Local well-posedness of Prandtl equations for compressible flow in two space variables

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

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Detail(s)

Original languageEnglish
Pages (from-to)321-346
Journal / PublicationSIAM Journal on Mathematical Analysis
Volume47
Issue number1
Online published8 Jan 2015
Publication statusPublished - 2015

Abstract

In this paper, we consider the local well-posedness of the Prandtl boundary layer equations that describe the behavior of the boundary layer in the small viscosity limit of the compressible isentropic Navier-Stokes equations with nonslip boundary condition. Under the strictly monotonic assumption on the tangential velocity in the normal variable, we apply the Nash-Moser-Hörmander iteration scheme and further develop the energy method introduced in [R. Alexander et al., J. Amer. Math. Soc., DOI:S0894-0347(2014)00813-4] to obtain the well-posedness of the equations locally in time.

Research Area(s)

  • Compressible Prandtl layer equations, Energy method, Local well-posedness, Monotonic velocity field, Nash-Moser-Hörmander iteration