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Conservation Laws with Unilateral Constraints in Traffic Modeling

Abstract : Macroscopic models for both vehicular and pedestrian traffic are based on conservation laws. The mathematical description of toll gates along roads or of the escape dynamics for crowds needs the introduction of unilateral constraints on the observable flow. This note presents a rigorous approach to these constraints, and numerical integrations of the resulting models are included to show their practical usability.
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Rinaldo M. Colombo, Paola Goatin, Massimiliano D Rosini. Conservation Laws with Unilateral Constraints in Traffic Modeling. De Bernardis E. and Spigler R. and Valente V. Applied and Industrial Mathematics in Italy III, 82, Series on Advances in Mathematics for Applied Sciences, pp.244-255, 2009, ⟨10.1685/CSC09XXX⟩. ⟨hal-00765427⟩



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