On the mathematical theory of vehicular traffic flow - I. Fluid dynamic and kinetic modelling

On the mathematical theory of vehicular traffic flow - I. Fluid dynamic and kinetic modelling
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DOI:
10.1142/s0218202502002343
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发表时间:
2002-12-01
影响因子:
3.5
通讯作者:
Coscia, V
Coscia, V
中科院分区:
数学1区
文献类型:
--
作者:
Bellomo, N;Delitala, M;Coscia, V

文献摘要

被引文献

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这篇综述报告了现有的关于交通流模型的文献,这是一个批判性的综述,目的是指出研究的观点。内容主要涉及流体力学和动力学方程的建模,分为三个部分。第一部分涉及数学建模的方法论方面和对实验结果的解释。第二部分致力于建模,涉及方法论方面和对一些具体模型的描述。第三部分是关于应用和研究前景的概述。
This review reports the existing literature on traffic flow modelling in the framework of a critical overview which aims to indicate research perspectives. The contents mainly refer to modelling by fluid dynamic and kinetic equations and are arranged in three parts. The first part refers to methodological aspects of mathematical modelling and to the interpretation of experimental results. The second part is devoted to modelling and deals both with methodological aspects and with the description of some specific models. The third part reports about an overview on applications and research perspectives.