Global Well-Posedness of a Prandtl Model from MHD in Gevrey Function Spaces

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

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Detail(s)

Original languageEnglish
Pages (from-to)2343–2366
Journal / PublicationActa Mathematica Scientia
Volume42
Issue number6
Online published3 Sept 2022
Publication statusPublished - Nov 2022

Abstract

We consider a Prandtl model derived from MHD in the Prandtl-Hartmann regime that has a damping term due to the effect of the Hartmann boundary layer. A global-in-time well-posedness is obtained in the Gevrey function space with the optimal index 2. The proof is based on a cancellation mechanism through some auxiliary functions from the study of the Prandtl equation and an observation about the structure of the loss of one order tangential derivatives through twice operations of the Prandtl operator.

Research Area(s)

  • 35M33, 35Q35, 76W05, auxiliary functions, Gevrey function space, global well-posedness, loss of derivative, magnetic Prandtl equation

Citation Format(s)

Global Well-Posedness of a Prandtl Model from MHD in Gevrey Function Spaces. / Li, Weixi; Xu, Rui; Yang, Tong.
In: Acta Mathematica Scientia, Vol. 42, No. 6, 11.2022, p. 2343–2366.

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