Special Session 136: Analysis and Applications of the Boltzmann equation

Classical limit of the relativistic Cucker-Smale model

Qinghua Xiao
Innovation Academy for Precision Measurement Science and Technology, CAS
Peoples Rep of China
Co-Author(s):    Seung-Yeal Ha; Tommaso Ruggeri
Abstract:
We study quantitative estimates for the flocking and uniform-in-time classical limit to a relativistic Cucker-Smale model (in short RCS) with non-zero pressure, which is a subsystem of the relativistic thermomechanical Cucker-Smale model. For this RCS model, we provide its uniform-in-time classical limit with optimal convergence rate which is the same as in finite-in-time classical limit. As its direct application, for the corresponding mean-field limit equation, relativistic kinetic Cucker-Smale equation (in short RKCS), the uniform-in-time classical limit is also obtained.