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.
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页码：185 / 195
页数：11
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