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.
[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)