Comptes Rendus
no. 12
Nonlinear models of vehicular traffic flow – new frameworks of the mathematical kinetic theory
[Modèles non-linéaires de trafic véhiculaire. Nouvelles structures de la théorie mathématique cinétique]

Présenté par : Évariste Sanchez-Palencia

Marcello Delitala1
1 Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Comptes Rendus. Mécanique, Volume 331 (2003) no. 12, pp. 817-822.

Ce travail est consacrè à la construction des structures mathématiques pour modéliser des phénomènes de traffic véhiculaire en utilisant des développements appropriés des équations classiques de la théorie cinétique. La dérivation de divers types d'équations d'évolution et diverses structures mathématiques vers des applications appropriées sont proposées.

This paper deals with the design of mathematical frameworks for the modeling of traffic flow phenomena by suitable developments of classical models of the kinetic theory. Various types of evolution equations are deduced, and different mathematical structures are proposed toward conceivable applications.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2003.09.008
Keywords: Dynamical systems, Traffic flow, Kinetic theory, Nonlinear sciences
Mot clés : Systèmes dynamiques, Flux du traffic, Théorie cinétique, Sciences non-linéaires
Marcello Delitala 1

1 Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy 
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Marcello Delitala. Nonlinear models of vehicular traffic flow – new frameworks of the mathematical kinetic theory. Comptes Rendus. Mécanique, Volume 331 (2003) no. 12, pp. 817-822. doi : 10.1016/j.crme.2003.09.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2003.09.008/

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