A VARIATIONAL APPROACH TO THE RIEMANN PROBLEM FOR HYPERBOLIC CONSERVATION LAWS

被引：7

作者：

Dafermos, Constantine M. ^{[1
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 23卷 / 1-2期

关键词：

Hyperbolic conservation laws; Riemann Problem; Entropy; SYSTEMS;

D O I：

10.3934/dcds.2009.23.185

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Within the framework of strictly hyperbolic systems of conservation laws endowed with a convex entropy, it is shown that the admissible solution to the Riemann problem is obtained by minimizing the entropy production over all wave fans with fixed end-states.

引用

页码：185 / 195

页数：11

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