2 papers
math.DS2026
Emergent behaviors of the singular continuum Kuramoto model and its graph limit
Li Chen, Seung-Yeal Ha, Xinyu Wang +1
We study the emergent dynamics of the singular continuum Kuramoto model (in short, SCKM) and its graph limit. The SCKM takes the form of an integro-differential equation exhibiting…
math.AP2026
Relaxation dynamics of the continuum Kuramoto model with non-integrable kernels
Li Chen, Seung-Yeal Ha, Xinyu Wang +1
We study the asymptotic behavior of the continuum Kuramoto model with a fractional Laplacian-type kernel. For this, we construct global weak solutions via a two-parameter regulariz…