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arXiv · 2508.00444

Interactions between Wind and Water Waves near Circular Flows

Changfeng Gui·Sicheng Liu
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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.

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Changfeng Gui, Sicheng Liu. 2025-08-01. Interactions between Wind and Water Waves near Circular Flows. https://arxiv.org/abs/2508.00444

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