Linear inviscid damping in Gevrey spaces

Abstract

We prove linear inviscid damping near a general class of monotone shear flows in a finite channel, in Gevrey spaces. It is an essential step towards proving nonlinear inviscid damping for general shear flows that are not close to the Couette flow, which is a major open problem in 2d Euler equations.

23 pages, comments welcome; several typos fixed, an issue with the formulation of the bounds on the stream function fixed. Submitted for publication

References in corpus (3)

• Linear inviscid damping and enhanced dissipation for the Kolmogorov flow
• Linear inviscid damping and vorticity depletion for shear flows
• Axi-symmetrization near point vortex solutions for the 2D Euler equation

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