7 papers
On the kinetic equation arising from the large-scale limit of the Cucker-Smale model
Ruicheng Cheng, Seung-Yeal Ha, Jaemoon Lee +1
We propose a large-scale scaling viewpoint for deriving mesoscopic dynamics from interacting particle systems and apply it to the Cucker--Smale flocking model. In contrast with the…
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…
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…
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…
Phase transition of the kinetic Justh-Krishnaprasad type model for nematic alignment
Seung-Yeal Ha, Hui Yu, Baige Zhou
We present a stochastic Justh-Krishnaprasad flocking model and study the phase transition of the Vlasov-McKean-Fokker-Planck (VMFP) equation, which can be obtained in the mean-fiel…
Uniform-in-time asymptotic limits of generalized Kuramoto models
Hangjun Cho, Seung-Yeal Ha, Myeongju Kang +1
We study two uniform-in-time asymptotic limits for generalized Kuramoto (GK) models. For these GK type models, we first derive the uniform stability estimates with respect to initi…