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

被引：118

作者：

Bellomo, N ^{[1
]}

Delitala, M

Coscia, V

机构：

[1] Politecn Torino, Dept Math, I-10128 Turin, Italy

[2] Univ Ferrara, Dept Math, I-44100 Ferrara, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2002年 / 12卷 / 12期

关键词：

traffic flow; hydrodynamics; kinetic theory; nonlinear sciences;

D O I：

10.1142/S0218202502002343

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1801 / 1843

页数：43

共 67 条

[1] Patterns of alcoholism: A mathematical model [J].