Global \(C^\infty\) regularity of the steady Prandtl equation with favorable pressure gradient

DOI10.1016/j.anihpc.2021.02.007zbMath1475.35099OpenAlexW3133452522MaRDI QIDQ2235200

Yue Wang, Zhifei Zhang

Publication date: 20 October 2021

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2021.02.007

zbMATH Keywords

degeneracy of the equation near the boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Maximum principles in context of PDEs (35B50)

Related Items (6)

Dynamic stability for steady Prandtl solutions ⋮ Asymptotic behavior of the steady Prandtl equation ⋮ A finite difference method on quasi-uniform grids for the fractional boundary-layer Blasius flow ⋮ Boundary layer separation for the steady compressible Prandtl equation ⋮ Prandtl-Batchelor flows on a disk ⋮ Separation of the two-dimensional steady MHD boundary layer

Cites Work

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• On the global existence of solutions to the Prandtl's system.
• Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation
• Boundary layer separation and local behavior for the steady Prandtl equation
• On global-in-\(x\) stability of Blasius profiles
• Separation for the stationary Prandtl equation
• Sobolev stability of Prandtl expansions for the steady Navier-Stokes equations
• Regularity and expansion for steady Prandtl equations
• Asymptotic behaviour of velocity profiles in the Prandtl boundary layer theory
• Validity of steady Prandtl layer expansions

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