336 citations · 1.2k across the 44 of their papers we have counts for
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Self-similarity and recurrence in stability spectra of near-extreme Stokes waves
Bernard Deconinck, Sergey A. Dyachenko, Anastassiya Semenova
We consider steady surface waves in an infinitely deep two--dimensional ideal fluid with potential flow, focusing on high-amplitude waves near the steepest wave with a 120 degree c…
The instability of near-extreme Stokes waves
Bernard Deconinck, Sergey A. Dyachenko, Pavel M. Lushnikov +1
We study the stability of Stokes waves on a free surface of an ideal fluid of infinite depth. For small steepness the modulational instability dominates the dynamics, but its growt…
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…
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…
The instability of Wilton ripples
Olga Trichtchenko, Bernard Deconinck, Jon Wilkening
Wilton ripples are a type of periodic traveling wave solution of the full water wave problem incorporating the effects of surface tension. They are characterized by a resonance phe…