4 papers
Propagation-Window Bounds in Degenerate Plant-Consumer Reaction-Diffusion Systems
Chiun-Chuan Chen, Ting-Yang Hsiao, Li-Chang Hung +2
We study traveling waves in high-dimensional plant--consumer reaction--diffusion systems with competing plants and associated consumers. We focus on the degenerate case in…
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…
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…
Synchronization in the complexified Kuramoto model
Ting-Yang Hsiao, Yun-Feng Lo, Winnie Wang
In this paper, we consider an -oscillators complexified Kuramoto model. We first observe that there are solutions exhibiting finite-time blow-up behavior in all coupling regimes…