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

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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Reports
[Research Report] RR-8119, 2012, pp.14


https://hal.inria.fr/hal-00745671
Contributor : Paola Goatin <>
Submitted on : Friday, October 26, 2012 - 10:56:02 AM
Last modification on : Saturday, October 27, 2012 - 3:28:52 PM

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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, 2012, pp.14. <hal-00745671>

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