Interactions between Wind and Water Waves near Circular Flows
Analysis of PDEs
2025-08-04 v1 Mathematical Physics
math.MP
Abstract
This manuscript concerns the dynamical interactions between wind and water waves, which are characterized through two-phase free interface problems for the Euler equations. We provide a comprehensive derivation on the linearized problems of general two-phase flows. Then, we study the instability issues of perturbing waves around circular steady solutions, and we demonstrate a semi-circle result on the possible locations of unstable modes. We also present necessary conditions and sufficient ones for the instability of wind-perturbing water waves near Taylor-Couette flows.
Cite
@article{arxiv.2508.00444,
title = {Interactions between Wind and Water Waves near Circular Flows},
author = {Changfeng Gui and Sicheng Liu},
journal= {arXiv preprint arXiv:2508.00444},
year = {2025}
}