A MATHEMATICAL-MODEL OF TRAFFIC FLOW ON A NETWORK OF UNIDIRECTIONAL ROADS

Authors
HOLDEN H RISEBRO NH
Citation
H. Holden et Nh. Risebro, A MATHEMATICAL-MODEL OF TRAFFIC FLOW ON A NETWORK OF UNIDIRECTIONAL ROADS, SIAM journal on mathematical analysis, 26(4), 1995, pp. 999-1017
Citations number
24
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
26
Issue
4
Year of publication
1995
Pages
999 - 1017
Database
ISI
SICI code
0036-1410(1995)26:4<999:AMOTFO>2.0.ZU;2-H
Abstract
We introduce a model that describes heavy traffic on a network of unid irectional roads. The model consists of a system of initial-boundary v alue problems for nonlinear conservation laws. We uniquely formulate a nd solve the Riemann problem for such a system and, based on this, the n show existence of a solution to the Cauchy problem.