HYDRODYNAMIC LIMITS OF THE KINETIC SELF-ORGANIZED MODELS
HYDRODYNAMIC LIMITS OF THE KINETIC SELF-ORGANIZED MODELS
复制标题
动力学自组织模型的流体动力学极限
DOI：
10.1137/15m1035665
复制
发表时间：
2016-01-01
影响因子：
2
通讯作者：
Zhang, Teng-Fei
中科院分区：
文献类型：
--
作者：
Jiang, Ning;Xiong, Linjie;Zhang, Teng-Fei
自组织流体动力学模型可以从Vicsek模型的动力学版本导出。宏观方程的形式推导和局部适定性由Degond和他的合作者完成。在本文中，我们严格证明这个水动力极限。
The self-organized hydrodynamic models can be derived from the kinetic version of the Vicsek model. The formal derivations and local well-posedness of the macroscopic equations are done by Degond and his collaborators. In this paper, we rigorously justify this hydrodynamic limit.