Consider a junction with n incoming and m outgoing roads. Along each road, the flow of traffic is described through the continuum model displaying phase transitions introduced by R. M. Colombo (2002). This note provides a Riemann solver for the resulting Riemann problem at the junction.
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Proceedings of the XXV International Seminar on Stability Problems for Stochastic Models, Maiori (Salerno), Italy, September 20–24, 2005.
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Colombo, R.M., Garavello, M. Phase Transition Model for Traffic at a Junction. J Math Sci 196, 30–36 (2014). https://doi.org/10.1007/s10958-013-1631-z
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DOI: https://doi.org/10.1007/s10958-013-1631-z