D. Amadori and W. Shen, AN INTEGRO-DIFFERENTIAL CONSERVATION LAW ARISING IN A MODEL OF GRANULAR FLOW, Journal of Hyperbolic Differential Equations, vol.09, issue.01, pp.9-105, 2012.
DOI : 10.1142/S0219891612500038

B. Andreianov, C. Donadello, U. Razafison, and M. D. Rosini, Riemann problems with non--local point constraints and capacity drop, Mathematical Biosciences and Engineering, vol.12, issue.2, pp.259-278, 2015.
DOI : 10.3934/mbe.2015.12.259

URL : https://hal.archives-ouvertes.fr/hal-00959974

B. Andreianov, C. Donadello, and M. D. Rosini, Crowd dynamics and conservation laws with nonlocal constraints and capacity drop, Mathematical Models and Methods in Applied Sciences, vol.24, issue.13, pp.2685-2722, 2014.
DOI : 10.1142/S0218202514500341

URL : https://hal.archives-ouvertes.fr/hal-00816449

B. Andreianov, P. Goatin, and N. Seguin, Finite volume schemes for locally constrained conservation laws, Numerische Mathematik, vol.73, issue.115, pp.609-645, 2010.
DOI : 10.1007/s00211-009-0286-7

URL : https://hal.archives-ouvertes.fr/hal-00387806

A. Aw and M. Rascle, 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

C. Bardos, A. Y. Leroux, and J. C. Nedelec, First order quasilinear equations with boundary conditions, Communications in Partial Differential Equations, vol.2, issue.33, pp.1017-1034, 1979.
DOI : 10.1090/S0025-5718-1977-0478651-3

N. Bellomo and C. Dogbe, On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives, SIAM Review, vol.53, issue.3, pp.409-463, 2011.
DOI : 10.1137/090746677

S. Bianchini and A. Bressan, Vanishing viscosity solutions of nonlinear hyperbolic systems, Annals of Mathematics, vol.161, issue.1, pp.223-342, 2005.
DOI : 10.4007/annals.2005.161.223

A. Bressan, Hyperbolic systems of conservation laws, Oxford Lecture Series in Mathematics and its Applications, 2000.
DOI : 10.5209/rev_REMA.1999.v12.n1.17204

A. Bressan and P. Goatin, Oleinik Type Estimates and Uniqueness for n??n Conservation Laws, Journal of Differential Equations, vol.156, issue.1, pp.26-49, 1999.
DOI : 10.1006/jdeq.1998.3606

URL : http://doi.org/10.1006/jdeq.1998.3606

A. Bressan and P. Lefloch, Uniqueness of Weak Solutions to Systems of Conservation Laws, Archive for Rational Mechanics and Analysis, vol.140, issue.4, pp.301-317, 1997.
DOI : 10.1007/s002050050068

C. Cancès and N. Seguin, Error Estimate for Godunov Approximation of Locally Constrained Conservation Laws, SIAM Journal on Numerical Analysis, vol.50, issue.6, pp.3036-3060, 2012.
DOI : 10.1137/110836912

C. Chalons, P. Goatin, and N. Seguin, General constrained conservation laws. Application to pedestrian flow modeling, Networks and Heterogeneous Media, vol.8, issue.2, pp.433-463, 2013.
DOI : 10.3934/nhm.2013.8.433

URL : https://hal.archives-ouvertes.fr/hal-00713609

G. Q. Chen and H. Frid, Divergence-Measure Fields and Hyperbolic Conservation Laws, Archive for Rational Mechanics and Analysis, vol.147, issue.2, pp.89-118, 1999.
DOI : 10.1007/s002050050146

R. M. Colombo and P. Goatin, A well posed conservation law with a variable unilateral constraint, Journal of Differential Equations, vol.234, issue.2, pp.654-675, 2007.
DOI : 10.1016/j.jde.2006.10.014

R. M. Colombo, P. Goatin, and M. D. Rosini, Conservation Laws with Unilateral Constraints in Traffic Modeling, Applied and Industrial Mathematics in Italy III, 2009.
DOI : 10.1142/9789814280303_0022

URL : https://hal.archives-ouvertes.fr/hal-00765427

R. M. Colombo, P. Goatin, and M. D. Rosini, On the modelling and management of traffic, ESAIM: Mathematical Modelling and Numerical Analysis, vol.45, issue.5, pp.853-872, 2011.
DOI : 10.1051/m2an/2010105

R. M. Colombo and M. D. Rosini, Pedestrian flows and non-classical shocks, Mathematical Methods in the Applied Sciences, vol.138, issue.13, pp.1553-1567, 2005.
DOI : 10.1002/mma.624

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.105.6594

C. M. Dafermos, Polygonal approximations of solutions of the initial value problem for a conservation law, Journal of Mathematical Analysis and Applications, vol.38, issue.1, pp.33-41, 1972.
DOI : 10.1016/0022-247X(72)90114-X

C. M. Dafermos, Hyperbolic conservation laws in continuum physics, Grundlehren der Mathematischen Wissenschaften, vol.325, 2000.

D. Lellis and C. , Notes on Hyperbolic Systems of Conservation Laws and Transport Equations, Handb. Differ. Equ, vol.III, pp.277-382, 2007.
DOI : 10.1016/S1874-5717(07)80007-7

M. Delle-monache and P. Goatin, A front tracking method for a strongly coupled pde-ode system with moving density constraints in traffic flow, Discrete and Continuous Dynamical Systems -Series S, pp.435-447, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00930031

M. L. Delle-monache and P. Goatin, Scalar conservation laws with moving constraints arising in traffic flow modeling: An existence result, Journal of Differential Equations, vol.257, issue.11, pp.4015-4029, 2014.
DOI : 10.1016/j.jde.2014.07.014

URL : https://hal.archives-ouvertes.fr/hal-00976855

S. Fan and B. Seibold, Data-Fitted First-Order Traffic Models and Their Second-Order Generalizations, Transportation Research Record: Journal of the Transportation Research Board, vol.2391, pp.32-43, 2013.
DOI : 10.3141/2391-04

R. E. Ferreira and C. I. Kondo, Glimm method and wave-front tracking for the Aw-Rascle traffic flow model, Far East J. Math. Sci. (FJMS), vol.43, issue.2, pp.203-223, 2010.

M. Garavello and P. Goatin, The Aw???Rascle traffic model with locally constrained flow, Journal of Mathematical Analysis and Applications, vol.378, issue.2, pp.634-648, 2011.
DOI : 10.1016/j.jmaa.2011.01.033

URL : https://hal.archives-ouvertes.fr/hal-00638111

M. Garavello and B. Piccoli, Traffic flow on networks, AIMS Series on Applied Mathematics. American Institute of Mathematical Sciences (AIMS), vol.1, 2006.

P. Goatin, R. M. Colombo, and M. D. Rosini, A macroscopic model for pedestrian flows in panic situations, GAKUTO International Series Mathematical Sciences and Applications, vol.32, pp.255-272, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00534888

M. Godvik and H. Hanche-olsen, EXISTENCE OF SOLUTIONS FOR THE AW???RASCLE TRAFFIC FLOW MODEL WITH VACUUM, Journal of Hyperbolic Differential Equations, vol.05, issue.01, pp.45-63, 2008.
DOI : 10.1142/S0219891608001428

C. Lattanzio, A. Maurizi, and B. Piccoli, Moving Bottlenecks in Car Traffic Flow: A PDE-ODE Coupled Model, SIAM Journal on Mathematical Analysis, vol.43, issue.1, pp.50-67, 2011.
DOI : 10.1137/090767224

P. D. Lax, Hyperbolic systems of conservation laws II, Communications on Pure and Applied Mathematics, vol.3, issue.4, pp.233-262, 2005.
DOI : 10.1002/cpa.3160100406

P. G. Lefloch, Hyperbolic systems of conservation laws, Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, 2002.
DOI : 10.1007/978-3-0348-8150-0

M. Lighthill and G. Whitham, 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.317-345, 1955.
DOI : 10.1098/rspa.1955.0089

T. P. Liu, The Riemann problem for general systems of conservation laws, Journal of Differential Equations, vol.18, issue.1, pp.218-234, 1975.
DOI : 10.1016/0022-0396(75)90091-1

Y. G. Lu, Existence of global bounded weak solutions to nonsymmetric systems of Keyfitz???Kranzer type, Journal of Functional Analysis, vol.261, issue.10, pp.2797-2815, 2011.
DOI : 10.1016/j.jfa.2011.07.008

R. Mohan and G. Ramadurai, State-of-the art of macroscopic traffic flow modelling, International Journal of Advances in Engineering Sciences and Applied Mathematics, vol.35, issue.7???8, pp.158-176, 2013.
DOI : 10.1007/s12572-013-0087-1

E. Panov, Generalized Solutions of the Cauchy Problem for a Transport Equation with Discontinuous Coefficients, II, Int. Math. Ser, vol.7, pp.23-84, 2008.
DOI : 10.1007/978-0-387-75219-8_2

B. Piccoli and A. Tosin, Vehicular traffic: A review of continuum mathematical models, Mathematics of Complexity and Dynamical Systems, pp.1748-1770, 2011.

P. I. Richards, Shock Waves on the Highway, Operations Research, vol.4, issue.1, pp.42-51, 1956.
DOI : 10.1287/opre.4.1.42

M. D. Rosini, The initial-boundary value problem and the constraint. Understanding Complex Systems pp, pp.63-91, 2013.

M. D. Rosini, Macroscopic models for vehicular flows and crowd dynamics: theory and applications. Understanding Complex Systems, 2013.

A. Pert, THE SPACES $ BV$ AND QUASILINEAR EQUATIONS, Mathematics of the USSR-Sbornik, vol.2, issue.2, pp.225-267, 1968.
DOI : 10.1070/SM1967v002n02ABEH002340

F. Van-wageningen-kessels, H. Van-lint, K. Vuik, and S. Hoogendoorn, Genealogy of traffic flow models, EURO Journal on Transportation and Logistics, vol.17, issue.1, pp.1-29, 2014.
DOI : 10.1007/s13676-014-0045-5

H. Zhang, 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