3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2024
Horizontal semiconcavity for the square of Carnot-Carathéodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations
Federica Dragoni, Qing Liu, Ye Zhang
We show that the square of Carnot-Carathéodory distance from the origin, in step 2 Carnot groups, enjoys the horizontal semiconcavity (h-semiconcavity) everywhere in the group inc…