Scale invariant bounds for the Kelvin-Helmholtz instability
Analysis of PDEs
2025-07-30 v3
Abstract
We derive robust long-time a-priori estimates for the Navier-Stokes equation in a two-dimensional infinite strip which are uniform in the Reynolds number. These estimates provide several new scale invariant upper bounds for the size of the mixing layer in the Kelvin-Helmholtz instability.
Keywords
Cite
@article{arxiv.2410.14557,
title = {Scale invariant bounds for the Kelvin-Helmholtz instability},
author = {Konstantin Kalinin and Govind Menon and Bian Wu},
journal= {arXiv preprint arXiv:2410.14557},
year = {2025}
}