A study on the boundary layer for the planar magnetohydrodynamics system

Xulong QIN; Tong YANG; Zheng-an YAO; Wenshu ZHGOU

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

A study on the boundary layer for the planar magnetohydrodynamics system

Xulong QIN
, Tong YANG^*
, Zheng-an YAO
, Wenshu ZHGOU

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

9 Citations (Scopus)

Abstract

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|Inμ|. Note that this estimate holds also for the Navier-Stokes system so that it extends the previous works even without the magnetic effect.

Original language	English
Pages (from-to)	787-806
Journal	Acta Mathematica Scientia
Volume	35
Issue number	4
Online published	11 Jun 2015
DOIs	https://doi.org/10.1016/S0252-9602(15)30022-9
Publication status	Published - Jul 2015

Research Keywords

35B40
35Q30
76N17
76N20
76W05
Boundary layer
Magnetohydrodynamics system
Vanishing shear viscosity

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RGC-funded

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10.1016/S0252-9602(15)30022-9

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Cite this

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title = "A study on the boundary layer for the planar magnetohydrodynamics system",

abstract = "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|Inμ|. Note that this estimate holds also for the Navier-Stokes system so that it extends the previous works even without the magnetic effect.",

keywords = "35B40, 35Q30, 76N17, 76N20, 76W05, Boundary layer, Magnetohydrodynamics system, Vanishing shear viscosity",

author = "Xulong QIN and Tong YANG and Zheng-an YAO and Wenshu ZHGOU",

year = "2015",

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doi = "10.1016/S0252-9602(15)30022-9",

language = "English",

volume = "35",

pages = "787--806",

journal = "Acta Mathematica Scientia",

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TY - JOUR

T1 - A study on the boundary layer for the planar magnetohydrodynamics system

AU - QIN, Xulong

AU - YANG, Tong

AU - YAO, Zheng-an

AU - ZHGOU, Wenshu

PY - 2015/7

Y1 - 2015/7

N2 - 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|Inμ|. Note that this estimate holds also for the Navier-Stokes system so that it extends the previous works even without the magnetic effect.

AB - 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|Inμ|. Note that this estimate holds also for the Navier-Stokes system so that it extends the previous works even without the magnetic effect.

KW - 35B40

KW - 35Q30

KW - 76N17

KW - 76N20

KW - 76W05

KW - Boundary layer

KW - Magnetohydrodynamics system

KW - Vanishing shear viscosity

UR - https://www.scopus.com/pages/publications/84930735756

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84930735756&origin=recordpage

U2 - 10.1016/S0252-9602(15)30022-9

DO - 10.1016/S0252-9602(15)30022-9

M3 - RGC 21 - Publication in refereed journal

SN - 0252-9602

VL - 35

SP - 787

EP - 806

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 4

ER -

A study on the boundary layer for the planar magnetohydrodynamics system

Abstract

Research Keywords

RGC Funding Information

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NSFC: Mathematical Theories of Some Kinetic and Fluid Models

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A study on the boundary layer for the planar magnetohydrodynamics system

Abstract

Research Keywords

RGC Funding Information

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

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NSFC: Mathematical Theories of Some Kinetic and Fluid Models

Cite this