Differential constraints and exact solutions for the ET6 model

被引：14
作者：
Curro, Carmela [1 ]
Manganaro, Natale [1 ]
机构：
[1] Univ Messina, MIFT, Messina, Italy
来源：
RICERCHE DI MATEMATICA | 2019年 / 68卷 / 01期
关键词：
Differential constraints; Exact solutions; Rational extended thermodynamics; RIEMANN PROBLEMS; SYSTEMS;
D O I：
10.1007/s11587-018-0396-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a first order quasilinear hyperbolic system describing a polyatomic gas far from the equilibrium is considered. After giving a classification of all the possible first order differential constraints admitted by the governing equations under interest, classes of exact solutions parameterized in terms of arbitrary functions are determined. That can help in solving initial or boundary value problems. Finally the consistency of the exact solutions characterized during the reduction procedure with the entropy principle is studied.
引用
收藏
页码：179 / 193
页数：15
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