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

Emmanuel Grenier, Toan T. Nguyen

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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.

Original languageEnglish (US)
Pages (from-to)1457-1485
Number of pages29
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume40
Issue number6
DOIs
StatePublished - Oct 16 2023

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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