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 $L^{\infty }$.

28 pages, comments are welcome

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• Nonlinear inviscid damping near monotonic shear flows