Traffic flow on a road network using the aw-rascle model

被引：128
|
作者：
Garavello, M
Piccoli, B
机构：
[1] Univ Milan, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy
[2] CNR, Inst Applicaz Calcolo Mauro Picone, Rome, Italy
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 31卷 / 02期
关键词：
conservation laws; road network; traffic flow;
D O I：
10.1080/03605300500358053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The article deals with a fluid dynamic model for traffic flow on a road network. This consists of a hyperbolic system of two equations proposed in Aw and Rascle (2000). A method to solve Riemann problems at junctions is given assigning rules on traffic distributions and maximizations of fluxes and other quantities. Then we discuss stability in L-infinity norm of such solutions. Finally, we prove existence of entropic solutions to the Cauchy problem when the road network has only one junction.
引用
收藏
页码：243 / 275
页数：33
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