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

Emmanuel Grenier; Toan T. Nguyen

doi:10.4171/AIHPC/64

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

Emmanuel Grenier
, Toan T. Nguyen

Unité de Mathématiques Pures et Appliquées de l'ENS de Lyon
Pennsylvania State University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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 ν1=4, which correspond to the lower boundary of the instability area for monotonic profiles.

源语言	英语
页（从-至）	1457-1485
页数	29
期刊	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
卷	40
期	6
DOI	https://doi.org/10.4171/AIHPC/64
出版状态	已出版 - 16 10月 2023
已对外发布	是

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abstract = "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 ν1=4, which correspond to the lower boundary of the instability area for monotonic profiles.",

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KW - Green function

KW - Orr-Sommerfeld equations

KW - boundary layers

KW - critical layers

KW - linearized Navier-Stokes

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

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