Remarks on Boundary Layer Expansions

DOI10.1080/03605300701257336zbMath1159.35308arXivmath/0606525OpenAlexW2076310456MaRDI QIDQ5459769

David Gérard-Varet, Thierry Paul

Publication date: 29 April 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606525

zbMATH Keywords

singular perturbationboundary layers

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (7)

Well-posed and stable problems for Prandtl's boundary layer system ⋮ Reflection of internal gravity waves in the form of quasi-axisymmetric beams ⋮ BV entropy solutions of two-dimensional nonstationary Prandtl boundary layer system ⋮ Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem ⋮ Mathematical study of the equatorial Ekman boundary layer ⋮ Near-critical reflection of internal waves ⋮ Derivation of Prandtl boundary layer equations for the incompressible Navier-Stokes equations in a curved domain

Cites Work

• Les modèles asymptotiques de la mécanique des fluides. II. (Asymptotic models in fluid mechanics)
• Formal derivation of boundary layers in fluid mechanics
• Perturbation theory for linear operators.
• The connection between Ekman and Stewartson layers for a rotating disk
• On almost rigid rotations
• Harmonic Analysis in Phase Space. (AM-122)
• Ekman layers of rotating fluids, the case of well prepared initial data
• Ekman boundary layers in rotating fluids
• On almost rigid rotations. Part 2
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