The zero relaxation limit for the hydrodynamic Whitham traffic flow model

被引：36

作者：

Lattanzio, C ^{[1
]}

Marcati, P ^{[1
]}

机构：

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67010 Laquila, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1997年 / 141卷 / 01期

关键词：

D O I：

10.1006/jdeq.1997.3311

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the relaxation problem for a hyperbolic system of balance laws which models the traffic flow. In particular we show, as the relaxation parameter tends to zero, away from the vacuum, the strong convergence to the equilibrium solution, which satisfies Kruzkov-type entropy conditions. A uniqueness result is provided. (C) 1997 Academic Press.

引用

页码：150 / 178

页数：29

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