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.
Gardner, Spectral analysis of long wavelength periodic waves and app lica- tions, J
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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.