Speaker: Alberto Maspero (SISSA, Trieste)
CNR-IAC, Aula Primo Piano
Modulational instability of Stokes waves
Stokes waves, which are small amplitude space periodic solutions of the gravity water waves, are unstable to long-wave perturbations, as Benjamin and Feir predicted in1967.
In this talk I will describe a series of recent results that describe the spectrum of the linearized operator at a Stokes wave, both near the origin – proving that such spectrum depicts a complete “figure 8” – and away from the origin – proving the existence of isolas of instability.
This is based on a series of works with M. Berti, L. Corsi and P. Ventura.
* This event is supported by PRIN 2022HKBF5C “Variational Analysis of complex systems in Materials Science, Physics and Biology”, PNRR Italia Domani, funded by the European Union via the program NextGenerationEU, CUP B53D23009290006.
