Scalar conservation law with discontinuity arising in pedestrian modeling

DOI10.1051/proc/201445051zbMath1331.35226OpenAlexW2167224719MaRDI QIDQ3465895

Matthias Mimault

Publication date: 29 January 2016

Published in: ESAIM: Proceedings and Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/proc/201445051

zbMATH Keywords

eikonal equationwave-front trackingHughes' macroscopic model

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

On existence, stability and many-particle approximation of solutions of 1D Hughes' model with linear costs

Cites Work

• Unnamed Item
• On the Hughes' model for pedestrian flow: the one-dimensional case
• The one-dimensional Hughes model for pedestrian flow: Riemann-type solutions
• The Wave-Front Tracking Algorithm for Hughes' Model of Pedestrian Motion
• A Tracking Algorithm for Car Paths on Road Networks
• T<scp>HE</scp> F<scp>LOW OF</scp> H<scp>UMAN</scp> C<scp>ROWDS</scp>
• Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux
• A fast sweeping method for Eikonal equations

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