Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks

DOI10.1051/m2an/2015078zbMath1370.65042arXiv1503.02826OpenAlexW2212095845MaRDI QIDQ2830698

Carlotta Donadello, Ulrich Razafison, Massimiliano Daniele Rosini, Boris P. Andreianov

Publication date: 28 October 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02826

zbMATH Keywords

finite volume schemecrowd dynamicsscalar conservation lawBraess' paradoxcapacity dropfaster is slowernon-local point constraint

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Traffic problems in operations research (90B20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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