Spectral stability of Prandtl boundary layers: An overview

Emmanuel Grenier, Yan Guo, Toan Nguyen

Research output: Contribution to journalArticlepeer-review

25 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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