hal-00745671, version 1
Scalar conservation laws with moving density constraints arising in traffic flow modeling
Maria Laura Delle Monache a, 1Paola Goatin
1
N° RR-8119 (2012)
Résumé : 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.
- a – INRIA
- 1 : OPALE (INRIA Sophia Antipolis / INRIA Grenoble Rhône-Alpes)
- INRIA – CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]
- Domaine : Mathématiques/Equations aux dérivées partielles
- Référence interne : RR-8119
- hal-00745671, version 1
- http://hal.inria.fr/hal-00745671
- oai:hal.inria.fr:hal-00745671
- Contributeur : Paola Goatin
- Soumis le : Vendredi 26 Octobre 2012, 10:56:02
- Dernière modification le : Samedi 27 Octobre 2012, 15:28:52






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