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.NA2025
Convergence and Stability of Discrete Exterior Calculus for the Hodge Laplace Problem in Two Dimensions
Chengbin Zhu, Snorre H. Christiansen, Kaibo Hu +1
We prove convergence and stability of the discrete exterior calculus (DEC) solutions for the Hodge-Laplace problems in two dimensions for families of meshes that are non-degenerate…