The Riemann Solver for Traffic Flow at an Intersection with Buffer of Vanishing Size
Analysis of PDEs
2015-12-11 v1
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 approach 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.
Keywords
Cite
@article{arxiv.1512.03269,
title = {The Riemann Solver for Traffic Flow at an Intersection with Buffer of Vanishing Size},
author = {Alberto Bressan and Anders Nordli},
journal= {arXiv preprint arXiv:1512.03269},
year = {2015}
}
Comments
18 pages, 5 figures. Current version is submitted to Networks and Heterogeneous Media