Traffic flow models with phase transitions on road networks

Paola Goatin (1)

1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE

The paper presents a review of the main analytical results available on the traffic flow model with phase transitions described in [10]. We also introduce a forthcoming existence result on road networks [14].

Domaines: Equations aux dérivées partielles [math.AP]

Paola Goatin. Traffic flow models with phase transitions on road networks. Networks and Heterogeneous Media, 2009, 4 (2), pp.287-301. ⟨10.3934/nhm.2009.4.xx⟩. ⟨hal-00765451⟩