Benjamin–Feir instability of capillary–gravity Stokes waves
蕭定洋博士International School for Advanced Studies, Italy 15:30 – 17:00 鴻經館M107線上演講連結：
- https://meet.google.com/hpq-hhwo-xoe
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Abstract：
A Stokes wave is a periodic water wave that travels without changing shape. Suppose its height varies slightly over a distance spanning many crests. Will that variation stay small, or will it grow as the wave travels? This question lies at the heart of the Benjamin–Feir instability.
In this talk, I will explain how water depth and surface tension influence the stability of small-amplitude Stokes waves. In joint work with Alberto Maspero, we describe the spectrum near the origin of the water-wave equations linearized about a Stokes wave in finite depth. In the unstable regimes, two spectral branches trace a figure eight in the complex plane. Each point on the figure eight with positive real part corresponds to a perturbation that grows exponentially in time.
20261112演講_蕭定洋博士(International School for Advanced Studies, Italy)