Linear inviscid damping for a class of monotone shear flow in Sobolev spaces
Analysis of PDEs
2015-09-29 v1
Abstract
In this paper, we prove the decay estimates of the velocity and scattering for the 2D linearized Euler equations around a class of monotone shear flow in a finite channel. Our result is consistent with the decay rate predicted by Case in 1960.
Keywords
Cite
@article{arxiv.1509.08228,
title = {Linear inviscid damping for a class of monotone shear flow in Sobolev spaces},
author = {Dongyi Wei and Zhifei Zhang and Weiren Zhao},
journal= {arXiv preprint arXiv:1509.08228},
year = {2015}
}
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56 pages