Geodesic
Green function for linearized Navier–Stokes around a boundary shear layer profile for long wavelengths
Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 6, pp. 1457-1485

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This paper is the continuation of a program, initiated in Grenier and Nguyen [SIAM J. Math. Anal. 51 (2019); J. Differential Equations 269 (2020)], to derive pointwise estimates on the Green function of Orr–Sommerfeld equations. In this paper we focus on long wavelength perturbations, more precisely horizontal wave numbers α of order ν 1/4 , which correspond to the lower boundary of the instability area for monotonic profiles.

Accepté le :
Publié le :
DOI : 10.4171/aihpc/64
Classification : 35-XX
Keywords: Orr–Sommerfeld equations, linearized Navier–Stokes, boundary layers, Green function, critical layers 
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     title = {Green function for linearized {Navier{\textendash}Stokes} around a boundary shear layer profile for long wavelengths},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1457--1485},
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     doi = {10.4171/aihpc/64},
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Grenier, Emmanuel; Nguyen, Toan T. Green function for linearized Navier–Stokes around a boundary shear layer profile for long wavelengths. Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 6, pp. 1457-1485. doi: 10.4171/aihpc/64

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