The Cauchy problem for the Aw-Rascle-Zhang traffic model with locally constrained flow
نویسندگان
چکیده
We study the Cauchy problem for the Aw-Rascle-Zhang model for traffic flow with a flux constraint at x = 0. More precisely we consider the Riemann solver, conserving the number of cars at x = 0 but not the generalized momentum, introduced in [9] for the problem with flux constrained. For such a Riemann solver, we prove existence of a solution for the Cauchy problem. The proof is based on the wave-front tracking method. For the other Riemann solver in [9], existence of solution to the Cauchy problem was proved in [1].
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