Shock Formation in Traffic Flow Models with Nonlocal Look Ahead and Behind Flux

Research output: Contribution to book or proceedingConference articlepeer-review

Abstract

In this work, we study a Lighthill-Whitham-Richard (LWR) type traffic flow model with a non-local flux. We identify a threshold condition for shock formation for traffic flow models with Arrhenius look-ahead-behind (i.e., nudging) dynamics with concave-convex flux.

Original languageEnglish
Title of host publicationApplied Mathematical Analysis and Computations II - 1st SGMC
EditorsDivine Wanduku, Shijun Zheng, Zhan Chen, Andrew Sills, Haomin Zhou, Ephraim Agyingi
PublisherSpringer
Pages301-317
Number of pages17
ISBN (Print)9783031697098
DOIs
StatePublished - 2024
Event1st Southern Georgia Mathematics Conference, SGMC 2021 - Virtual, Online
Duration: Apr 2 2021Apr 3 2021

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume472
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference1st Southern Georgia Mathematics Conference, SGMC 2021
CityVirtual, Online
Period04/2/2104/3/21

Scopus Subject Areas

  • General Mathematics

Keywords

  • Blow-up
  • Critical threshold
  • Look-ahead dynamics
  • Nonlocal conservation law
  • Traffic flow
  • Wave-breaking

Fingerprint

Dive into the research topics of 'Shock Formation in Traffic Flow Models with Nonlocal Look Ahead and Behind Flux'. Together they form a unique fingerprint.

Cite this