6 papers
Existence of periodic measure-valued solutions to the nonlocal continuity equation via optimal transport
Seung-Yeal Ha, Gyuyoung Hwang, Philippe Thieullen +1
We investigate the existence of periodic solutions for a class of nonlocal continuity equations, which include mean-field equations derived from systems of coupled oscillators. Whi…
CBO algorithm with average drift and applications to portfolio optimization
Hyeong-Ohk Bae, Seung-Yeal Ha, Chanho Min +2
We propose a consensus based optimization algorithm with average drift (in short Ad-CBO) and provide a theoretical framework for it. In the theoretical analysis, we show that parti…
Particle, kinetic and hydrodynamic models for sea ice floes. Part II: Rotating floes with environmental forces
Quanling Deng, Seung-Yeal Ha, Jaemoon Lee +2
This paper builds on the multiscale modeling framework introduced in Part I (Deng and Ha, Physica D: Nonlinear Phenomena 483 (2025) 134951) for sea-ice floe dynamics with non-rotat…
Emergent behaviors of relativistic thermodynamic flocks with Synge energy
Ziming Bian, Seung-Yeal Ha, Tommaso Ruggeri +1
Collective motion and self-organization of interacting particles, such as flocking and swarming, can be viewed as nonequilibrium analogues of collective dynamics in gases. Motivate…
On the weak flocking of the kinetic Cucker-Smale model in a fully non-compact support setting
Seung-Yeal Ha, Xinyu Wang
We study the emergent behaviors of the weak solutions to the kinetic Cucker-Smale (in short, KCS) model in a non-compact spatial-velocity support setting. Unlike the compact suppor…
Optimal convergence speed in the classical limits of relativistic Cucker-Smale models
Seung-Yeal Ha, Tommaso Ruggeri, Qinghua Xiao
We study quantitative estimates for the flocking and uniform-time classical limit to the relativistic Cucker-Smale (in short RCS) model introduced in \cite{Ha-Kim-Ruggeri-ARMA-2020…