Differential constraints and exact solutions for the ET6 model

被引：16

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

相关论文

共 33 条

[1]

[Anonymous], TRANSLATION MATH MON

[2] Extended thermodynamics of dense gases [J].

Arima, T. ;

Taniguchi, S. ;

Ruggeri, T. ;

Sugiyama, M. .

CONTINUUM MECHANICS AND THERMODYNAMICS, 2012, 24 (4-6) :271-292

[3] Non-linear extended thermodynamics of real gases with 6 fields [J].

Arima, Takashi ;

Ruggeri, Tommaso ;

Sugiyama, Masaru ;

Taniguchi, Shigeru .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2015, 72 :6-15

[4] On the six-field model of fluids based on extended thermodynamics [J].

Arima, Takashi ;

Ruggeri, Tommaso ;

Sugiyama, Masaru ;

Taniguchi, Shigeru .

MECCANICA, 2014, 49 (09) :2181-2187

[5] Extended thermodynamics of real gases with dynamic pressure: An extension of Meixner's theory [J].

Arima, Takashi ;

Taniguchi, Shigeru ;

Ruggeri, Tommaso ;

Sugiyama, Masaru .

PHYSICS LETTERS A, 2012, 376 (44) :2799-2803

[6] Double-wave solutions to quasilinear hyperbolic systems of first-order PDEs [J].

Curro, C. ;

Manganaro, N. .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (05)

[7] Nonlinear wave interaction problems in the three-dimensional case [J].

Curro, C. ;

Manganaro, N. ;

Pavlov, M. V. .

NONLINEARITY, 2017, 30 (01) :207-224

[8] Exact description of simple wave interactions in multicomponent chromatography [J].

Curro, C. ;

Fusco, D. ;

Manganaro, N. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (01)

[9] Riemann problems and exact solutions to a traffic flow model [J].

Curro, C. ;

Manganaro, N. .

JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (07)

[10] An exact description of nonlinear wave interaction processes ruled by 2 x 2 hyperbolic systems [J].

Curro, C. ;

Fusco, D. ;

Manganaro, N. .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2013, 64 (04) :1227-1248

← 1 2 3 4 →