Linear inviscid damping near monotone shear flows

Abstract

We give an elementary proof of sharp decay rates and the linear inviscid damping near monotone shear flow in a periodic channel, first obtained in [14]. We shall also obtain the precise asymptotics of the solutions, measured in the space $L^{\infty }$.

arXiv comment28 pages, comments are welcome

References in corpus (3)

• Inviscid dynamical structures near Couette flow
• Inviscid damping near the Couette flow in a channel
• Linear inviscid damping and vorticity depletion for shear flows

Cited by in corpus (1)

• Nonlinear inviscid damping near monotonic shear flows