A study on the boundary layer for the planar magnetohydrodynamics system

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

8 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)787-806
Journal / PublicationActa Mathematica Scientia
Volume35
Issue number4
Online published11 Jun 2015
Publication statusPublished - Jul 2015

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.

Research Area(s)

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

Citation Format(s)

A study on the boundary layer for the planar magnetohydrodynamics system. / QIN, Xulong; YANG, Tong; YAO, Zheng-an et al.
In: Acta Mathematica Scientia, Vol. 35, No. 4, 07.2015, p. 787-806.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review