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In this paper we study the fundamental mathematical aspects of a class of multi-population partial differential equations. We thoroughly discuss the hyperbolicity of the system. The admissible waves of the Riemann problem are also investigated in detail. We present some interesting results and interpret their physical meanings. Numerical examples are also(More)
We analytically investigate a wide cluster solution and show that it is not admitted in some of the traffic flow models in the literature. For those traffic flow models that admit the wide cluster solution, the relationship between two important control parameters and the critical densities that divide an equilibrium solution into stable and unstable(More)
This paper develops a number of Riemann solvers for a conserved higher-order traffic flow model, which are derived firstly by expressing its exact Riemann solver through that of the LWR model, and then by replacing the exact Riemann solver of the LWR model with the corresponding approximate Riemann solvers in the expression. Being applied to design a(More)
An extended optimal velocity traffic flow model on two lanes including a bus stop and a bus deceleration area is proposed. The fundamental diagram is classified into seven distinct traffic states with the variation of density. Two new traffic states are found. One of them shows that lane-changing occurs frequently whether in front of or behind the bus, the(More)
A coupled model based on finite element method (FEM) and scaled boundary finite element method (SBFEM) for transient dynamic response of large-scale SSI systems is presented. The well-established FEM is used for modeling the near-field bounded domains. A local high-order transmitting boundary, which is based on SBFEM and the improved continued fraction(More)
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