Research Areas
Ph.D student
Research Interests
PDEs, Water Waves, Dynamical Systems
Awards and Honors
Teacher ranked as excellent by their students: Math 241 Calculus III, UIUC, 2023
Government Fellowship for Studying Abroad: $ 48000 from Ministry of Education Taiwan, 2020-2022
Highlighted Publications
- Hsiao, T-Y., Lo, Y-F., Zhu, C. On the equivalence of synchronization definitions in the Kuramoto flow: A unified approach, http://arxiv.org/abs/2503.19781
- Chen, C-C., Hsiao, T-Y., Wang, S-C. Savanna dynamics with grazing, browsing, and migration effects, submitted. https://doi.org/10.48550/arXiv.2501.06549
- Hsiao, T-Y., Hur, V.M., Yang, Z. Unstable stokes waves in constant vorticity flows, in preparation.
- Chen, K-Y., Hsiao, T-Y., Sinambela, D. Two-layer capillary-gravity solitary waves, in preparation.
- Chen, S-H., Hsia, C-H., Hsiao, T-Y. Complete and partial synchronization of two-group and three-group Kuramoto oscillators. SIAM Journal on Applied Dynamical Systems, 2024, 23(3), 1720-1765. doi.org/10.1137/23M158622.
- Hsiao, T-Y., Lo, Y-F., Wang, W. Synchronization in the quaternionic Kuramoto model. arXiv:2309.01893v3. 2023.
- Hsiao, T-Y. Estimates of population size for traveling wave solutions of non-local Lotka-Volterra competition systems. Journal of Dynamics and Differential Equations 34, 1969–1996 2022. doi.org/10.1007/s10884-021-10109-y.
- Chen, C-C., Hsiao, T-Y., Hung, L-C. Discrete N-barrier maximum principle for lattice systems. Discrete & Continuous Dynamical Systems: Series A, 2020, 40(1): 153-187. Doi: 10.3934/dcds.2020007.