Stability estimates for nonlocal balance laws arising in traffic modelling
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 soluti...
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| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.2301.08576 |