Overview
- Contains very new results that are not yet presented in other similar books
- Offers an overview of applications in many different research fields
- Elucidates intimate relationship between nonequilibrium thermodynamcis and the symmetric hyperbolic systems with relaxation
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Table of contents (34 chapters)
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Front Matter
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Mathematical Structure and Waves
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Front Matter
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Classical and Relativistic Rational Extended Thermodynamics of Rarefied Monatomic Gas
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Front Matter
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Rational Extended Thermodynamics of Rarefied Polyatomic Gas
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Front Matter
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Nonlinear Theories Far from Equilibrium
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Front Matter
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Keywords
About this book
Rational extended thermodynamics (RET) is the theory that is applicable to nonequilibrium phenomena out of local equilibrium. It is expressed by the hyperbolic system of field equations with local constitutive equations and is strictly related to the kinetic theory with the closure method of the hierarchies of moment equations. The book intends to present, in a systematic way, new results obtained by RET of gases in both classical and relativistic cases, and it is a natural continuation of the book "Rational Extended Thermodynamics beyond the Monatomic Gas" by the same authors published in 2015. However, this book addresses much wider topics than those of the previous book. Its contents are as follows: RET of rarefied monatomic gases and of polyatomic gases; a simplified RET theory with 6 fields being valid far from equilibrium; RET where both molecular rotational and vibrational modes exist; mixture of gases with multi-temperature. The theory is applied to several typical topics (sound waves, shock waves, etc.) and is compared with experimental data. From a mathematical point of view, RET can be regarded as a theory of hyperbolic symmetric systems, of which it is possible to conduct a qualitative analysis. The book represents a valuable resource for applied mathematicians, physicists, and engineers, offering powerful models for many potential applications such as reentering satellites into the atmosphere, semiconductors, and nanoscale phenomena.
Authors and Affiliations
About the authors
Masaru Sugiyama is an Emeritus Professor of Nagoya Institute of Technology and a foreign member of Accademia delle Scienze dell'Istituto di Bologna. He has been working in continuum mechanics, and also in nonequilibrium statistical mechanics and thermodynamics. In particular, in recent years, he has obtained important results in rational extended thermodynamics of real gases. He is the coauthor of the book Rational Extended Thermodynamics beyond the Monatomic Gas (Springer 2015) with Tommaso Ruggeri
Bibliographic Information
Book Title: Classical and Relativistic Rational Extended Thermodynamics of Gases
Authors: Tommaso Ruggeri, Masaru Sugiyama
DOI: https://doi.org/10.1007/978-3-030-59144-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-59143-4Published: 23 April 2021
Softcover ISBN: 978-3-030-59146-5Published: 23 April 2022
eBook ISBN: 978-3-030-59144-1Published: 22 April 2021
Edition Number: 1
Number of Pages: XXXII, 669
Number of Illustrations: 30 b/w illustrations, 60 illustrations in colour
Topics: Applications of Mathematics, Thermodynamics, Classical and Continuum Physics, Analysis, Materials Engineering