We prove the well-posedness of a system of balance laws inspired by [H. Holden and N. H. Risebro, SIAM J. Math. Anal., 51 (2019), pp. 3694-3713], describing macroscopically the traffic flow on a multilane road network. Motivated by real applications, we allow us for the the presence of space discontinuities both in the speed law and in the number of lanes. This allows us to describe a number of realistic situations. Existence of solutions follows from compactness results on a sequence of Godunov's approximations, while L\bfone -stability is obtained by the doubling of variables technique. Some numerical simulations illustrate the behavior of solutions in sample cases.

A multilane macroscopic traffic flow model for simple networks / Goatin, P; Rossi, E. - In: SIAM JOURNAL ON APPLIED MATHEMATICS. - ISSN 1095-712X. - 79:5(2019), pp. 1967-1989. [10.1137/19M1254386]

A multilane macroscopic traffic flow model for simple networks

Rossi, E
2019

Abstract

We prove the well-posedness of a system of balance laws inspired by [H. Holden and N. H. Risebro, SIAM J. Math. Anal., 51 (2019), pp. 3694-3713], describing macroscopically the traffic flow on a multilane road network. Motivated by real applications, we allow us for the the presence of space discontinuities both in the speed law and in the number of lanes. This allows us to describe a number of realistic situations. Existence of solutions follows from compactness results on a sequence of Godunov's approximations, while L\bfone -stability is obtained by the doubling of variables technique. Some numerical simulations illustrate the behavior of solutions in sample cases.
2019
79
5
1967
1989
A multilane macroscopic traffic flow model for simple networks / Goatin, P; Rossi, E. - In: SIAM JOURNAL ON APPLIED MATHEMATICS. - ISSN 1095-712X. - 79:5(2019), pp. 1967-1989. [10.1137/19M1254386]
Goatin, P; Rossi, E
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1226948
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