Monatomic rarefied gas as a singular limit of polyatomic gas in extended thermodynamics

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• 作者：Takashi Arima ; Shigeru Taniguchi ; Tommaso Ruggeri ; Masaru Sugiyama
• 关键词：Extended thermodynamics ; Rarefied polyatomic gas ; Rarefied monatomic gas ; Dynamic pressure ; Linear wave ; Shock wave
• 刊名：Physics Letters A
• 出版年：2013
• 出版时间：1 November, 2013
• 年：2013
• 卷：377
• 期：34-36
• 页码：2136-2140
• 全文大小：267 K

文摘

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.