan Province(162300410084);the Key Research Fund of Henan Province(16A110019);BSFC(1132006);CIT&TCD(20130312)

摘　　要：We establish magnetic diffusion vanishing limit of the nonlinear pipe Magnetohy- drodynamic flow by the mathematical validity of the Prandtl boundary layer theory with fixed viscosity. The convergence is verified under various Sobolev norms, including the L∞（L2） and L∞（H1） norm.We establish magnetic diffusion vanishing limit of the nonlinear pipe Magnetohy- drodynamic flow by the mathematical validity of the Prandtl boundary layer theory with fixed viscosity. The convergence is verified under various Sobolev norms, including the L∞（L2） and L∞（H1） norm.

关 键 词：Incompressible viscous MHD system nonmagnetic MHD system boundary layer Prandtl theory correetor 

分 类 号：O361.3[理学—流体力学]