Hamilton-Jacobi交通流模型的动力学推导
Kinetic derivation of a Hamilton-Jacobi traffic flow model
AI总结：
通过回顾车辆交通的动力学模型，推导出宏观方程，得到修正的Aw-Rascle方程和新型Hamilton-Jacobi型交通方程，并通过微观模型讨论和数值实验比较不同模型在高速公路交通中的表现。
摘要：
回顾并考虑了从推导宏观方程的角度出发的车辆交通动力学模型。相关宏观交通流方程的推导导致了不同类型的方程：在某些情况下，得到修正的Aw-Rascle方程。另一方面，对于几种动力学参数的选择，发现了新的Hamilton-Jacobi型交通方程。讨论了相关的微观模型，并给出了数值实验，讨论了高速公路交通的几种情况，并比较了不同的模型。
英文摘要：
Kinetic models for vehicular traffic are reviewed and considered from the point of view of deriving macroscopic equations. A derivation of the associated macroscopic traffic flow equations leads to different types of equations: in certain situations modified Aw-Rascle equations are obtained. On the other hand, for several choices of kinetic parameters new Hamilton-Jacobi type traffic equations are found. Associated microscopic models are discussed and numerical experiments are presented discussing several situations for highway traffic and comparing the different models.
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。
