On the stability of shear flows in bounded channels, II: non-monotonic shear flows
Analysis of PDEs
2024-02-01 v2
Abstract
We give a proof of linear inviscid damping and vorticity depletion for non-monotonic shear flows with one critical point in a bounded periodic channel. In particular, we obtain quantitative depletion rates for the vorticity function without any symmetry assumptions.
Keywords
Cite
@article{arxiv.2301.00288,
title = {On the stability of shear flows in bounded channels, II: non-monotonic shear flows},
author = {Alexandru D. Ionescu and Sameer Iyer and Hao Jia},
journal= {arXiv preprint arXiv:2301.00288},
year = {2024}
}
Comments
32 pages, final version, to appear