On the initial value problem for a class of discrete velocity models

In this paper we investigate the initial value problem for a class of hyperbolic systems relating the mathematical modeling of a class of complex phenomena, with emphasis on vehicular traffic flow. Existence and uniqueness for large times of solutions, a basic requisite both for models building and...

Full description

Saved in:
Bibliographic Details
Published inMathematical biosciences and engineering : MBE Vol. 14; no. 1; pp. 31 - 43
Main Author Bellandi, Davide
Format Journal Article
LanguageEnglish
Published United States AIMS Press 01.02.2017
Subjects
complex systems
discrete velocity
global well posedness
kinetic models
Models, Theoretical
Motor Vehicles
vehicular traffic
Online AccessGet full text

Cover

More Information
Summary:In this paper we investigate the initial value problem for a class of hyperbolic systems relating the mathematical modeling of a class of complex phenomena, with emphasis on vehicular traffic flow. Existence and uniqueness for large times of solutions, a basic requisite both for models building and for their numerical implementation, are obtained under weak hypotheses on the terms modeling the interaction among agents. The results are then compared with the existing literature on the subject.
ISSN:1551-0018
DOI:10.3934/mbe.2017003