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math.AP2026
McLean resonances and spectral instability of Stokes waves
Massimiliano Berti, Alberto Maspero, Antonio Milosh Radakovic
The spectral instability of traveling periodic water waves has been investigated for more than sixty years, since the seminal discovery of Benjamin and Feir. Despite an extensive l…
math.AP2026
Transfer of energy for pure-gravity water waves with constant vorticity
Beatrice Langella, Alberto Maspero, Federico Murgante +1
We consider two-dimensional periodic gravity water waves with constant nonzero vorticity , in infinite depth and with periodic boundary conditions. We prove that, if the charact…