Journal article
Global well-posedness and asymptotic behavior of BV solutions to a system of balance laws arising in traffic flow
Networks and heterogeneous media, Vol.18(2), pp.581-600
01/01/2023
DOI: 10.3934/nhm.2023025
Abstract
We establish global well-posedness and asymptotic behavior of BV solutions to a system of balance laws modeling traffic flow with nonconcave fundamental diagram. We prove the results by finding a convex entropy-entropy flux pair and verifying the Kawashima condition, the subcharacteristic condition, and the partial dissipative inequality in the framework of Dafermos. This problem is of specific interest since nonconcave fundamental diagrams arise naturally in traffic flow.
Details
- Title: Subtitle
- Global well-posedness and asymptotic behavior of BV solutions to a system of balance laws arising in traffic flow
- Creators
- Tong Li - Univ Iowa, Dept Math, Iowa City, IA 52242 USANitesh Mathur - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Networks and heterogeneous media, Vol.18(2), pp.581-600
- DOI
- 10.3934/nhm.2023025
- ISSN
- 1556-1801
- eISSN
- 1556-181X
- Publisher
- Amer Inst Mathematical Sciences-Aims
- Number of pages
- 20
- Language
- English
- Date published
- 01/01/2023
- Academic Unit
- Mathematics
- Record Identifier
- 9984375452402771
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