The Riemann Solver for Traffic Flow at an Intersection with Buffer of\n Vanishing Size

2015/12/10 by Alberto Bressan, Bressan, Alberto, Anders Nordli +1 · 1 citation
Computer Science · Engineering · Mathematics · Social Sciences · #35L65 #90B20 #Analysis of PDEs (math.AP) #Evacuation and Crowd Dynamics #FOS: Mathematics #Polynomial and algebraic computation #Traffic control and management #Transportation Planning and Optimization #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1512.03269

openalex publication_date 2015/12/10 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

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

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