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physics.flu-dyn2022★ 18 cited
A High-Order Asymptotic Analysis of the Benjamin-Feir Instability Spectrum in Arbitrary Depth
Ryan Creedon, Bernard Deconinck
We investigate the Benjamin-Feir (or modulational) instability of Stokes waves, i.e., small-amplitude, one-dimensional periodic gravity waves of permanent form and constant velocit…
physics.flu-dyn2021★ 30 cited
High-Frequency Instabilities of Stokes Waves
Ryan Creedon, Bernard Deconinck, Olga Trichtchenko
Euler's equations govern the behavior of gravity waves on the surface of an incompressible, inviscid, and irrotational fluid of arbitrary depth. We investigate the spectral stabili…