Spectral stability of Prandtl boundary layers: An overview

Emmanuel Grenier, Yan Guo, Toan Nguyen

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

In this paper we show how the stability of Prandtl boundary layers is linked to the stability of shear flows in the incompressible Navier-Stokes equations. We then recall classical physical instability results, and give a short educational presentation of the construction of unstable modes for Orr-Sommerfeld equations. We end the paper with a conjecture concerning the validity of Prandtl boundary layer asymptotic expansions.

Original languageEnglish (US)
Pages (from-to)343-355
Number of pages13
JournalAnalysis
Volume35
Issue number4
DOIs
StatePublished - Nov 1 2015

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Applied Mathematics

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