Differential constraints and exact solutions for the ET6 model
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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.
KeywordsDifferential constraints Exact solutions Rational extended thermodynamics
Mathematics Subject Classification35L40 35L45 35N10
This work was supported by Italian National Group of Mathematical Physics (GNFM-INdAM). The results contained in the present paper have been partially presented in Wascom 2017.
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