Differential constraints and exact solutions for the ET6 model
| Autor: | Carmela Currò, N. Manganaro |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Entropy principle
Applied Mathematics General Mathematics Numerical analysis 010102 general mathematics Parameterized complexity First order 01 natural sciences Hyperbolic systems 010305 fluids & plasmas Differential constraints exact solutions rational extended thermodynamics Consistency (statistics) 0103 physical sciences Applied mathematics Boundary value problem 0101 mathematics Differential (mathematics) Mathematics |
| Zdroj: | Ricerche di Matematica. 68:179-193 |
| ISSN: | 1827-3491 0035-5038 |
| DOI: | 10.1007/s11587-018-0396-6 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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