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math.DS2025
Inertia perturbation theory for the inertial Kuramoto model
Hangjun Cho, Jiu-Gang Dong, Seung-Yeal Ha +1
In this work, we study the inertial Kuramoto model, which is a second-order extension of the classical first-order Kuramoto model, as an inertial perturbation of the first-order Ku…
math.DS2025
Particle, kinetic and hydrodynamic models for sea ice floes. Part I: Non-rotating floes
Quanling Deng, Seung-Yeal Ha
We introduce a comprehensive modeling framework for the dynamics of sea ice floes using particle, kinetic, and hydrodynamic approaches. Building upon the foundational work of Ha an…
math.DS2025
Quantitative relaxation dynamics from generic initial configurations in the inertial Kuramoto model
Hangjun Cho, Jiu-Gang Dong, Seung-Yeal Ha +1
We study the relaxation dynamics of the inertial Kuramoto model toward a phase-locked state from a generic initial phase configuration. For this, we propose a sufficient framework…