The Aw–Rascle traffic model with locally constrained flow

• Published in: Journal of mathematical analysis and applications Vol. 378; no. 2; pp. 634 - 648
• Main Authors: Garavello, M., Goatin, P.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Inc 15.06.2011; Elsevier
• Subjects: Analysis of PDEs; Aw–Rascle model; Exact sciences and technology; Finite volume numerical scheme; Mathematical analysis; Mathematics; Partial differential equations; Riemann problem; Sciences and techniques of general use; Traffic models; Unilateral constraint; Aw–Rascle model; Traffic models; Riemann problem; Unilateral constraint; Finite volume numerical scheme; Invariant; Traffic flow; Mathematical analysis; Numerical solution; Aw-Rascle model; Finite volume method; Numerical method

We consider solutions of the Aw–Rascle model for traffic flow fulfilling a constraint on the flux at x = 0 . Two different kinds of solutions are proposed: at x = 0 the first one conserves both the number of vehicles and the generalized momentum, while the second one conserves only the number of car...