Abstract
Recently, Ruggeri et al. (The Riemann problem of relativistic Euler system with Synge energy, arXiv:2001.04128v1 [math-ph], 2020) studied the Riemann problem of the relativistic Euler system for rarefied monatomic and diatomic gases with a constitutive equation for the energy determined by Synge, which is the only realistic equation compatible with the kinetic theory. The aim of the present work is to consider the classical and ultrarelativistic limits of their results, showing that they are in agreement with those already present in literature.
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Acknowledgements
The work of T. Ruggeri was supported by GNFM (INdAM), the work of Q. H. Xiao was supported by grants from Youth Innovation Promotion Association and the National Natural Science Foundation of China under Contract 11871469, the State Scholarship Fund of China and Hubei Chenguang Talented Youth Development Foundation.
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Ruggeri, T., Xiao, Q. Classical and ultrarelativistic limits of the Riemann problem for the relativistic Euler fluid with Synge energy. Ricerche mat 70, 223–233 (2021). https://doi.org/10.1007/s11587-020-00502-y
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DOI: https://doi.org/10.1007/s11587-020-00502-y