Workshop: Full description of Benjamin-Feir instability of Stokes waves, Alberto Maspero

Date: 2023-09-12

Time: 14:00 - 14:50

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Alberto Maspero, SISSA


Stokes waves, which are small amplitude space periodic solutions of 2D gravity water waves, are unstable to long-wave perturbations, as Benjamin and Feir predicted in 1967.
In this talk I will describe a series of results that describe the spectrum near the origin of the linearized operator at a Stokes wave, proving that such spectrum depicts a complete “figure 8”.

This is a joint work with M. Berti and P. Ventura.