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Diffusion vanishing limit of the nonlinear pipe Magnetohydrodynamic flow with fixed viscosity |
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| Authors: | Zhonglin WU Shu WANG |
| Institution: | College of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China;College of Applied Science, Beijing University of Technology, Beijing 100124, China |
| Abstract: | We establish magnetic diffusion vanishing limit of the nonlinear pipe Magnetohydrodynamic 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. |
| Keywords: | Incompressible viscous MHD system nonmagnetic MHD system boundary layer Prandtl theory corrector 35Q30 35Q35 35Q40 35Q53 35Q55 76D05 76Y07 |
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