Traffic flow models with phase transitions on road networks

2009, Volume 4, Issue 2: 287-301. doi: 10.3934/nhm.2009.4.287

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Institut de Mathématiques de Toulon et du Var, I.S.I.T.V., Université du Sud - Toulon - Var, B.P. 56, 83162 La Valette du Var Cedex

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].
- Hyperbolic Conservation Laws,
- Riemann Problem,
- Phase Transitions,
- Continuum Traffic Models
Citation: Paola Goatin. Traffic flow models with phase transitions on road networks[J]. Networks and Heterogeneous Media, 2009, 4(2): 287-301. doi: 10.3934/nhm.2009.4.287

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Abstract

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].
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