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Journal of Engineering Mathematics
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01-08-2023

Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux

Authors: F. A. Chiarello, H. D. Contreras, L. M. Villada

Published in: Journal of Engineering Mathematics | Issue 1/2023

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Abstract

This article delves into the analysis of non-local conservation laws with a single spatial discontinuity in the flux, specifically focusing on vehicular traffic models. It introduces a novel upwind-type numerical scheme to approximate solutions, proving the existence and uniqueness of weak entropy solutions. The study highlights the convergence of the numerical scheme as the support of the kernel function tends to zero, illustrating the behavior of solutions through comprehensive numerical simulations. The paper is particularly notable for its rigorous mathematical treatment and practical applications in traffic flow dynamics.
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Metadata
Title
Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux
Authors
F. A. Chiarello
H. D. Contreras
L. M. Villada
Publication date
01-08-2023
Publisher
Springer Netherlands
Published in
Journal of Engineering Mathematics / Issue 1/2023
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-023-10284-5

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