Linear inviscid damping in Gevrey spaces
Analysis of PDEs
2019-09-04 v2
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.
Cite
@article{arxiv.1904.01188,
title = {Linear inviscid damping in Gevrey spaces},
author = {Hao Jia},
journal= {arXiv preprint arXiv:1904.01188},
year = {2019}
}
Comments
23 pages, comments welcome; several typos fixed, an issue with the formulation of the bounds on the stream function fixed. Submitted for publication