The LWR traffic model at a junction with multibuffers

Mauro Garavello

doi:10.3934/dcdss.2014.7.463

Article Contents

2014, Volume 7, Issue 3: 463-482. Doi: 10.3934/dcdss.2014.7.463

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The LWR traffic model at a junction with multibuffers

Mauro Garavello^1,

1.
Dipartimento di Matematica e Applicazioni, Via R. Cozzi 55, 20125 Milano

Received: May 2013

Revised: July 2013

Published: June 2014

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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 $n \le 2$ and $m \le 2$, we prove existence of solutions to the Cauchy problem, via the wave-front tracking method.

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Mathematics Subject Classification: Primary: 35L65; Secondary: 35R02.

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