On non-entropy solutions of scalar conservation laws for traffic flow

被引：12

作者：

Gasser, I ^{[1
]}

机构：

[1] Univ Hamburg, Fachbereich Math, D-20146 Hamburg, Germany

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2003年 / 83卷 / 02期

关键词：

D O I：

10.1002/zamm.200310013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider traffic flow models described by a scalar conservation law. For realistic equilibrium velocity distributions we show that the entropy condition gives solutions not corresponding to the reality. An alternative condition is formulated which seems to select reasonable solutions. Two examples, the "bump" and the "cluster", are discussed.

引用

页码：137 / 143

页数：7

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