Traffic flow models with phase transitions on road networks

Paola Goatin

doi:10.3934/nhm.2009.4.287

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

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Traffic flow models with phase transitions on road networks

Paola Goatin^1,

1.
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

Received: August 31, 2008

Revised: November 30, 2008

Published: May 2009

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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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Mathematics Subject Classification: 90B20, 35L65.

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