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微分方程与动力系统系列学术报告:From kinetic flocking model of Cucker-Smale type to self-organized hydrodynamic model

发布人:日期:2024年05月06日 15:43浏览数:

报告题目:From kinetic flocking model of Cucker-Smale type to self-organized hydrodynamic model

报 告 人:张腾飞副教授(中国地质大学(武汉))

报告时间:2024510日  9:00

报告地点:格物楼307报告厅

报告摘要:

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.

报告人简介:

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,包括分子动理学理论与自组织模型、复杂流体与宏微观耦合模型等方面,主要成果发表在ARMASIAM-JMACVPDEJDE等国际学术期刊。先后主持国家自然科学基金青年项目、面上项目各1项。

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