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math.AP2024
Infinitely many isolas of modulational instability for Stokes waves
Massimiliano Berti, Livia Corsi, Alberto Maspero +1
This paper proves long-standing conjectures regarding the existence of infinitely many high-frequency modulational instability ``isolas" for a Stokes wave in arbitrary depth $ \mat…
math.AP2024
First isola of modulational instability of Stokes waves in deep water
Massimiliano Berti, Alberto Maspero, Paolo Ventura
We prove high-frequency modulational instability of small-amplitude Stokes waves in deep water under longitudinal perturbations, providing the first isola of unstable eigenvalues b…