From kinetic models to hydrodynamics: some novel results
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York [u.a.]
Springer
2013
|
| Schriftenreihe: | SpringerBriefs in mathematics
|
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026796793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XII, 96 S. graph. Darst. |
| ISBN: | 9781461463054 |
Internformat
MARC
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|---|---|---|---|
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| 003 | DE-604 | ||
| 005 | 20190731 | ||
| 007 | t| | ||
| 008 | 131009s2013 xx d||| |||| 00||| eng d | ||
| 020 | |a 9781461463054 |9 978-1-4614-6305-4 | ||
| 035 | |a (OCoLC)851186631 | ||
| 035 | |a (DE-599)GBV750462485 | ||
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| 100 | 1 | |a Colangeli, Matteo |d ca. 20./21. Jh. |e Verfasser |0 (DE-588)1191836258 |4 aut | |
| 245 | 1 | 0 | |a From kinetic models to hydrodynamics |b some novel results |c Matteo Colangeli |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2013 | |
| 300 | |a XII, 96 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a SpringerBriefs in mathematics | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4614-6306-1 |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026796793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-026796793 | |
Datensatz im Suchindex
| _version_ | 1819268313291685888 |
|---|---|
| adam_text | Contents
1
Introduction
........................................ 1
References
.......................................... 2
2
From the Phase Space to the Boltzmann Equation
............ 3
2.1
The Phase Space Description
......................... 3
2.2
The Boltzmann Equation
............................ 9
2.2.1
Н
-Theorem and the Maxwellian Distribution
......... 15
2.3
Hydrodynamic Limit and Other Scalings
................. 16
2.4
Linearized Collision Integrals and Kinetic Models
........... 18
References
.......................................... 20
3
Methods of Reduced Description
......................... 23
3.1
The Bogoliubov Hypothesis and Macroscopic Equations
...... 23
3.2
The Hubert and the Chapman-Enskog Methods
............ 28
3.3
Grad s Moment Method
............................. 30
3.4
The Invariant Manifold Theory
........................ 31
References
.......................................... 35
4
Hydrodynamic Spectrum of Simple Fluids
.................. 37
4.1
Correlations in Space and Time
....................... 38
4.2
Linearized Hydrodynamics and Collective Modes
........... 42
References
.......................................... 47
5
Hydrodynamic Fluctuations from the Boltzmann Equation
...... 49
5.1
Eigenfrequencies of the Boltzmann Equation
.............. 50
5.2
The Invariant Manifold Technique
...................... 53
5.3
Coordinate Representation and Symmetries
............... 56
5.4
The BGK Kinetic Model
............................ 60
Xl
xii
Contents
5.5
The Maxwell Molecules Gas
.......................... 63
5.5.1
Hydrodynamic Modes and Transport Coefficients
...... 66
5.5.2
Short-Wavelength Hydrodynamics
................ 69
References
.......................................... 72
6
Grad s 13-Moments System
............................. 75
6.1
Derivation of the 13-Moment System from
the Boltzmann Equation
............................. 76
6.2
Hydrodynamics from the Linearized One-Dimensional
Grad s System
.................................... 77
6.2.1
Invariance
Equations
.......................... 81
6.2.2
Exact Hydrodynamic Solutions
................... 82
6.2.3
Hyperbolic Transformation for Exact Hydrodynamics
... 85
6.3
Exact Hydrodynamics from Three-Dimensional Linearized
Grad s Equations
.................................. 88
References
.......................................... 94
7
Conclusions
......................................... 95
References
.......................................... 96
|
| any_adam_object | 1 |
| author | Colangeli, Matteo ca. 20./21. Jh |
| author_GND | (DE-588)1191836258 |
| author_facet | Colangeli, Matteo ca. 20./21. Jh |
| author_role | aut |
| author_sort | Colangeli, Matteo ca. 20./21. Jh |
| author_variant | m c mc |
| building | Verbundindex |
| bvnumber | BV041348168 |
| classification_rvk | UG 1300 |
| ctrlnum | (OCoLC)851186631 (DE-599)GBV750462485 |
| dewey-full | 532.50015118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.50015118 |
| dewey-search | 532.50015118 |
| dewey-sort | 3532.50015118 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV041348168 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T16:45:22Z |
| institution | BVB |
| isbn | 9781461463054 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026796793 |
| oclc_num | 851186631 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XII, 96 S. graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series2 | SpringerBriefs in mathematics |
| spellingShingle | Colangeli, Matteo ca. 20./21. Jh From kinetic models to hydrodynamics some novel results |
| title | From kinetic models to hydrodynamics some novel results |
| title_auth | From kinetic models to hydrodynamics some novel results |
| title_exact_search | From kinetic models to hydrodynamics some novel results |
| title_full | From kinetic models to hydrodynamics some novel results Matteo Colangeli |
| title_fullStr | From kinetic models to hydrodynamics some novel results Matteo Colangeli |
| title_full_unstemmed | From kinetic models to hydrodynamics some novel results Matteo Colangeli |
| title_short | From kinetic models to hydrodynamics |
| title_sort | from kinetic models to hydrodynamics some novel results |
| title_sub | some novel results |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026796793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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