On the shock structure problem for hyperbolic system of balance laws and convex entropy

被引：80
|
作者：
Boillat, G
Ruggeri, T
机构：
[1] Univ Bologna, Dept Math, I-40123 Bologna, Italy
[2] Univ Bologna, Res Ctr Appl Math, CIRAM, I-40123 Bologna, Italy
来源：
CONTINUUM MECHANICS AND THERMODYNAMICS | 1998年 / 10卷 / 05期
关键词：
Entropy; Equilibrium State; Fluid Dynamic; Generic System; Structure Solution;
D O I：
10.1007/s001610050094
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this paper we give a brief survey of the problem of shock structure solutions in fluid dynamics. For a generic system of balance laws compatible with an entropy principle and a convex entropy we prove that C-1 solutions cannot exist when the shock velocity exceeds the maximum characteristic velocity in the equilibrium state in front of the shock. This is in agreement with a conjecture of Extended Thermodynamics.
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页码：285 / 292
页数：8
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