ON THE INITIAL VALUE PROBLEM FOR A CLASS OF DISCRETE VELOCITY MODELS

被引：0

作者：

Bellandi, Davide ^{[1
]}

机构：

[1] Univ Ferrara, Dept Math & Comp Sci, Via Machiavelli 35, I-44121 Ferrara, Italy

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2017年 / 14卷 / 01期

关键词：

Complex systems; vehicular traffic; kinetic models; discrete velocity; global well posedness; VEHICULAR TRAFFIC FLOW; MATHEMATICAL-THEORY; KINETIC-THEORY; SYSTEMS;

D O I：

10.3934/mbe.2017003

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：31 / 43

页数：13

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