Green function for linearized Navier-Stokes around a boundary shear layer profile for long wavelengths

DOI10.4171/aihpc/64zbMath1528.35091arXiv1910.03988MaRDI QIDQ6075032

Emmanuel Grenier, Toan T. Nguyen

Publication date: 20 October 2023

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

Full work available at URL: https://arxiv.org/abs/1910.03988

zbMATH Keywords

boundary layersGreen functioncritical layerslinearized Navier-StokesOrr-Sommerfeld equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to PDEs (35C20) Euler equations (35Q31)

Cites Work

• Spectral instability of characteristic boundary layer flows
• Spectral stability of Prandtl boundary layers: an overview
• Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows
• Sharp bounds for the resolvent of linearized Navier Stokes equations in the half space around a shear profile
• \(L^\infty\) instability of Prandtl layers
• Spectral stability implies nonlinear stability for incompressible boundary layers
• Green Function of Orr--Sommerfeld Equations Away from Critical Layers
• On the Stability of Two-Dimensional Parallel Flows
• Spectral instability of general symmetric shear flows in a two-dimensional channel
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