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Viscosity vanishing limit of the nonlinear pipe magnetohydrodynamic flow with diffusion
Authors:Zhonglin Wu  Shu Wang
Abstract:We establish viscosity vanishing limit of the nonlinear pipe magnetohydrodynamic flow by the mathematical validity of the Prandtl boundary layer theory with fixed diffusion. The convergence is verified under various Sobolev norms, including the L(H1) norm.
Keywords:boundary layer  corrector  incompressible viscous MHD system  inviscid MHD system  Prandtl theory
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