SYSTEMS OF HYPERBOLIC CONSERVATION-LAWS ON NETWORKS - A MODEL FOR TRAFFIC FLOW

Authors
HOLDEN H RISEBRO NH MARTINSEN TW
Citation
H. Holden et al., SYSTEMS OF HYPERBOLIC CONSERVATION-LAWS ON NETWORKS - A MODEL FOR TRAFFIC FLOW, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 295-298
Citations number
5
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
3
Pages
295 - 298
Database
ISI
SICI code
0044-2267(1996)76:<295:SOHCON>2.0.ZU;2-Y
Abstract
We provide a new model for heavy traffic on a city network based on th e Lighthill-Whitham model for individual streets. The model consists o f a number of scalar conservation laws on line segments. The intersect ions of roads are modeled by boundary conditions at the end of each li ne segment. Existence theorems have been established for this system o f equations, and here we focus on computational results.