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Differential constraints and exact solutions for the ET6 model

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Abstract

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.

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Acknowledgements

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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Authors and Affiliations

  1. MIFT, University of Messina, Messina, Italy

    Carmela Curró & Natale Manganaro

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  1. Carmela Curró
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  2. Natale Manganaro
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Correspondence to Natale Manganaro.

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This paper is dedicated to Tommaso Ruggeri in occasion of his 70th birthday.

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Curró, C., Manganaro, N. Differential constraints and exact solutions for the ET6 model. Ricerche mat 68, 179–193 (2019). https://doi.org/10.1007/s11587-018-0396-6

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  • DOI: https://doi.org/10.1007/s11587-018-0396-6

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