From kinetic flocking model of Cucker-Smale type to self-organized hydrodynamic model

Abstract

In this talk, I will discuss our recent results on the hydrodynamic limit problem for a kinetic flocking model of Cucker-Smale type. Using the Cucker-Smale model as an example, we develop systematically a GCI-based expansion method, and micro-macro decomposition on the dual space, to justify the limits to the macroscopic system, a non-Euler type hyperbolic system. We believe our method has widely application in the collective motions and active particle systems. This is a joint work with Prof. Ning JIANG and Prof. Yi-Long LUO.

Speaker

张腾飞，中国地质大学（武汉）数学与物理学院副教授。主要研究领域为偏微分方程，包括复杂流体、宏微观耦合模型、分子动理学理论等方面，主要成果发表在ARMA、SIAM-JMA、CVPDE、JDE等国际学术期刊。