Speaker: Ryan Creedon, University of Washington
Date: May 30, 2024
Title: Transverse Instability of Stokes Waves in Finite Depth
Abstract: Since the pioneering work of McLean in the early 1980s, it has been known numerically that periodic water waves of small amplitude are unstable due to perturbations transverse to their direction of propagation. In this talk, I present the first rigorous proof of this instability for small-amplitude, periodic water waves in water of any depth, excluding perhaps a finite number of isolated depths for which the instability requires a higher-order calculation to detect. Key details of the proof will be emphasized, and the fundamental analytical results will be connected to previous numerical and formal asymptotic investigations.
Location: Residents of Lewis Hall can attend talks in the Wan Conference Room (Lewis 208) at 11:30am. The talk will also be streamed live via Zoom.