A STUDY ON THE BOUNDARY LAYER FOR THE PLANAR MAGNETOHYDRODYNAMICS SYSTEM

doi:10.1016/S0252-9602(15)30022-9

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (4): 787-806.doi: 10.1016/S0252-9602(15)30022-9

A STUDY ON THE BOUNDARY LAYER FOR THE PLANAR MAGNETOHYDRODYNAMICS SYSTEM

秦绪龙¹, 杨彤², 姚正安¹, 周文书³

收稿日期:2015-01-27 出版日期:2015-07-01 发布日期:2015-07-01
通讯作者: Tong YANG E-mail:matyang@cityu.edu.hk
基金资助:
Xulong Qin and Zheng-an Yao's research was supported in part by NNSFC (11271381 and 11431015). Tong Yang's research was supported in part by the Joint NSFC-RGC Research Fund, N-CityU 102/12. Wenshu Zhou's research was supported in part by the Program for Liaoning Excellent Talents in University (LJQ2013124) and the Fundamental Research Fund for the Central Universities.

A STUDY ON THE BOUNDARY LAYER FOR THE PLANAR MAGNETOHYDRODYNAMICS SYSTEM

Xulong QIN¹, Tong YANG², Zheng-an YAO¹, Wenshu ZHGOU³

1. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China;
2. Department of Mathematics, City University of Hong Kong, Hong Kong, China;
3. Department of Mathematics, Dalian Nationalities University, Dalian 116600, China

Received:2015-01-27 Online:2015-07-01 Published:2015-07-01
Contact: Tong YANG E-mail:matyang@cityu.edu.hk
Supported by:
Xulong Qin and Zheng-an Yao's research was supported in part by NNSFC (11271381 and 11431015). Tong Yang's research was supported in part by the Joint NSFC-RGC Research Fund, N-CityU 102/12. Wenshu Zhou's research was supported in part by the Program for Liaoning Excellent Talents in University (LJQ2013124) and the Fundamental Research Fund for the Central Universities.

摘要/Abstract

摘要：

The paper aims to estimate the thickness of the boundary layer for the planar MHD system with vanishing shear viscosity μ. Under some conditions on the initial and boundary data, we show that the thickness is of the order √μ|lnμ|. Note that this estimate holds also for the Navier-Stokes system so that it extends the previous works even without the magnetic effect.

关键词: magnetohydrodynamics system, boundary layer, vanishing shear viscosity

Abstract:

Key words: magnetohydrodynamics system, boundary layer, vanishing shear viscosity

中图分类号:

76W05

秦绪龙, 杨彤, 姚正安, 周文书. A STUDY ON THE BOUNDARY LAYER FOR THE PLANAR MAGNETOHYDRODYNAMICS SYSTEM[J]. 数学物理学报(英文版), 2015, 35(4): 787-806.

Xulong QIN, Tong YANG, Zheng-an YAO, Wenshu ZHGOU. A STUDY ON THE BOUNDARY LAYER FOR THE PLANAR MAGNETOHYDRODYNAMICS SYSTEM[J]. Acta mathematica scientia,Series B, 2015, 35(4): 787-806.

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A STUDY ON THE BOUNDARY LAYER FOR THE PLANAR MAGNETOHYDRODYNAMICS SYSTEM

A STUDY ON THE BOUNDARY LAYER FOR THE PLANAR MAGNETOHYDRODYNAMICS SYSTEM

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