Spectral stability of Prandtl boundary layers

An overview

Emmanuel Grenier, Yan Guo, Toan Nguyen

Research output: Contribution to journalArticle

12 Citations (Scopus)

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

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Spectral Stability
Boundary Layer
Boundary layers
Orr-Sommerfeld Equation
Incompressible Navier-Stokes Equations
Shear Flow
Asymptotic Expansion
Unstable
Shear flow
Navier Stokes equations
Education
Presentation

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Applied Mathematics

Cite this

Grenier, Emmanuel ; Guo, Yan ; Nguyen, Toan. / Spectral stability of Prandtl boundary layers : An overview. In: Analysis. 2015 ; Vol. 35, No. 4. pp. 343-355.
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Spectral stability of Prandtl boundary layers : An overview. / Grenier, Emmanuel; Guo, Yan; Nguyen, Toan.

In: Analysis, Vol. 35, No. 4, 01.11.2015, p. 343-355.

Research output: Contribution to journalArticle

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