DIFFUSION VANISHING LIMIT OF THE NONLINEAR PIPE MAGNETOHYDRODYNAMIC FLOW WITH FIXED VISCOSITY

doi:10.1016/S0252-9602(18)30770-7

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (2): 627-642.doi: 10.1016/S0252-9602(18)30770-7

DIFFUSION VANISHING LIMIT OF THE NONLINEAR PIPE MAGNETOHYDRODYNAMIC FLOW WITH FIXED VISCOSITY

吴忠林¹, 王术²

1. College of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China;
2. College of Applied Science, Beijing University of Technology, Beijing 100124, China

收稿日期:2016-10-08 修回日期:2017-10-25 出版日期:2018-04-25 发布日期:2018-04-25
作者简介:Zhonglin WU,E-mail:wuzhonglin03@126.com;Shu WANG,E-mail:wangshu@bjut.edu.cn
基金资助:
The author is supported by Natural Science fund of Henan Province (162300410084), and the Key Research Fund of Henan Province (16A110019), BSFC (1132006), CIT & TCD (20130312).

DIFFUSION VANISHING LIMIT OF THE NONLINEAR PIPE MAGNETOHYDRODYNAMIC FLOW WITH FIXED VISCOSITY

Zhonglin WU¹, Shu WANG²

1. College of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China;
2. College of Applied Science, Beijing University of Technology, Beijing 100124, China

Received:2016-10-08 Revised:2017-10-25 Online:2018-04-25 Published:2018-04-25
Supported by:
The author is supported by Natural Science fund of Henan Province (162300410084), and the Key Research Fund of Henan Province (16A110019), BSFC (1132006), CIT & TCD (20130312).

摘要/Abstract

摘要：

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.

关键词: Incompressible viscous MHD system, nonmagnetic MHD system, boundary layer, Prandtl theory, corrector

Abstract:

Key words: Incompressible viscous MHD system, nonmagnetic MHD system, boundary layer, Prandtl theory, corrector

吴忠林, 王术. DIFFUSION VANISHING LIMIT OF THE NONLINEAR PIPE MAGNETOHYDRODYNAMIC FLOW WITH FIXED VISCOSITY[J]. 数学物理学报(英文版), 2018, 38(2): 627-642.

Zhonglin WU, Shu WANG. DIFFUSION VANISHING LIMIT OF THE NONLINEAR PIPE MAGNETOHYDRODYNAMIC FLOW WITH FIXED VISCOSITY[J]. Acta mathematica scientia,Series B, 2018, 38(2): 627-642.

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DIFFUSION VANISHING LIMIT OF THE NONLINEAR PIPE MAGNETOHYDRODYNAMIC FLOW WITH FIXED VISCOSITY

DIFFUSION VANISHING LIMIT OF THE NONLINEAR PIPE MAGNETOHYDRODYNAMIC FLOW WITH FIXED VISCOSITY

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