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Preprint 2015-028

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

Alberto Bressan and Anders Nordli

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.

Reference
[2] A. Bressan and K. Nguyen, Conservation law models for traffic flow on a network of roads. Netw. Heter. Media 10 (2015), 255–293. (Preprint 2014-009, MR3356497)
Paper:
Available as PDF (249 Kbytes).
Author(s):
Alberto Bressan
Anders Nordli
Submitted by:
; 2015-12-10.