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.
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Applied Mathematics