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

来源: 06-01

时间:6月1日星期四 16:00-17:00

地点:Lecture Hall, Floor 3, Jin Chun Yuan West Building

组织者:应用与计算数学团队

主讲人:张腾飞 中国地质大学(武汉)

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。

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