5 papers
Modulational spectrum of infinite-depth hydroelastic Stokes waves
Ting-Yang Hsiao, Zirui Li, Ye Zhang +1
We determine the complete local Bloch spectrum bifurcating from the origin for small-amplitude periodic hydroelastic Stokes waves in infinite depth, under the combined effects of g…
Existence of pure capillary solitary waves in constant vorticity flows
Ting-Yang Hsiao, Zhengjun Liang, Giang To +1
We prove that the finite-depth pure-capillary rigidity mechanism in the irrotational water-wave problem is destroyed by a suitable constant-vorticity critical shear. More precisely…
Benjamin-Feir spectrum of hydroelastic Stokes waves
Ting-Yang Hsiao, Zirui Li, Ye Zhang +1
We determine the complete Benjamin-Feir spectrum near the origin for small-amplitude hydroelastic Stokes waves of the two-dimensional finite-depth irrotational Euler equations with…
Spectral structure of the Benjamin-Feir instability in deep-water gravity-capillary Stokes waves
Ting-Yang Hsiao, Xinyang Wang
We investigate the Benjamin-Feir instability of small-amplitude gravity-capillary Stokes waves in deep water for the full water wave equations. While modulational instability has b…
Full Benjamin-Feir instability of capillary-gravity Stokes waves in finite depth
Ting-Yang Hsiao, Alberto Maspero
We study the two-dimensional gravity-capillary water waves equations for a fluid of finite depth under the combined effects of gravity and surface tension …