Validity of steady Prandtl layer expansions

Let the viscosity for the 2D steady Navier‐Stokes equations in the region and with no slip boundary conditions at . For , we justify the validity of the steady Prandtl layer expansion for scaled Prandtl layers, including the celebrated Blasius boundary layer. Our uniform estimates in ε are achieved...

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Bibliographic Details
Published inCommunications on pure and applied mathematics Vol. 76; no. 11; pp. 3150 - 3232
Main Authors Guo, Yan, Iyer, Sameer
Format Journal Article
LanguageEnglish
Published New York John Wiley and Sons, Limited 01.11.2023
Subjects
Boundary conditions
Boundary layers
Fluid flow
Mathematical analysis
Vorticity equations
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Summary:Let the viscosity for the 2D steady Navier‐Stokes equations in the region and with no slip boundary conditions at . For , we justify the validity of the steady Prandtl layer expansion for scaled Prandtl layers, including the celebrated Blasius boundary layer. Our uniform estimates in ε are achieved through a fixed‐point scheme: for solving the Navier‐Stokes equations, where are the tangential and normal velocities at , DNS stands for of the vorticity equation for the normal velocity v , and the compatibility ODE for at .
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0010-3640
1097-0312
DOI:10.1002/cpa.22109