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.
Capitolo o saggio
conservation laws, network
English
Nonlinear conservation laws and applications
Bressan, A; Chen, GQG; Lewicka, M; Wang, D
2011
978-1-4419-9553-7
153
Springer
293
302
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/37404
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