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Licensed Unlicensed Requires Authentication Published by Oldenbourg Wissenschaftsverlag October 7, 2015

Spectral stability of Prandtl boundary layers: An overview

  • Emmanuel Grenier EMAIL logo , Yan Guo and Toan T. Nguyen
From the journal Analysis


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.

MSC: 76D10; 76D05
Received: 2015-1-6
Revised: 2015-7-2
Accepted: 2015-8-14
Published Online: 2015-10-7
Published in Print: 2015-11-1

© 2015 by De Gruyter

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