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GLOBAL WEAK SOLUTIONS TO THE CAUCHY PROBLEM FOR A TWO-PHASE MODEL AT A NODE.
- Source :
-
SIAM Journal on Mathematical Analysis . 2020, Vol. 52 Issue 2, p1567-1590. 24p. - Publication Year :
- 2020
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361410
- Volume :
- 52
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 144662583
- Full Text :
- https://doi.org/10.1137/19M1265041