Paper Info
Title
Existence And Computation Of Solutions Of A Model Of Traffic Involving Hysteresis
Abstract
The meaning of weak solutions of a nonconservative hyperbolic system with discontinuous coefficients modeling traffic flows involving hysteresis is defined. An upwinding approximation scheme for the model is shown to he total variation diminishing. Vehicles' speeds and drivers' hysteresis states satisfy maximum and minimum principles. The limit of a convergent subsequence generated by the approximation scheme is shown to be a weak solution of the model if it is piecewise C-1, establishing the existence of such solutions.
Year
DOI
Venue
2020
10.1137/19M1269567
SIAM JOURNAL ON APPLIED MATHEMATICS
Keywords
DocType
Volume
traffic flow, stop-and-go, phantom jam, hysteresis, weak solutions. nonconservative hyperbolic system, Borel measure, total variation diminishing, two phase flow, porous media
Journal
80
Issue
ISSN
Citations 
6
0036-1399
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Haitao Fan191.92
Chi-Wang Shu24053540.35