具有运动学约束的自推进粒子的集体行为离散描述与连续描述的关系
Collective Behavior of Self Propelling Particles with Kinematic Constraints; The relation between the discrete and the continuous description
摘要：
在两篇论文中，我们提出了一个连续介质模型的动力学自推进粒子系统的运动约束的速度，并讨论了它的一些性质。该模型的目标是类似于T. Vicsek等，本文从离散描述出发，推导出连续的流体动力学模型。所得到的模型和我们以前的论文中假设的流体动力学模型之间的异同进行了讨论。结果澄清了用于获得连续描述的假设。
英文摘要：
In two papers we proposed a continuum model for the dynamics of systems of self propelling particles with kinematic constraints on the velocities and discussed some of its properties. The model aims to be analogous to a discrete algorithm used in works by T. Vicsek et al. In this paper we derive the continuous hydrodynamic model from the discrete description. The similarities and differences between the resulting model and the hydrodynamic model postulated in our previous papers are discussed. The results clarify the assumptions used to obtain a continuous description.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
