Continuous Dependence for 2??2 Conservation Laws with Boundary, Journal of Differential Equations, vol.138, issue.2, pp.229-266, 1997. ,
DOI : 10.1006/jdeq.1997.3274
Resurrection of "Second Order" Models of Traffic Flow, SIAM Journal on Applied Mathematics, vol.60, issue.3, pp.916-938, 2000. ,
DOI : 10.1137/S0036139997332099
On the role of source terms in continuum traffic flow models, Mathematical and Computer Modelling, vol.44, issue.9-10, pp.44-917, 2006. ,
DOI : 10.1016/j.mcm.2006.02.019
A second order model of road junctions in fluid models of traffic networks, Netw. Heterog. Media, vol.2, pp.227-253, 2007. ,
ON THE MATHEMATICAL THEORY OF VEHICULAR TRAFFIC FLOW I: FLUID DYNAMIC AND KINETIC MODELLING, Mathematical Models and Methods in Applied Sciences, vol.12, issue.12, pp.1801-1844, 2002. ,
DOI : 10.1142/S0218202502002343
Hyperbolic systems of conservation laws, Revista Matem??tica Complutense, vol.12, issue.1, 2000. ,
DOI : 10.5209/rev_REMA.1999.v12.n1.17204
Traffic circles and timing of traffic lights for cars flow. Discrete Contin, Dyn. Syst. Ser. B, vol.5, pp.599-630, 2005. ,
Traffic Flow on a Road Network, SIAM Journal on Mathematical Analysis, vol.36, issue.6, pp.1862-1886, 2005. ,
DOI : 10.1137/S0036141004402683
A 2 ?? 2 hyperbolic traffic flow model, Traffic flow?modeling and simulation, pp.683-688, 2002. ,
DOI : 10.1016/S0895-7177(02)80029-2
Hyperbolic Phase Transitions in Traffic Flow, SIAM Journal on Applied Mathematics, vol.63, issue.2, pp.708-721, 2002. ,
DOI : 10.1137/S0036139901393184
Continuous Dependence in Conservation Laws with Phase Transitions, SIAM Journal on Mathematical Analysis, vol.31, issue.1, pp.31-34, 1999. ,
DOI : 10.1137/S0036141097331871
Sonic Hyperbolic Phase Transitions and Chapman-Jouguet Detonations, Journal of Differential Equations, vol.184, issue.2, pp.321-347, 2002. ,
DOI : 10.1006/jdeq.2001.4131
URL : http://doi.org/10.1006/jdeq.2001.4131
ON A CLASS OF HYPERBOLIC BALANCE LAWS, Journal of Hyperbolic Differential Equations, vol.01, issue.04, pp.725-745, 2004. ,
DOI : 10.1142/S0219891604000317
ROAD NETWORKS WITH PHASE TRANSITIONS, Journal of Hyperbolic Differential Equations, vol.07, issue.01 ,
DOI : 10.1142/S0219891610002025
URL : https://hal.archives-ouvertes.fr/inria-00534876
Global well posedness of traffic flow models with phase transitions, Nonlinear Analysis: Theory, Methods & Applications, vol.66, issue.11, pp.66-2413, 2007. ,
DOI : 10.1016/j.na.2006.03.029
Minimising stop and go waves to optimise traffic flow, Applied Mathematics Letters, vol.17, issue.6, pp.697-701, 2004. ,
DOI : 10.1016/S0893-9659(04)90107-3
-System, Communications in Partial Differential Equations, vol.28, issue.7-8, pp.1371-1390, 2003. ,
DOI : 10.1007/BF00375063
URL : https://hal.archives-ouvertes.fr/hal-00107943
Packet flow on telecommunication networks, SIAM J. Math. Anal, vol.38, pp.717-740, 2006. ,
A statistical analysis of speed density hypotheses, Highway Research Record, vol.154, pp.53-87, 1967. ,
Conservation laws with discontinuous flux, Networks and Heterogeneous Media, vol.2, issue.1, pp.159-179, 2007. ,
DOI : 10.3934/nhm.2007.2.159
Source-Destination Flow on a Road Network, Communications in Mathematical Sciences, vol.3, issue.3, pp.261-283, 2005. ,
DOI : 10.4310/CMS.2005.v3.n3.a1
Traffic Flow on a Road Network Using the Aw???Rascle Model, Communications in Partial Differential Equations, vol.4, issue.2, pp.31-243, 2006. ,
DOI : 10.1080/03605300500358053
Traffic flow on networks, AIMS Series on Applied Mathematics. American Institute of Mathematical Sciences (AIMS), vol.1, 2006. ,
The Aw???Rascle vehicular traffic flow model with phase transitions, Mathematical and Computer Modelling, vol.44, issue.3-4, pp.287-303, 2006. ,
DOI : 10.1016/j.mcm.2006.01.016
Modeling a bottleneck by the Aw-Rascle model with phase transitions Traffic and Granular Flow '05, 2007. ,
Initial Boundary Value Problems for Hyperbolic Systems of Conservation Laws, 1982. ,
Congestion on multilane highways, SIAM J. Appl. Math, vol.63, pp.818-833, 2003. ,
Improved fluid-dynamic model for vehicular traffic, Physical Review E, vol.51, issue.4, pp.3164-3169, 1995. ,
DOI : 10.1103/PhysRevE.51.3164
Traffic and related self-driven many-particle systems, Reviews of Modern Physics, vol.73, issue.4, pp.1067-1141, 2001. ,
DOI : 10.1103/RevModPhys.73.1067
Self-organized network flows, Networks and Heterogeneous Media, vol.2, issue.2, pp.193-210, 2007. ,
DOI : 10.3934/nhm.2007.2.193
Optimization criteria for modelling intersections of vehicular traffic flow, Networks and Heterogeneous Media, vol.1, issue.2, pp.275-294, 2006. ,
DOI : 10.3934/nhm.2006.1.275
A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads, SIAM Journal on Mathematical Analysis, vol.26, issue.4, pp.999-1017, 1995. ,
DOI : 10.1137/S0036141093243289
The physics of traffic, 2004. ,
Phase transitions in traffic flow Traffic and Granular Flow '99, pp.253-283, 2000. ,
Mathematical models for vehicular traffic, Surveys Math. Ind, vol.6, pp.215-239, 1996. ,
Nonclassical Riemann solvers and kinetic relations I. A nonconvex hyperbolic model of phase transitions, Zeitschrift f??r angewandte Mathematik und Physik, vol.52, issue.4, pp.597-619, 2001. ,
DOI : 10.1007/PL00001563
Non-classical Riemann solvers and kinetic relations. II. An hyperbolic???elliptic model of phase-transition dynamics, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.132, issue.01, pp.132-181, 2002. ,
DOI : 10.1017/S030821050000158X
On Kinematic Waves. II. A Theory of Traffic Flow on Long Crowded Roads, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.229, issue.1178, pp.229-317, 1995. ,
DOI : 10.1098/rspa.1955.0089
Models of freeway traffic and control, Simulation Council Proc, vol.28, pp.51-61, 1971. ,
Shock Waves on the Highway, Operations Research, vol.4, issue.1, pp.42-51, 1956. ,
DOI : 10.1287/opre.4.1.42
On the Fundamental Diagram of Traffic Flow, SIAM Journal on Applied Mathematics, vol.66, issue.4, pp.1150-1162, 2006. ,
DOI : 10.1137/050627113
A non-equilibrium traffic model devoid of gas-like behavior, Transportation Research Part B: Methodological, vol.36, issue.3, pp.275-290, 2002. ,
DOI : 10.1016/S0191-2615(00)00050-3