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Viscosity vanishing limit of the nonlinear pipe magnetohydrodynamic flow with diffusion
Author(s) -
Wu Zhonglin,
Wang Shu
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5330
Subject(s) - magnetohydrodynamic drive , prandtl number , sobolev space , mathematics , viscosity , mathematical analysis , nonlinear system , limit (mathematics) , magnetohydrodynamics , boundary layer , norm (philosophy) , mechanics , thermodynamics , physics , heat transfer , magnetic field , quantum mechanics , political science , law
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 ∞ ( H 1 ) norm.