A fluid dynamic model for T-junctions

Alessia Marigo, Benedetto Piccoli

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


Motivated by real road junctions, we consider a new fluid dynamic model for traffic flow on networks. In particular at T-junctions, beside some flows distribution and/or merging, there happen some interactions of cars coming from different roads and going to different destinations. After determining some rules to uniquely solve Riemann problems, we prove existence of solutions on complete networks for initial data with bounded variation (and their limits in Lloc1).

Original languageEnglish (US)
Pages (from-to)2016-2032
Number of pages17
JournalSIAM Journal on Mathematical Analysis
Issue number6
StatePublished - 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics


  • Conservation laws
  • T-junctions
  • Traffic flow on networks

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