Rational extended thermodynamics beyond the monatomic gas:
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2015]
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| Schlagworte: | |
| Online-Zugang: | DE-634 DE-861 DE-91 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (XXIV, 376 Seiten, 52 illus., 27 illus. in color) |
| ISBN: | 9783319133416 |
| DOI: | 10.1007/978-3-319-13341-6 |
Internformat
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Datensatz im Suchindex
| _version_ | 1825728971935842304 |
|---|---|
| adam_text |
RATIONAL EXTENDED THERMODYNAMICS BEYOND THE MONATOMIC GAS
/ RUGGERI, TOMMASO
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 INTRODUCTION
2 MATHEMATICAL STRUCTURE
3 WAVES IN HYPERBOLIC SYSTEMS
4 SURVEY OF ET OF RAREFIED MONATOMIC GASES
5 ET THEORY OF POLYATOMIC RAREFIED GAS AND DENSE GAS
6 MAXIMUM ENTROPY PRINCIPLE FOR RAREFIED POLYATOMIC GASES
7 STATIONARY HEAT CONDUCTION IN A POLYATOMIC GAS AT REST
8 LINEAR WAVE IN POLYATOMIC GAS
9 SHOCK WAVE
10 FLUCTUATING HYDRODYNAMICS
11 LIGHT SCATTERING IN POLYATOMIC GAS
12 ET6 THEORY OF POLYATOMIC RAREFIED GAS AND DENSE GAS
13 NON LINEAR ET6
14 MOLECULAR ET THEORY OF POLYATOMIC RAREFIED GAS
15 ET OF DENSE GAS WITH 6 MOMENTS
16 MIXTURE OF GASES
17 HYPERBOLIC PARABOLIC LIMIT, MAX WELLIAN ITERATION AND OBJECTIVITY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
RATIONAL EXTENDED THERMODYNAMICS BEYOND THE MONATOMIC GAS
/ RUGGERI, TOMMASO
: 2015
ABSTRACT / INHALTSTEXT
RATIONAL EXTENDED THERMODYNAMICS (RET) IS A THERMODYNAMIC THEORY THAT IS
APPLICABLE TO NON-EQUILIBRIUM PHENOMENA. IT IS DESCRIBED BY DIFFERENTIAL
HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH LOCAL CONSTITUTIVE EQUATIONS. AS
RET HAS BEEN STRICTLY RELATED TO THE KINETIC THEORY THROUGH THE CLOSURE
METHOD OF MOMENT HIERARCHY ASSOCIATED TO THE BOLTZMANN EQUATION, THE
APPLICABILITY RANGE OF THE THEORY HAS BEEN RESTRICTED WITHIN RAREFIED
MONATOMIC GASES. THIS BOOK IS DEDICATED TO THE RECENT DEVELOPMENTS IN
RET WITH THE AIM TO EXPLORE POLYATOMIC GAS, DENSE GAS, AND MIXTURE OF
GASES IN NON-EQUILIBRIUM. IN PARTICULAR WE PRESENT THE THEORY OF DENSE
GASES WITH 14 FIELDS, WHICH REDUCES TO THE NAVIER-STOKES FOURIER
CLASSICAL THEORY IN THE PARABOLIC LIMIT. MOLECULAR RET WITH AN ARBITRARY
NUMBER OF FIELD-VARIABLES FOR POLYATOMIC GASES IS ALSO DISCUSSED AND THE
THEORY IS PROVED TO BE PERFECTLY COMPATIBLE WITH THE KINETIC THEORY IN
WHICH THE DISTRIBUTION FUNCTION DEPENDS ON AN EXTRA VARIABLE THAT TAKES
INTO ACCOUNT A MOLECULE’S INTERNAL DEGREES OF FREEDOM. RECENT RESULTS
ON MIXTURES OF GASES WITH MULTI-TEMPERATURE ARE PRESENTED TOGETHER WITH
A NATURAL DEFINITION OF THE AVERAGE TEMPERATURE. THE QUALITATIVE
ANALYSIS AND, IN PARTICULAR, THE EXISTENCE OF THE GLOBAL SMOOTH SOLUTION
AND THE CONVERGENCE TO EQUILIBRIUM ARE ALSO STUDIED BY TAKING INTO
ACCOUNT THE FACT THAT THE DIFFERENTIAL SYSTEMS ARE SYMMETRIC HYPERBOLIC.
APPLICATIONS TO SHOCK AND SOUND WAVES ARE ANALYZED TOGETHER WITH LIGHT
SCATTERING AND HEAT CONDUCTION, AND THE RESULTS ARE COMPARED WITH
EXPERIMENTAL DATA. THE BOOK REPRESENTS A VALUABLE RESOURCE FOR APPLIED
MATHEMATICIANS, PHYSICISTS AND ENGINEERS, OFFERING POWERFUL MODELS FOR
POTENTIAL APPLICATIONS LIKE SATELLITES REENTERING THE ATMOSPHERE,
SEMICONDUCTORS, AND NANO-SCALE PHENOMENA
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
| any_adam_object | 1 |
| author | Ruggeri, Tommaso 1947- Sugiyama, Masaru |
| author_GND | (DE-588)1084792990 (DE-588)1085647560 |
| author_facet | Ruggeri, Tommaso 1947- Sugiyama, Masaru |
| author_role | aut aut |
| author_sort | Ruggeri, Tommaso 1947- |
| author_variant | t r tr m s ms |
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| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519 |
| dewey-search | 519 |
| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-3-319-13341-6 |
| format | Electronic eBook |
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| spelling | Ruggeri, Tommaso 1947- Verfasser (DE-588)1084792990 aut Rational extended thermodynamics beyond the monatomic gas Tommaso Ruggeri, Masaru Sugiyama Cham Springer [2015] © 2015 1 Online Ressource (XXIV, 376 Seiten, 52 illus., 27 illus. in color) txt rdacontent c rdamedia cr rdacarrier Mathematics Partial differential equations Mathematical physics Fluids Thermodynamics Continuum mechanics Mathematical Applications in the Physical Sciences Fluid- and Aerodynamics Partial Differential Equations Continuum Mechanics and Mechanics of Materials Mathematik Mathematische Physik Sugiyama, Masaru Verfasser (DE-588)1085647560 aut Erscheint auch als Druckausgabe 978-3-319-13340-9 https://doi.org/10.1007/978-3-319-13341-6 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028631925&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028631925&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Ruggeri, Tommaso 1947- Sugiyama, Masaru Rational extended thermodynamics beyond the monatomic gas Mathematics Partial differential equations Mathematical physics Fluids Thermodynamics Continuum mechanics Mathematical Applications in the Physical Sciences Fluid- and Aerodynamics Partial Differential Equations Continuum Mechanics and Mechanics of Materials Mathematik Mathematische Physik |
| title | Rational extended thermodynamics beyond the monatomic gas |
| title_auth | Rational extended thermodynamics beyond the monatomic gas |
| title_exact_search | Rational extended thermodynamics beyond the monatomic gas |
| title_full | Rational extended thermodynamics beyond the monatomic gas Tommaso Ruggeri, Masaru Sugiyama |
| title_fullStr | Rational extended thermodynamics beyond the monatomic gas Tommaso Ruggeri, Masaru Sugiyama |
| title_full_unstemmed | Rational extended thermodynamics beyond the monatomic gas Tommaso Ruggeri, Masaru Sugiyama |
| title_short | Rational extended thermodynamics beyond the monatomic gas |
| title_sort | rational extended thermodynamics beyond the monatomic gas |
| topic | Mathematics Partial differential equations Mathematical physics Fluids Thermodynamics Continuum mechanics Mathematical Applications in the Physical Sciences Fluid- and Aerodynamics Partial Differential Equations Continuum Mechanics and Mechanics of Materials Mathematik Mathematische Physik |
| topic_facet | Mathematics Partial differential equations Mathematical physics Fluids Thermodynamics Continuum mechanics Mathematical Applications in the Physical Sciences Fluid- and Aerodynamics Partial Differential Equations Continuum Mechanics and Mechanics of Materials Mathematik Mathematische Physik |
| url | https://doi.org/10.1007/978-3-319-13341-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028631925&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028631925&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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