5 papers
Weak flocking for phase-spatially extended kinetic Cucker-Smale equation in a confining force field
Seung-Yeal Ha, Xinyu Wang
We study the quantitative fast and slow weak flocking of the phase-spatially extended kinetic Cucker-Smale model in confining potential fields. The confining potential is allowed t…
Weak stability and random mean-field limit of the phase-spatially extended kinetic Cucker-Smale model
Seung-Yeal Ha, Xinyu Wang
We study the weak stability of the kinetic Cucker-Smale (in short, KCS) model in a phase-spatially extended setting, which can be formally derived from the infinite Cucker-Smale mo…
Uniform-in-time stability and mean-field limit of the Cucker-Smale-type model with noncompact support
Seung-Yeal Ha, Xinyu Wang, Wook Yoon
We study the uniform-in-time stability and mean-field limit of an infinite Cucker--Smale-type (ICS-type) model in a fully noncompact setting. First, we clarify the main difficultie…
Emergent dynamics of spatially extended relativistic kinetic Cucker-Smale model
Seung-Yeal Ha, Xinyu Wang
We study the emergent dynamics of the relativistic kinetic Cucker-Smale (RKCS) model without assuming compactness in spatial and velocity support. In this setting, the lower bound…
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…