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math.AP2012★ 2 cited
A Riemann solver for a system of hyperbolic conservation laws at a general road junction
Wen-Long Jin
The kinematic wave model of traffic flow on a road network is a system of hyperbolic conservation laws, for which the Riemann solver is of physical, analytical, and numerical impor…
math.AP2010
Supply-demand diagrams and a new framework for analyzing the inhomogeneous Lighthill-Whitham-Richards model
Wen-Long Jin, Liang Chen, Elbridge Gerry Puckett
Traditionally, the Lighthill-Whitham-Richards (LWR) models for homogeneous and inhomogeneous roads have been analyzed in flux-density space with the fundamental diagram of the flux…