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arXiv · 1712.07677

A Riemann solver at a junction compatible with a homogenization limit

Mauro Garavello·Francesca Marcellini
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Abstract

We consider a junction regulated by a traffic lights, with n incoming roads and only one outgoing road. On each road the Phase Transition traffic model, proposed in [6], describes the evolution of car traffic. Such model is an extension of the classic Lighthill-Whitham-Richards one, obtained by assuming that different drivers may have different maximal speed. By sending to infinity the number of cycles of the traffic lights, we obtain a justification of the Riemann solver introduced in [9] and in particular of the rule for determining the maximal speed in the outgoing road.

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Mauro Garavello, Francesca Marcellini. 2017-12-20. A Riemann solver at a junction compatible with a homogenization limit. https://arxiv.org/abs/1712.07677

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