Nonlinear models of vehicular traffic flow – new frameworks of the mathematical kinetic theory

Marcello Delitala

doi:10.1016/j.crme.2003.09.008

Nonlinear models of vehicular traffic flow – new frameworks of the mathematical kinetic theory

Presented by: Évariste Sanchez-Palencia

Marcello Delitala ¹

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.

Abstract
Résumé

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.

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.

Received: 2003-09-18
Accepted: 2003-09-23
Published online: 2003-11-07

DOI: 10.1016/j.crme.2003.09.008

Keywords: Dynamical systems, Traffic flow, Kinetic theory, Nonlinear sciences
Mots-clés : Systèmes dynamiques, Flux du traffic, Théorie cinétique, Sciences non-linéaires

Author's affiliations:

Marcello Delitala ¹

¹ Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy

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     title = {Nonlinear models of vehicular traffic flow {\textendash} new frameworks of the mathematical kinetic theory},
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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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