Journal article
QUALITATIVE ANALYSIS OF SOME PDE MODELS OF TRAFFIC FLOW
Networks and heterogeneous media, Vol.8(3), pp.773-781
09/01/2013
DOI: 10.3934/nhm.2013.8.773
Abstract
We review our previous results on partial differential equation(PDE) models of traffic flow. These models include the first order PDE models, a nonlocal PDE traffic flow model with Arrhenius look-ahead dynamics, and the second order PDE models, a discrete model which captures the essential features of traffic jams and chaotic behavior. We study the well-posedness of such PDE problems, finite time blow-up, front propagation, pattern formation and asymptotic behavior of solutions including the stability of the traveling fronts. Traveling wave solutions are wave front solutions propagating with a constant speed and propagating against traffic.
Details
- Title: Subtitle
- QUALITATIVE ANALYSIS OF SOME PDE MODELS OF TRAFFIC FLOW
- Creators
- Tong Li - Shanghai Jiao Tong University
- Resource Type
- Journal article
- Publication Details
- Networks and heterogeneous media, Vol.8(3), pp.773-781
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- DOI
- 10.3934/nhm.2013.8.773
- ISSN
- 1556-1801
- eISSN
- 1556-181X
- Number of pages
- 9
- Language
- English
- Date published
- 09/01/2013
- Academic Unit
- Mathematics
- Record Identifier
- 9984240769402771
Metrics
41 Record Views