Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

WELL-POSEDNESS FOR A MONOTONE SOLVER FOR TRAFFIC JUNCTIONS

Abstract : In this paper we aim at proving well-posedness of solutions obtained as vanishing viscosity limits for the Cauchy problem on a traffic junction where $m$ incoming and $n$ outgoing roads meet. The traffic on each road is governed by a scalar conservation law $\rho_{h,t} + f_h (\rho_h)_x =0, for $h =1,..., m+n$. Our proof relies upon the complete description of the set of road-wise constant solutions and its properties, which is of some interest on its own. Then we introduce a family of Kruzhkov-type adapted entropies at the junction and state a definition of admissible solution in the same spirit as in [1, 2, 4, 15, 17].
Complete list of metadatas

Cited literature [29 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01312742
Contributor : Boris Andreianov <>
Submitted on : Monday, May 9, 2016 - 6:37:15 AM
Last modification on : Thursday, December 26, 2019 - 12:00:13 PM
Document(s) archivé(s) le : Wednesday, May 25, 2016 - 7:21:57 AM

File

transmission_junction-HAL.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution - NonCommercial 4.0 International License

Identifiers

  • HAL Id : hal-01312742, version 1
  • ARXIV : 1605.01554

Collections

Citation

Boris Andreianov, Guiseppe Maria Coclite, Carlotta Donadello. WELL-POSEDNESS FOR A MONOTONE SOLVER FOR TRAFFIC JUNCTIONS. 2016. ⟨hal-01312742⟩

Share

Metrics

Record views

406

Files downloads

92