This paper considers a system of two conservation laws with a Lipschitz continuous flow and deals with solutions to the Cauchy problems at a node. The system considered is the two-phase traffic model, proposed in [R. M. Colombo, F. Marcellini, and M. Rascle, SIAM J. Appl. Math., 70 (2010), pp. 2652-2666]. We are able to provide global in time existence of solutions at a node with a single incoming road and m outgoing roads. Neither assumptions on the smallness of the total variation of initial data are required, as usual in the case of systems, nor on the range of the initial data.
Garavello, M., & Marcellini, F. (2020). Global weak solutions to the cauchy problem for a two-phase model at a node. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 52(2), 1567-1590.
Citazione: | Garavello, M., & Marcellini, F. (2020). Global weak solutions to the cauchy problem for a two-phase model at a node. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 52(2), 1567-1590. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | No | |
Titolo: | Global weak solutions to the cauchy problem for a two-phase model at a node | |
Autori: | Garavello, M; Marcellini, F | |
Autori: | ||
Data di pubblicazione: | 2020 | |
Lingua: | English | |
Rivista: | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1137/19M1265041 | |
Appare nelle tipologie: | 01 - Articolo su rivista |