NDLI: Molecular extended thermodynamics: comparison between rarefied polyatomic and monatomic gas closures

Content Provider	Springer Nature Link
Author	Arima, Takashi Ruggeri, Tommaso Sugiyama, Masaru Taniguchi, Shigeru
Copyright Year	2016
Abstract	Molecular extended thermodynamics is justified at the mesoscopic level by the moment equations associated with the Boltzmann equation. For polyatomic gases we have a binary hierarchy of moments in contrast with the usual single hierarchy for monatomic gases. In this paper, taking one-dimensional space variables for simplicity, we review the closure of the system of the moment equations for polyatomic gases with the use of the maximum entropy principle, which is equivalent to the entropy principle. Then we consider the singular limit where the degrees of freedom of a molecule approach 3, and we prove that, by imposing appropriate initial conditions, the solutions for polyatomic gases converge to the ones for monatomic gases. As examples of the singular limit, the asymptotic behaviors of linear waves and light scattering based on the linearized system of field equations are briefly presented.
Starting Page	1
Ending Page	13
Page Count	13
File Format	PDF
ISSN	00355038
Journal	Ricerche di Matematica
Volume Number	66
Issue Number	1
e-ISSN	18273491
Language	English
Publisher	Springer Milan
Publisher Date	2016-04-22
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Extended Thermodynamics Rarefied Polyatomic Gases Rarefied Monatomic Gases Singular Limit Kinetic Theory and Moments Irreversible thermodynamics, including Onsager-Machlup theory Gas dynamics, general Kinetic theory of gases Mathematics Algebra Analysis Geometry Numerical Analysis Probability Theory and Stochastic Processes
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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