Monatomic rarefied gas as a singular limit of polyatomic gas in extended thermodynamics |
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| Authors: | Takashi Arima Shigeru Taniguchi Tommaso Ruggeri Masaru Sugiyama |
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| Affiliation: | 1. Center for Social Contribution and Collaboration, Nagoya Institute of Technology, Nagoya 466-8555, Japan;2. Graduate School of Engineering, Nagoya Institute of Technology, Nagoya 466-8555, Japan;3. Department of Mathematics, University of Bologna, Bologna, Italy;4. Research Center of Applied Mathematics (CIRAM), University of Bologna, Bologna, Italy |
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| Abstract: | We show that, in the theory of extended thermodynamics, rarefied monatomic gases can be identified as a singular limit of rarefied polyatomic gases. Under naturally conditioned initial data we prove that the system of 14 field equations for polyatomic gases in the limit has the same solutions as those of the system of 13 field equations for monatomic gases where there exists no dynamic pressure. We study two illustrative examples in the process of the limit, that is, the linear waves and the shock waves in order to grasp the asymptotic behavior of the physical quantities, in particular, of the dynamic pressure. |
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| Keywords: | Extended thermodynamics Rarefied polyatomic gas Rarefied monatomic gas Dynamic pressure Linear wave Shock wave |
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