C. Bardos, A. Y. Le Roux, and J. C. NéDèlec, First-order quasilinear equations with boundary conditions. Commun. Partial Differ. Equations 4 (1979), 1017–1034.
J. M. Borwein, Continuity and differentiability properties of convex operators. Proc. London Math. Soc. 44 (1982), No. 3, 420–444.
G. M. Coclite, M. Garavello, and B. Piccoli, Traffic flows on road networks. SIAM J. Math. Anal. 36 (2005), 1862–1886.
G. Dal Maso, An introduction to Γ-convergence, Birkhäuser, Boston (1993).
L. C. Evans and R. F. Gariepy, Measure theory and fine properties of functions. CRC Press, Boca Raton (1992).
M. Garavello and B. Piccoli, Traffic flow on networks. AMS Ser. Appl. Math. 1 (2006).
E. Guisti, Minimal surfaces and functions of bounded variation. Birkhäuser, Boston (1984).
E. Godlewski and P.-A. Raviart, Numerical approximation of hyperbolic systems of concervation laws. Appl. Math. Sci. 118, Springer-Verlag, New York (1996).
M. Gugat, M. Herty, A. Klar, and G. Leugering, Optimal control for traffic flow networks. J. Optim. Theory Appl. 126 (2005), 589–616.
H. Holden and N. H. Risebro, A mathematical model of traffic flow on a network of unidirectional roads. SIAM J. Math. Anal. 4 (1995), 999–1017.
J. Jahn, Vector optimization. Theory, applications, and extensions. Springer-Verlag, Berlin (2004).
S. Kruzhkov, First-order quasilinear equations in several independent variables. Math. USSR Sb. 10 (1970), 217–243.
J. Lebacque and M. Khoshyaran, First-order macroscopic traffic flow models for network in the context of dynamic assignment. In: Transportation planning-state of the art (M. Patriksson and K. A. P. M. Labbe, eds.) (2002).
M. J. Lighthill and J. B. Whitham, On kinematic waves. Proc. Royal Soc. Edinburg 229A (1983), 281–345.
A. L. Peressini, Ordered topological vector spaces. Harpet & Row, New York (1967).
P. I. Richards, Shock waves on the highway. Operations Res. 4 (1956), 42–51.