This survey paper deals with a system of conservation laws on a network composed by a single node with n incoming and m outgoing arcs. We analyze the Cauchy problem in the case of the Lighthill-Whitham-Richards (LWR) model for traffic and in the case of the p-system. Some open problems are presented.
Garavello, M. (2011). Conservation laws at a node. In A. Bressan, G. Chen, M. Lewicka, D. Wang (a cura di), Nonlinear conservation laws and applications (pp. 293-302). Springer [10.1007/978-1-4419-9554-4_15].
Conservation laws at a node
Garavello, M
2011
Abstract
This survey paper deals with a system of conservation laws on a network composed by a single node with n incoming and m outgoing arcs. We analyze the Cauchy problem in the case of the Lighthill-Whitham-Richards (LWR) model for traffic and in the case of the p-system. Some open problems are presented.File in questo prodotto:
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