On a closure of mass conservation equation and stability analysis in the mathematical theory of vehicular traffic flow

被引：12

作者：

Coscia, V ^{[1
]}

机构：

[1] Univ Ferrara, Dipartimento Matemat, I-44100 Ferrara, Italy

来源：

COMPTES RENDUS MECANIQUE | 2004年 / 332卷 / 08期

关键词：

continuum mechanics; traffic how; continuum models; nonlinear sciences;

D O I：

10.1016/j.crme.2004.03.016

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This Note deal; with the development of mathematical methods for the closure of the mass conservation equation for macroscopic hydrodynamical models of traffic flow on roads. The closure is obtained by a phenomenological model, relating the local mean velocity to local density earlier in time. An evolution equation is obtained for the flux and a stability analysis is performed; this qualitatively describes some features of congested flow. To cite this article: V. Coscia, C. R. Mecanique 332 (2004). (C) 2004 Academic des sciences. Published by Elsevier SAS. All rights reserved.

引用

页码：585 / 590

页数：6

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