A Riemann solver at a junction compatible with a homogenization limit

作者：Garavello M^*; Marcellini F^*

来源：Journal of Mathematical Analysis and Applications, 2018, 464(2): 1333-1351.

DOI：10.1016/j.jmaa.2018.04.068

• Phase transition model
• Hyperbolic systems of conservation laws
• Continuum traffic models
• Homogenization limit

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.

• 出版日期2018-8-15