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The Cauchy problem at a node with buffer

Abstract : We consider the Lighthill-Whitham-Richards traffic flow model on a network composed by an arbitrary number of incoming and outgoing arcs connected together by a node with a buffer. Similar to [M. Herty, J.-P. Lebacque, and S. Moutari. A novel model for intersections of vehicular traffic flow. Netw. Heterog. Media, 4(4):813–826 (electronic), 2009], we define the solution to the Riemann problem at the node and we prove existence and well posedness of solutions to the Cauchy problem, by using the wave-front tracking technique and the generalized tangent vectors.
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https://hal.inria.fr/inria-00556954
Contributor : Paola Goatin <>
Submitted on : Tuesday, January 18, 2011 - 10:53:08 AM
Last modification on : Monday, October 12, 2020 - 2:28:02 PM
Long-term archiving on: : Tuesday, April 19, 2011 - 2:52:16 AM

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  • HAL Id : inria-00556954, version 1

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Mauro Garavello, Paola Goatin. The Cauchy problem at a node with buffer. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2012. ⟨inria-00556954⟩

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