论文标题
长时间和大量的离散cucker-smale对准模型的人群动态
Long time and large crowd dynamics of discrete Cucker-Smale alignment models
论文作者
论文摘要
我们在分析cucker-smale Alignment Dynamics的长时间，大量人群的行为时，就鸟类的眼光提供了视野。我们考虑了一类（完全）离散的模型，特别关注一般对齐协议，其中具有时间依赖时间的代理人由大量的重尾通信内核驱动。时间依赖性质量的存在尤其允许非对称性通信。在文献中重新审视已知结果的同时，我们还为长期蜂拥而至/蜂群行为的各个方面开发了新的灯光，这是由于能量波动和重尾连通性的衰减所驱动的。我们还从欧拉对准模型的流体动力描述方面讨论了大量的人群动态。
We provide a bird's eye view on developments in analyzing the long time, large crowd behavior of Cucker-Smale alignment dynamics. We consider a class of (fully-)discrete models, paying particular attention to general alignment protocols in which agents, with possibly time-dependent masses, are driven by a large class of heavy-tailed communication kernels. The presence of time-dependent masses allows, in particular, non-symmetric communication. While revisiting known results in the literature, we also shed new light of various aspects on the long time flocking/swarming behavior, driven by the decay of energy fluctuations and heavy-tailed connectivity. We also discuss the large crowd dynamics in terms of the hydrodynamic description of Euler alignment models.
