A strongly coupled PDE-ODE system modeling moving density constraints in traffic flow

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.
Type de document :
Communication dans un congrès
HYP2012 - 14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Jun 2012, Padova, Italy. pp.501-508, 2014, AIMS on Applied Mathematics
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https://hal.inria.fr/hal-00929987
Contributeur : Maria Laura Delle Monache <>
Soumis le : mardi 14 janvier 2014 - 11:01:30
Dernière modification le : lundi 3 septembre 2018 - 14:46:03

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  • HAL Id : hal-00929987, version 1

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Maria Laura Delle Monache, Paola Goatin. A strongly coupled PDE-ODE system modeling moving density constraints in traffic flow. HYP2012 - 14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Jun 2012, Padova, Italy. pp.501-508, 2014, AIMS on Applied Mathematics. 〈hal-00929987〉

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