From hyperbolic systems to kinetic theory: a personalized quest
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2008
|
| Schriftenreihe: | Lecture notes of the Unione Matematica Italiana
6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 275 - 276 |
| Beschreibung: | XXVII, 279 S. |
| ISBN: | 9783540775614 |
Internformat
MARC
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|---|---|---|---|
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| 020 | |a 9783540775614 |9 978-3-540-77561-4 | ||
| 035 | |a (OCoLC)209333412 | ||
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| 100 | 1 | |a Tartar, Luc |d 1946- |e Verfasser |0 (DE-588)134210077 |4 aut | |
| 245 | 1 | 0 | |a From hyperbolic systems to kinetic theory |b a personalized quest |c Luc Tartar |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
| 300 | |a XXVII, 279 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes of the Unione Matematica Italiana |v 6 | |
| 500 | |a Literaturverz. S. 275 - 276 | ||
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Continuum mechanics | |
| 650 | 4 | |a Differential equations, Hyperbolic | |
| 650 | 4 | |a Kinetic theory of gases | |
| 650 | 4 | |a Dynamics | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 0 | 7 | |a Kinetische Theorie |0 (DE-588)4030669-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hyperbolisches System |0 (DE-588)4191897-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Hyperbolisches System |0 (DE-588)4191897-6 |D s |
| 689 | 0 | 1 | |a Kinetische Theorie |0 (DE-588)4030669-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-540-77562-1 |
| 830 | 0 | |a Lecture notes of the Unione Matematica Italiana |v 6 |w (DE-604)BV022297190 |9 6 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-016738720 | ||
Datensatz im Suchindex
| _version_ | 1804138018278211584 |
|---|---|
| adam_text | Contents
1
Historical Perspective
..................................... 1
2
Hyperbolic Systems: Riemann Invariants, Rarefaction
Waves
..................................................... 17
3
Hyperbolic Systems: Contact Discontinuities, Shocks
...... 31
4
The Burgers Equation and the 1-D Scalar Case
............ 39
5
The 1-D Scalar Case: the E-Conditions of Lax
and of Oleinik
............................................. 45
6 Hopfs
Formulation of the E-Condition of Oleinik
.......... 51
7
The Burgers Equation: Special Solutions
................... 57
8
The Burgers Equation: Small Perturbations; the Heat
Equation
.................................................. 63
9
Fourier Transform; the Asymptotic Behaviour
for the Heat Equation
..................................... 73
10
Radon Measures; the Law of Large Numbers
.............. 83
11
A 1-D Model with Characteristic Speed ~
................. 91
12
A 2-D Generalization; the Perron—Frobenius Theory
....... 97
13
A General Finite-Dimensional Model with Characteristic
Speed
ì
...................................................105
14
Discrete Velocity Models
..................................113
XXVI Contents
15
The Mimura-Nishida and the Crandall-Tartar Existence
Theorems
..................................................
129
16
Systems Satisfying My Condition (S)
......................
135
17
Asymptotic Estimates for the Broadwell
and the
Carleman
Models
.................................
18
Oscillating Solutions; the 2-D Broadwell Model
............
I49
19
Oscillating Solutions: the
Carleman
Model
.................
157
20
The
Carleman
Model: Asymptotic Behaviour
..............
I63
21
Oscillating Solutions: the Broadwell Model
................
169
22
Generalized Invariant Regions; the
Varadhan
Estimate
----179
23
Questioning Physics; from Classical Particles to Balance
Laws
......................................................
187
24
Balance Laws; What Are Forces?
..........................
197
25
D. Bernoulli: from Masslets and Springs
to the 1-D Wave Equation
.................................
201
26
Cauchy: from Masslets and Springs to 2-D Linearized
Elasticity
..................................................
209
27
The Two-Body Problem
...................................
213
28
The Boltzmann Equation
..................................
219
29
The Illner-Shinbrot and the Hamdache Existence
Theorems
..................................................229
30
The Hubert Expansion
....................................233
31
Compactness by Integration
...............................239
32
Wave Front Sets;
Н
-Measures..............................
245
33
Н
-Measures and Idealized Particles
.....................251
34
Variants of
Н
-Measures....................................
257
35
Biographical Information
..................................267
36
Abbreviations and Mathematical Notation
.................271
ContontK
XXVII
References
.....................................................275
Index
..........................................................277
|
| adam_txt |
Contents
1
Historical Perspective
. 1
2
Hyperbolic Systems: Riemann Invariants, Rarefaction
Waves
. 17
3
Hyperbolic Systems: Contact Discontinuities, Shocks
. 31
4
The Burgers Equation and the 1-D Scalar Case
. 39
5
The 1-D Scalar Case: the E-Conditions of Lax
and of Oleinik
. 45
6 Hopfs
Formulation of the E-Condition of Oleinik
. 51
7
The Burgers Equation: Special Solutions
. 57
8
The Burgers Equation: Small Perturbations; the Heat
Equation
. 63
9
Fourier Transform; the Asymptotic Behaviour
for the Heat Equation
. 73
10
Radon Measures; the Law of Large Numbers
. 83
11
A 1-D Model with Characteristic Speed ~
. 91
12
A 2-D Generalization; the Perron—Frobenius Theory
. 97
13
A General Finite-Dimensional Model with Characteristic
Speed
ì
.105
14
Discrete Velocity Models
.113
XXVI Contents
15
The Mimura-Nishida and the Crandall-Tartar Existence
Theorems
.
129
16
Systems Satisfying My Condition (S)
.
135
17
Asymptotic Estimates for the Broadwell
and the
Carleman
Models
.
18
Oscillating Solutions; the 2-D Broadwell Model
.
I49
19
Oscillating Solutions: the
Carleman
Model
.
157
20
The
Carleman
Model: Asymptotic Behaviour
.
I63
21
Oscillating Solutions: the Broadwell Model
.
169
22
Generalized Invariant Regions; the
Varadhan
Estimate
----179
23
Questioning Physics; from Classical Particles to Balance
Laws
.
187
24
Balance Laws; What Are Forces?
.
197
25
D. Bernoulli: from Masslets and Springs
to the 1-D Wave Equation
.
201
26
Cauchy: from Masslets and Springs to 2-D Linearized
Elasticity
.
209
27
The Two-Body Problem
.
213
28
The Boltzmann Equation
.
219
29
The Illner-Shinbrot and the Hamdache Existence
Theorems
.229
30
The Hubert Expansion
.233
31
Compactness by Integration
.239
32
Wave Front Sets;
Н
-Measures.
245
33
Н
-Measures and "Idealized Particles"
.251
34
Variants of
Н
-Measures.
257
35
Biographical Information
.267
36
Abbreviations and Mathematical Notation
.271
ContontK
XXVII
References
.275
Index
.277 |
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| author | Tartar, Luc 1946- |
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| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 560 |
| ctrlnum | (OCoLC)209333412 (DE-599)BVBBV035070327 |
| dewey-full | 531 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531 |
| dewey-search | 531 |
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| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
| format | Book |
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| id | DE-604.BV035070327 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T22:04:01Z |
| indexdate | 2024-07-09T21:21:31Z |
| institution | BVB |
| isbn | 9783540775614 |
| language | English |
| lccn | 2007942545 |
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| physical | XXVII, 279 S. |
| publishDate | 2008 |
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| publisher | Springer |
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| series | Lecture notes of the Unione Matematica Italiana |
| series2 | Lecture notes of the Unione Matematica Italiana |
| spelling | Tartar, Luc 1946- Verfasser (DE-588)134210077 aut From hyperbolic systems to kinetic theory a personalized quest Luc Tartar Berlin [u.a.] Springer 2008 XXVII, 279 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes of the Unione Matematica Italiana 6 Literaturverz. S. 275 - 276 Mathematische Physik Continuum mechanics Differential equations, Hyperbolic Kinetic theory of gases Dynamics Mathematical physics Kinetische Theorie (DE-588)4030669-0 gnd rswk-swf Hyperbolisches System (DE-588)4191897-6 gnd rswk-swf Hyperbolisches System (DE-588)4191897-6 s Kinetische Theorie (DE-588)4030669-0 s DE-604 Erscheint auch als Online-Ausgabe 978-3-540-77562-1 Lecture notes of the Unione Matematica Italiana 6 (DE-604)BV022297190 6 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016738720&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tartar, Luc 1946- From hyperbolic systems to kinetic theory a personalized quest Lecture notes of the Unione Matematica Italiana Mathematische Physik Continuum mechanics Differential equations, Hyperbolic Kinetic theory of gases Dynamics Mathematical physics Kinetische Theorie (DE-588)4030669-0 gnd Hyperbolisches System (DE-588)4191897-6 gnd |
| subject_GND | (DE-588)4030669-0 (DE-588)4191897-6 |
| title | From hyperbolic systems to kinetic theory a personalized quest |
| title_auth | From hyperbolic systems to kinetic theory a personalized quest |
| title_exact_search | From hyperbolic systems to kinetic theory a personalized quest |
| title_exact_search_txtP | From hyperbolic systems to kinetic theory a personalized quest |
| title_full | From hyperbolic systems to kinetic theory a personalized quest Luc Tartar |
| title_fullStr | From hyperbolic systems to kinetic theory a personalized quest Luc Tartar |
| title_full_unstemmed | From hyperbolic systems to kinetic theory a personalized quest Luc Tartar |
| title_short | From hyperbolic systems to kinetic theory |
| title_sort | from hyperbolic systems to kinetic theory a personalized quest |
| title_sub | a personalized quest |
| topic | Mathematische Physik Continuum mechanics Differential equations, Hyperbolic Kinetic theory of gases Dynamics Mathematical physics Kinetische Theorie (DE-588)4030669-0 gnd Hyperbolisches System (DE-588)4191897-6 gnd |
| topic_facet | Mathematische Physik Continuum mechanics Differential equations, Hyperbolic Kinetic theory of gases Dynamics Mathematical physics Kinetische Theorie Hyperbolisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016738720&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV022297190 |
| work_keys_str_mv | AT tartarluc fromhyperbolicsystemstokinetictheoryapersonalizedquest |