Traffic Flow: Modeling & Control

Publications

Stefano Bianchini and Rinaldo M. Colombo
On the Stability of the Standard Riemann Semigroup
Proceedings of the A.M.S.,130, n°7, 1961-1973, 2002

Gabriella Bretti
Numerical methods for hyperbolic conservation laws
Ph.D. Thesis (rel. R. Natalini),
Univ. Roma La Sapienza, 2005

Gabriella Bretti, Roberto Natalini and Benedetto Piccoli,
Numerical approximation of hydrodynamic modles of traffic on networks
Preprint

Rinaldo M. Colombo
On a 2x2 Hyperbolic Traffic Flow Model
Math and Comp. Modelling, 35-36, 2002

Rinaldo M. Colombo
Hyperbolic Phase Transitions in Traffic Flow
SIAM J. on Appl. Math., 63 (2):708-721, 2002

Rinaldo M. Colombo
Phase Transitions in a Traffic Flow Model
Proc. Appl. Math. Mech. 3, 20-23, 2003

Rinaldo M. Colombo and Alessandro Groli
On the Optimization of a Conservation Law
Calculus of Variations and P.D.E.s, 19, 3, 269-280, 2004

Rinaldo M. Colombo and Alessandro Groli
Minimising Stop and Go Waves to Optimise Traffic Flow
Applied Math. Letters, 17/6, 697-701, 2004

Rinaldo M. Colombo and Andrea Marson
A Hölder Continuous O.D.E. Related to Traffic Flow
The Royal Society of Edinburgh Proceedings A, 133A, 750-772, 2003

Yacine Chitour, Benedetto Piccoli
Traffic circles and timing of lights for car flows
To appear on Discrete and Cont. Dyn. Syst., Series B

Mauro Garavello, Benedetto Piccoli
Traffic flow on a road network using the Aw-Rascle model
Preprint

Collaborations

Sylvie Benzoni - Gavage	Université Lyon I - Maply
Paola Goatin	I.S.I.T.V. Toulon
Piotr Gwiazda	Warsaw University- Institute of Applied Mathematics
J.Patrick Lebacque	E.N.T.P.E. - Parigi
Giulio Maternini	Brescia University - Department of Civil Engineering