Open AccessContinuous Riemann solvers for traffic flow at a junction
Author(s) -
Alberto Bressan,
Fang Yu
Publication year - 2015
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2015.35.4149
Subject(s) - riemann hypothesis , riemann problem , riemann solver , solver , cauchy distribution , traffic flow (computer networking) , flow (mathematics) , class (philosophy) , mathematics , computer science , mathematical analysis , mathematical optimization , physics , mechanics , geometry , computer network , finite volume method , artificial intelligence
The paper studies a class of conservation law models for traffic flow on a family of roads, near a junction. A Riemann Solver is constructed, where the incoming and outgoing fluxes depend Holder continuously on the traffic density and on the drivers' turning preferences. However, various examples show that, if junction conditions are assigned in terms of Riemann Solvers, then the Cauchy problem on a network of roads can be ill posed, even for initial data having small total variation.
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