Green function of Orr Sommerfeld equations away from critical layers

Abstract

The classical Orr-Sommerfeld equations are the resolvent equations of the linearized Navier Stokes equations around a stationary shear layer profile in the half plane. In this paper, we derive pointwise bounds on the Green function of the Orr Sommerfeld problem away from its critical layers.

title changed, Green function construction greatly simplified. To appear SIMA

References in corpus (1)

• Green function for linearized Navier-Stokes around a boundary layer profile: near critical layers

Cited by in corpus (3)

• Sublayer of Prandtl boundary layers
• Inviscid damping and enhanced dissipation of the boundary layer for 2D Navier-Stokes linearized around Couette flow in a channel
• Green function for linearized Navier-Stokes around a boundary layer profile: near critical layers