Viscosity vanishing limit of the nonlinear pipe magnetohydrodynamic flow with diffusion.

Authors :: Wu, Zhonglin
Wang, Shu
Source :: Mathematical Methods in the Applied Sciences. Jan2019, Vol. 42 Issue 1, p161-174. 14p.
Publication Year :: 2019
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. [ABSTRACT FROM AUTHOR]

Subjects :: *MAGNETOHYDRODYNAMICS
*INCOMPRESSIBLE flow
*BOUNDARY layer equations
*VISCOSITY
*DIFFUSION
*MAGNETIC fields
*FLUID pressure

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