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A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
Helge Holden, Nils Henrik Risebro
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Source: Crossref
Published: Jul 1, 1995
DOI: 10.1137/s0036141093243289
Open original source ↗Source abstract
We introduce a model that describes heavy traffic on a network of unidirectional roads. The model consists of a system of initial-boundary value problems for nonlinear conservation laws. We uniquely formulate and solve the Riemann problem for such a system and, based on this, then show existence of a solution to the Cauchy problem.
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