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Diffusion vanishing limit of the nonlinear pipe Magnetohydrodynamic flow with fixed viscosity

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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… Click to show full abstract

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 ∞ ( L 2 ) and L ∞ (H 1 ) norm.

Keywords: magnetohydrodynamic flow; limit nonlinear; pipe magnetohydrodynamic; nonlinear pipe; diffusion vanishing; vanishing limit

Journal Title: Acta Mathematica Scientia
Year Published: 2018

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