Homogenization of a microscopic pedestrians model on a convergent junction

DOI10.1051/mmnp/2022023zbMath1514.35020OpenAlexW4281619651MaRDI QIDQ6040309

Nicolas Forcadel, Mamdouh Zaydan, Nader El Khatib

Publication date: 25 May 2023

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2022023

zbMATH Keywords

Hamilton-Jacobi equationsviscosity solutionsnonlocal operatorsSlepčev formulationspecified homogenizationpedestriansmicroscopic model on junction

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Nonlinear first-order PDEs (35F20) Traffic problems in operations research (90B20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Viscosity solutions to PDEs (35D40)

Related Items (3)

Traveling solutions for a multi-anticipative car-following traffic model ⋮ Homogenization of some periodic Hamilton-Jacobi equations with defects ⋮ Regularizing effect for unbounded flux-limited viscosity solutions of a discontinuous Hamilton-Jacobi equation on junction

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