群体互动的微分方程模型
Differential Equations Modeling Crowd Interactions
摘要：
非局部守恒律被用来描述群体行为的各种现实情况。首先，通过一个“ad hoc”的适定性定理，建立了多维非局部守恒律系统与常微分方程系统非局部相互作用的基本分析框架。数值积分显示可能的应用程序的相互作用的不同群体的行人，也与其他“代理”。
英文摘要：
Nonlocal conservation laws are used to describe various realistic instances of crowd behaviors. First, a basic analytic framework is established through an "ad hoc" well posedness theorem for systems of nonlocal conservation laws in several space dimensions interacting non locally with a system of ODEs. Numerical integrations show possible applications to the interaction of different groups of pedestrians, and also with other "agents".
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。
