4 papers · 1 filter
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…
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…
Measure-valued death state and local sensitivity analysis for Winfree models with uncertain high-order couplings
Seung-Yeal Ha, Myeongju Kang, Jaeyoung Yoon +1
We study the measure-valued death state and local sensitivity analysis of the Winfree model and its mean-field counterpart with uncertain high-order couplings. The Winfree model is…