A STUDY ON THE BOUNDARY LAYER FOR THE PLANAR MAGNETOHYDRODYNAMICS SYSTEM

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 th...

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Bibliographic Details
Published inActa mathematica scientia Vol. 35; no. 4; pp. 787 - 806
Main Author 秦绪龙 杨彤 姚正安 周文书
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2015
Department of Mathematics,Sun Yat-sen University,Guangzhou 510275,China%Department of Mathematics,City University of Hong Kong,Hong Kong,China%Department of Mathematics,Dalian Nationalities University,Dalian 116600,China
Subjects
35B40
35Q30
76N17
76N20
76W05
boundary layer
magnetohydrodynamics system
Navier-Stokes
vanishing shear viscosity
动力学系统
平面
流体系统
磁流体
边界层厚度
边界数据
零剪切粘度
magnetohydrodynamics system
76N17
boundary layer
vanishing shear viscosity
35B40
35Q30
76W05
76N20
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(15)30022-9

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Summary: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.
Bibliography:42-1227/O
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.
magnetohydrodynamics system; boundary layer; vanishing shear viscosity
Xulong QIN , Zheng-an YA O , Tong YANG , Wenshu ZHGOU（ 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 ）
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(15)30022-9