Advances in the theory of shock waves
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| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2001
|
| Schriftenreihe: | Progress in nonlinear differential equations and their applications
47 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Advances in the theory of shock waves |c Tai-Ping Liu ... Heinrich Freistühler ... ed. |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 2001 | |
| 300 | |a VIII, 516 S. |b graph. Darst. : 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in nonlinear differential equations and their applications |v 47 | |
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a Shock waves | |
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| 700 | 1 | |a Liu, Tai-Ping |e Sonstige |4 oth | |
| 700 | 1 | |a Freistühler, Heinrich |e Sonstige |4 oth | |
| 830 | 0 | |a Progress in nonlinear differential equations and their applications |v 47 |w (DE-604)BV007934389 |9 47 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface vii
I. Well Posedness Theory for Hyperbolic Systems
of Conservation Laws
Tai Ping Liu 1
1. Scalar conservation law 1
2. Glimm scheme 7
3. Wave tracing 15
4. Nonlinear functional 18
II. Stability of Multidimensional Shocks
Guy Metivier 25
Introduction 25
1. The uniform stability condition 26
2. The uniform stability estimates 39
3. Well posedness of the linearized shock front equations 59
4. The existence of multidimensional shocks 69
5. Stability of weak shocks 86
III. Shock Wave Solutions of the Einstein Equations:
A General Theory with Examples
Joel Smoller and Blake Temple 105
1. Introduction 105
2. Solutions of the Einstein equations when the metric
is only Lipschitz continuous across an interface 117
3. Matching an FRW to a TOV metric across a shock wave 139
4. A class of exact shock wave solutions of the
Einstein equations — blast waves in GR 160
5. Cosmology with a shock wave 176
6. General comments on FRW TOV shock waves 215
7. The Oppenheimer Snyder limit and the solution for k = 0 243
IV. Basic Aspects of Hyperbolic Relaxation Systems
Wen An Yong 259
1. Introduction 259
2. Relaxation criterion 262
3. The Chapman Enskog expansion 268
4. Admissible boundary conditions 272
vi Contents
5. Stability conditions 276
6. Typical examples 281
7. Moment closure systems 284
8. Discrete velocity kinetic models 289
9. Relaxation limits for smooth solutions 294
10. Shock structure problems 299
V. Multidimensional Stability of Planar Viscous Shock Waves
Kevin Zumbrun 307
1. Introduction 307
2. The Evans function and its low frequency limit 322
3. Necessary conditions for stability 334
4. Sufficient conditions for stability 342
5. Pointwise bounds for scalar equations 402
6. One dimensional stability: the stability index 435
7. Discussion and open problems ¦ • 451
8. Appendices: extensions and auxiliary calculations 454
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| genre_facet | Aufsatzsammlung |
| id | DE-604.BV013884865 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T15:43:21Z |
| institution | BVB |
| isbn | 3764341874 0817641874 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009499202 |
| oclc_num | 47045150 |
| open_access_boolean | |
| owner | DE-703 DE-11 |
| owner_facet | DE-703 DE-11 |
| physical | VIII, 516 S. graph. Darst. : 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in nonlinear differential equations and their applications |
| series2 | Progress in nonlinear differential equations and their applications |
| spellingShingle | Advances in the theory of shock waves Progress in nonlinear differential equations and their applications Shock waves Stoßwelle (DE-588)4057760-0 gnd |
| subject_GND | (DE-588)4057760-0 (DE-588)4143413-4 |
| title | Advances in the theory of shock waves |
| title_auth | Advances in the theory of shock waves |
| title_exact_search | Advances in the theory of shock waves |
| title_full | Advances in the theory of shock waves Tai-Ping Liu ... Heinrich Freistühler ... ed. |
| title_fullStr | Advances in the theory of shock waves Tai-Ping Liu ... Heinrich Freistühler ... ed. |
| title_full_unstemmed | Advances in the theory of shock waves Tai-Ping Liu ... Heinrich Freistühler ... ed. |
| title_short | Advances in the theory of shock waves |
| title_sort | advances in the theory of shock waves |
| topic | Shock waves Stoßwelle (DE-588)4057760-0 gnd |
| topic_facet | Shock waves Stoßwelle Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009499202&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV007934389 |
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