B. Andreianov, P. Goatin, and N. Seguin, Finite volume schemes for locally constrained conservation laws, Numerische Mathematik, vol.73, issue.115
DOI : 10.1007/s00211-009-0286-7
URL : https://hal.archives-ouvertes.fr/hal-00387806

A. Bressan, Hyperbolic systems of conservation laws, Revista Matem??tica Complutense, vol.12, issue.1, 2000.
DOI : 10.5209/rev_REMA.1999.v12.n1.17204

C. Chalons, Numerical Approximation of a Macroscopic Model of Pedestrian Flows, SIAM Journal on Scientific Computing, vol.29, issue.2, pp.539-555, 2007.
DOI : 10.1137/050641211

C. Chalons and P. Goatin, Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling. Interfaces and Free Boundaries, pp.195-219, 2008.

C. Chalons and P. Goatin, Transport-equilibrium schemes for computing contact discontinuities in traffic flow modeling, Communications in Mathematical Sciences, vol.5, issue.3, pp.533-551, 2007.
DOI : 10.4310/CMS.2007.v5.n3.a2

M. Giuseppe, N. H. Coclite, and . Risebro, Conservation laws with time dependent discontinuous coefficients, SIAM J. Math. Anal, vol.36, issue.4, pp.1293-1309, 2005.

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

M. Rinaldo, Colombo and Graziano Guerra On General Balance Laws with Boundary, 2008.

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

R. M. Colombo and M. D. Rosini, Existence of nonclassical solutions in a Pedestrian flow model, Nonlinear Analysis: Real World Applications, vol.10, issue.5
DOI : 10.1016/j.nonrwa.2008.08.002

C. M. Dafermos, Hyperbolic conservation laws in continuum physics, 2000.

F. Dubois and P. Lefloch, Boundary conditions for nonlinear hyperbolic systems of conservation laws, Journal of Differential Equations, vol.71, issue.1, pp.93-122, 1988.
DOI : 10.1016/0022-0396(88)90040-X

D. Helbing, A fluid-dynamic model for the movement of pedestrians, Complex Systems, vol.6, issue.5, pp.391-415, 1992.

D. Helbing, Ilì es Farkas and Tamàs Vicsek Simulating dynamical features of escape panic, Nature, vol.407, 2000.

D. Helbing, A. Johansson, and . Habib-zein-al-abideen, Dynamics of crowd disasters: An empirical study, Physical Review E, vol.75, issue.4, 2007.
DOI : 10.1103/PhysRevE.75.046109

S. Hoogendoorn and P. H. Bovy, Pedestrian route-choice and activity scheduling theory and mode, Transp. Res. B, 2002.

S. Hoogendoorn and P. H. Bovy, Simulation of pedestrian flows by optimal control and differential games, Optimal Control Applications and Methods, vol.29, issue.3, pp.153-172, 2003.
DOI : 10.1002/oca.727

R. L. Hughes, A continuum theory for the flow of pedestrians, Transportation Research Part B: Methodological, vol.36, issue.6, pp.507-535, 2002.
DOI : 10.1016/S0191-2615(01)00015-7

N. Stanislav and . Kru?hkov, First order quasilinear equations with several independent variables, Mat. Sb. (N.S.), vol.81, issue.123, pp.228-255, 1970.

P. G. Lefloch, Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves, Applied Mechanics Reviews, vol.56, issue.4, 2002.
DOI : 10.1115/1.1579455

J. Michael, G. B. Lighthill, and . Whitham, On kinematic waves. II. A theory of traffic flow on long crowded roads, Proc. Roy. Soc. London. Ser. A, vol.229, pp.317-345, 1955.

I. Paul and . Richards, Shock waves on the highway, Operations Res, vol.4, pp.42-51, 1956.

D. Massimiliano and . Rosini, Nonclassical interactions portrait in a pedestrian flow model, J. Differential Equations, vol.246, pp.408-427, 2009.

B. Temple, Global solution of the cauchy problem for a class of 2 ?? 2 nonstrictly hyperbolic conservation laws, Advances in Applied Mathematics, vol.3, issue.3, pp.335-375, 1982.
DOI : 10.1016/S0196-8858(82)80010-9