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 unde...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.展开更多
基金supported by Natural Science fund of Henan Province(162300410084)the Key Research Fund of Henan Province(16A110019)+1 种基金BSFC(1132006)CIT&TCD(20130312)
文摘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.
