We consider the Lighthill-Whitham-Richards traffic flow model on a network composed by a single junction J with n incoming roads, m outgoing roads and m buffers, one for each outgoing road. We introduce a concept solution at J, which is compared with that proposed in [14]. Finally we study the Cauchy problem and, in the special case of n≤2 and m≤2, we prove existence of solutions to the Cauchy problem, via the wave-front tracking method.
Garavello, M. (2014). The LWR traffic model at a junction with multibuffers. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 7(3), 463-482 [10.3934/dcdss.2014.7.463].
The LWR traffic model at a junction with multibuffers
GARAVELLO, MAURO
2014
Abstract
We consider the Lighthill-Whitham-Richards traffic flow model on a network composed by a single junction J with n incoming roads, m outgoing roads and m buffers, one for each outgoing road. We introduce a concept solution at J, which is compared with that proposed in [14]. Finally we study the Cauchy problem and, in the special case of n≤2 and m≤2, we prove existence of solutions to the Cauchy problem, via the wave-front tracking method.
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