Scalar conservation laws with moving density constraints arising in traffic flow modeling

Maria Laura Delle Monache 1 Paola Goatin 1
1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : We prove the existence of solutions of a coupled PDE-ODE system modeling the interaction of a large slow moving vehicle with the surrounding traffic flow. The model consists in a scalar conservation law with moving density constraint describing traffic evolution coupled with an ODE for the slow vehicle trajectory. The constraint location moves due to the surrounding traffic conditions, which in turn are affected by the presence of the slower vehicle, thus resulting in a strong non-trivial coupling.
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Rapport
[Research Report] RR-8119, INRIA. 2012, pp.14


https://hal.inria.fr/hal-00745671
Contributeur : Paola Goatin <>
Soumis le : vendredi 26 octobre 2012 - 10:56:02
Dernière modification le : vendredi 16 septembre 2016 - 15:17:20
Document(s) archivé(s) le : dimanche 27 janvier 2013 - 03:39:47

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Maria Laura Delle Monache, Paola Goatin. Scalar conservation laws with moving density constraints arising in traffic flow modeling. [Research Report] RR-8119, INRIA. 2012, pp.14. <hal-00745671>

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