Differential constraints and exact solution to Riemann problems for a traffic flow model

DOI10.1007/S10440-012-9735-XzbMath1257.35127OpenAlexW2074077618MaRDI QIDQ1928083

Natale Manganaro, Domenico Fusco, Carmela Currò

Publication date: 2 January 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9735-x

zbMATH Keywords

Riemann problemtraffic flowsdifferential constraintsdissipative wave processesgreen traffic light problem

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Traffic problems in operations research (90B20) Initial value problems for first-order hyperbolic systems (35L45)

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Cites Work

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• Hodograph transformation and differential constraints for wave solutions to 2 × 2 quasilinear hyperbolic nonhomogeneous systems
• A reduction procedure for generalized Riemann problems with application to nonlinear transmission lines
• A method for finding exact solutions to hyperbolic systems of first-order PDEs

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