The riemann solver for traffic flow at an intersection with buffer of vanishing size

Alberto Bressan; Anders Nordli

doi:10.3934/nhm.2017007

The riemann solver for traffic flow at an intersection with buffer of vanishing size

Alberto Bressan, Anders Nordli

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The paper examines the model of traffic flow at an intersection introduced in [2], containing a buffer with limited size. As the size of the buffer approaches zero, it is proved that the solution of the Riemann problem with buffer converges to a self-similar solution described by a specific Limit Riemann Solver (LRS). Remarkably, this new Riemann Solver depends Lipschitz continuously on all parameters.

Original language	English (US)
Pages (from-to)	173-189
Number of pages	17
Journal	Networks and Heterogeneous Media
Volume	12
Issue number	2
DOIs	https://doi.org/10.3934/nhm.2017007
State	Published - 2017

All Science Journal Classification (ASJC) codes

Statistics and Probability
General Engineering
Computer Science Applications
Applied Mathematics

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abstract = "The paper examines the model of traffic flow at an intersection introduced in [2], containing a buffer with limited size. As the size of the buffer approaches zero, it is proved that the solution of the Riemann problem with buffer converges to a self-similar solution described by a specific Limit Riemann Solver (LRS). Remarkably, this new Riemann Solver depends Lipschitz continuously on all parameters.",

author = "Alberto Bressan and Anders Nordli",

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AB - The paper examines the model of traffic flow at an intersection introduced in [2], containing a buffer with limited size. As the size of the buffer approaches zero, it is proved that the solution of the Riemann problem with buffer converges to a self-similar solution described by a specific Limit Riemann Solver (LRS). Remarkably, this new Riemann Solver depends Lipschitz continuously on all parameters.

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The riemann solver for traffic flow at an intersection with buffer of vanishing size

Abstract

All Science Journal Classification (ASJC) codes

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