Nonlinear inviscid damping for a class of monotone shear flows in finite channel
Analysis of PDEs
2025-02-06 v1 Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.2001.08564,
title = {Nonlinear inviscid damping for a class of monotone shear flows in finite channel},
author = {Nader Masmoudi and Weiren Zhao},
journal= {arXiv preprint arXiv:2001.08564},
year = {2025}
}