Rigorous proof of spectral stability for small non-resonant capillary-gravity waves and Wilton ripples, plus instability index functions near resonances, via periodic Evans function with Weierstrass preparation.
Creedon, Bernard Deconinck, and Olga Trichtchenk o, High-frequency insta- bilities of stokes waves , Journal of Fluid Mechanics 937 (2022), A24
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Stable and unstable capillary-gravity waves
Rigorous proof of spectral stability for small non-resonant capillary-gravity waves and Wilton ripples, plus instability index functions near resonances, via periodic Evans function with Weierstrass preparation.