Name
Abstract | ||
|---|---|---|
We revisit the entropy formulation and the wave-front tracking construction of physically admissible solutions of the Aw-Rascle and Zhang (ARZ) "second-order" model for vehicular traffic. A Kruzhkov-like family of entropies is introduced to select the admissible shocks. This tool allows to define rigorously the appropriate notion of admissible weak solution and to approximate the solutions of the ARZ model with point constraint. Stability of solutions w.r.t. strong convergence is justified. We propose a finite volumes numerical scheme for the constrained ARZ, and we show that it can correctly locate contact discontinuities and take the constraint into account. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.3934/nhm.2016.11.29 | NETWORKS AND HETEROGENEOUS MEDIA |
Keywords | Field | DocType |
Road traffic modeling,point constraint,Aw-Rascle and Zhang model,entropies,renormalization,admissible solutions,numerical experiments | Renormalization,Convergence (routing),Probability and statistics,Mathematical optimization,Classification of discontinuities,Mathematical analysis,Weak solution,Zhàng,Mathematics | Journal |
Volume | Issue | ISSN |
11 | SP1 | 1556-1801 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Boris P. Andreianov | 1 | 0 | 0.34 |
| Carlotta Donadello | 2 | 0 | 1.01 |
| Ulrich Razafison | 3 | 0 | 0.68 |
| julien yves rolland | 4 | 0 | 0.34 |
| Massimiliano D. Rosini | 5 | 0 | 1.35 |