Lifespan of Solutions to MHD Boundary Layer Equations with Analytic Perturbation of General Shear Flow

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)209-229
Journal / PublicationActa Mathematicae Applicatae Sinica
Issue number1
Publication statusPublished - Jan 2019


In this paper, we consider the lifespan of solution to the MHD boundary layer system as an analytic perturbation of general shear flow. By using the cancellation mechanism in the system observed in [12], the lifespan of solution is shown to have a lower bound in the order of ε−2− if the strength of the perturbation is of the order of ε. Since there is no restriction on the strength of the shear flow and the lifespan estimate is larger than the one obtained for the classical Prandtl system in this setting, it reveals the stabilizing effect of the magnetic field on the electrically conducting fluid near the boundary.

Research Area(s)

  • analytic perturbation, lifespan estimate, MHD boundary layer, shear flow