Journal article
Global existence and zero relaxation limit for a hyperbolic system arising in traffic flow with large data
Journal of Differential Equations, Vol.467, 114344
06/2026
DOI: 10.1016/j.jde.2026.114344
Abstract
This paper is concerned with the existence of global weak solutions and their zero relaxation limit for a non-strictly hyperbolic system arising in traffic flow with large initial data. We use the vanishing viscosity method and the compensated compactness framework to prove the existence of admissible weak solutions, and to study their behavior as the relaxation parameter tends to zero. By constructing convex dissipative entropies that display special compatibility conditions with the equilibrium equation of the system, we establish the existence and uniqueness of the zero relaxation limit solution for large initial data.
Details
- Title: Subtitle
- Global existence and zero relaxation limit for a hyperbolic system arising in traffic flow with large data
- Creators
- José David Beltrán - University of IowaTong Li - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of Differential Equations, Vol.467, 114344
- DOI
- 10.1016/j.jde.2026.114344
- ISSN
- 0022-0396
- eISSN
- 1090-2732
- Publisher
- Elsevier
- Grant note
- Erwin and Peggy Kleinfeld ScholarshipGraduate College Post-Comprehensive Research Scholarship at the University of Iowa
The work of the first author has been partially supported by the Erwin and Peggy Kleinfeld Scholarship and the Graduate College Post-Comprehensive Research Scholarship at the University of Iowa.
- Language
- English
- Electronic publication date
- 03/26/2026
- Date published
- 06/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985149520202771
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