, Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks, ESAIM: Mathematical Modelling and Numerical Analysis, vol.50, issue.5, pp.5-1269, 2016.
DOI : 10.1007/978-1-4419-7695-6_29
URL : https://hal.archives-ouvertes.fr/hal-01121965
, A second-order model for vehicular traffics with local point constraints on the flow, Mathematical Models and Methods in Applied Sciences, vol.32, issue.04, pp.4-2016
DOI : 10.1016/S0191-2615(00)00050-3
URL : https://hal.archives-ouvertes.fr/hal-01146116
, 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
, 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 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
, Hyperbolic systems of conservation laws, of Oxford Lecture Series in Mathematics and its Applications, 2000.
DOI : 10.5209/rev_REMA.1999.v12.n1.17204
, Flows on networks: recent results and perspectives, EMS Surveys in Mathematical Sciences, vol.1, issue.1, pp.1-47, 2014.
DOI : 10.4171/EMSS/2
, 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
, 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
, On the modelling and management of traffic, ESAIM: Mathematical Modelling and Numerical Analysis, vol.62, issue.5, pp.853-872, 2011.
DOI : 10.1103/PhysRevE.62.1805
, Pedestrian flows and non-classical shocks, Mathematical Methods in the Applied Sciences, vol.138, issue.13, pp.13-1553, 2005.
DOI : 10.1007/978-3-642-58535-7_2
URL : http://www.hyke.org/preprint/2005/01/015.pdf
, 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
, The Cauchy problem for the AwRascleZhang traffic model with locally constrained flow, Journal of Hyperbolic Differential Equations, vol.14, pp.3-393, 2017.
, Front tracking for hyperbolic conservation laws, of Applied Mathematical Sciences, 2002.
, First order quasilinear equations with several independent variables, Mat. Sb. (N.S.), vol.81, issue.123, pp.228-255, 1970.
, 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.2-3, 2013.
DOI : 10.1016/j.trb.2011.10.011
, Vehicular traffic: a review of continuum mathematical models, Mathematics of complexity and dynamical systems, pp.1748-1770
, Macroscopic models for vehicular flows and crowd dynamics: theory and applications . Understanding Complex Systems
DOI : 10.1007/978-3-319-00155-5
URL : http://cds.cern.ch/record/1537770/files/978-3-319-00155-5_BookTOC.pdf
, Genealogy of traffic flow models, EURO Journal on Transportation and Logistics, vol.17, issue.1, pp.445-473, 2015.
DOI : 10.1017/S095679250500642X
, 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