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arXiv · 2301.08576

Stability estimates for nonlocal balance laws arising in traffic modelling

Felisia Angela Chiarello·Harold Deivi Contreras
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Abstract

This paper focuses on the proof of the stability of entropy weak solutions of a nonlocal balance law modeling vehicular traffic flow on a road with on- and off-ramps. The stability is obtained with respect to a kernel function in the source term. We get an estimate of the L1-dependence of the solution with respect to the initial datum, the on-ramp rate, the off-ramp rate and the mentioned kernel function. We also show numerical experiments in order to perform an optimization problem in traffic flow with on-ramps.

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Felisia Angela Chiarello, Harold Deivi Contreras. 2023-01-20. Stability estimates for nonlocal balance laws arising in traffic modelling. https://arxiv.org/abs/2301.08576

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