Linear Inviscid Damping Near Monotone Shear Flows

Source abstract

We give an alternative proof of sharp decay rates and the linear inviscid damping near monotone shear flow in a periodic channel, first obtained in [D. Wei, Z. Zhang, and W. Zhao, Comm. Pure Appl. Math., 71 (2018), pp. 617--687]. We shall also obtain the precise asymptotics of the solutions, measured in the space $L^{\infty}$.