4 papers · 1 filter
Emergent behaviors of the kinetic Motsch-Tadmor model in a phase-spatially extended setting
Seung-Yeal Ha, Xinyu Wang
The kinetic Motsch-Tadmor (in short, KMT) model is a kinetic flocking model with a normalized communication weight. In this paper, we study the emergent dynamics of the phase-spati…
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…
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…