A New Glimm Functional and Convergence Rate of Glimm Scheme for General Systems of Hyperbolic Conservation Laws

被引：7

作者：

Hua, Jiale ^{[1
]}

Jiang, Zaihong ^{[2
,3
]}

Yang, Tong ^{[1
]}

机构：

[1] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[2] Univ Sci & Technol China, Joint Adv Res Ctr Suzhou, Suzhou, Peoples R China

[3] City Univ Hong Kong, Suzhou, Peoples R China

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2010年 / 196卷 / 02期

关键词：

DETERMINISTIC VERSION;

D O I：

10.1007/s00205-009-0266-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new Glimm functional for general systems of hyperbolic conservation laws. This new functional is consistent with the classical Glimm functional for the case when each characteristic field is either genuinely nonlinear or linearly degenerate, so that it can be viewed as "optimal" in some sense. With this new functional, the consistency of the Glimm scheme is proved clearly for general systems. Moreover, the convergence rate of the Glimm scheme is shown to be the same as the one obtained in Bressan, Marson (Arch Ration Mech Anal 142(2): 155-176, 1998) for systems with each characteristic field being genuinely nonlinear or linearly degenerate.

引用

页码：433 / 454

页数：22

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