Specified homogenization of a discrete traffic model leading to an effective junction condition

DOI10.3934/cpaa.2018104zbMath1428.35027OpenAlexW2801696796WikidataQ129845763 ScholiaQ129845763MaRDI QIDQ1660048

Wilfredo Salazar, Mamdouh Zaydan, Nicolas Forcadel

Publication date: 23 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018104

zbMATH Keywords

traffic flowmacroscopic modelsmicroscopic modelsSlepčev formulation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Nonlinear first-order PDEs (35F20) Traffic problems in operations research (90B20) Discrete version of topics in analysis (39A12) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (6)

Homogenization of a microscopic pedestrians model on a convergent junction ⋮ Homogenization of some periodic Hamilton-Jacobi equations with defects ⋮ Semidiscrete shocks for the full velocity difference model ⋮ Microscopic derivation of a traffic flow model with a bifurcation ⋮ Homogenization of a discrete model for a bifurcation and application to traffic flow ⋮ Stochastic homogenization of Hamilton-Jacobi equations on a junction

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