Nonlinear inviscid damping for a class of monotone shear flows in finite channel
Authors
Nader Masmoudi, Weiren Zhao
Abstract
We prove the nonlinear inviscid damping for a class of monotone shear flows in for initial perturbation in Gevrey-() class with compact support. The main idea of the proof is to use the wave operator of a slightly modified Rayleigh operator in a well chosen coordinate system.