Distribution solutions of nonlinear systems of conservation laws:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Providence, RI
American Math. Soc.
2007
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Schriftenreihe: | Memoirs of the American Mathematical Society
889 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Volume 190, number 889 (second of three numbers.) |
Beschreibung: | VIII, 163 S. graph. Darst. |
ISBN: | 9780821839904 |
Internformat
MARC
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100 | 1 | |a Sever, Michael |e Verfasser |4 aut | |
245 | 1 | 0 | |a Distribution solutions of nonlinear systems of conservation laws |c Michael Sever |
264 | 1 | |a Providence, RI |b American Math. Soc. |c 2007 | |
300 | |a VIII, 163 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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adam_text | Contents
Chapter 1. General distribution solutions 1
1. Something worse can happen 1
2. Background 6
3. Form of distribution solutions 9
4. Delta shocks and singular shocks 19
5. Entropy inequalities 24
6. Symmetries 27
7. Symmetry groups and phase space coordinates 33
Chapter 2. Delta shocks 44
1. The structural conditions 44
2. Definition of solutions 50
3. Delta shocks and Lagrangian coordinates 54
4. Continuation of delta shock solutions 59
5. Nonhyperbolic systems with delta shock solutions 67
6. Strictly hyperbolic, linearly degenerate pairs 70
7. Additional examples 75
Chapter 3. Singular shocks 81
1. Origin and structure 81
2. Examples of systems admitting singular shocks 95
3. Viscous structure of singular shocks 100
4. Proofs of lemmas 3.4 3.7 109
5. Whence they came, where they went 122
6. An example 141
Bibliography 160
vii
|
adam_txt |
Contents
Chapter 1. General distribution solutions 1
1. Something worse can happen 1
2. Background 6
3. Form of distribution solutions 9
4. Delta shocks and singular shocks 19
5. Entropy inequalities 24
6. Symmetries 27
7. Symmetry groups and phase space coordinates 33
Chapter 2. Delta shocks 44
1. The structural conditions 44
2. Definition of solutions 50
3. Delta shocks and Lagrangian coordinates 54
4. Continuation of delta shock solutions 59
5. Nonhyperbolic systems with delta shock solutions 67
6. Strictly hyperbolic, linearly degenerate pairs 70
7. Additional examples 75
Chapter 3. Singular shocks 81
1. Origin and structure 81
2. Examples of systems admitting singular shocks 95
3. Viscous structure of singular shocks 100
4. Proofs of lemmas 3.4 3.7 109
5. Whence they came, where they went 122
6. An example 141
Bibliography 160
vii |
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illustrated | Illustrated |
index_date | 2024-07-02T19:00:36Z |
indexdate | 2024-07-09T21:08:20Z |
institution | BVB |
isbn | 9780821839904 |
language | English |
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physical | VIII, 163 S. graph. Darst. |
publishDate | 2007 |
publishDateSearch | 2007 |
publishDateSort | 2007 |
publisher | American Math. Soc. |
record_format | marc |
series | Memoirs of the American Mathematical Society |
series2 | Memoirs of the American Mathematical Society |
spelling | Sever, Michael Verfasser aut Distribution solutions of nonlinear systems of conservation laws Michael Sever Providence, RI American Math. Soc. 2007 VIII, 163 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 889 Volume 190, number 889 (second of three numbers.) Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Distribution Funktionalanalysis (DE-588)4070505-5 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 s Nichtlineares System (DE-588)4042110-7 s Distribution Funktionalanalysis (DE-588)4070505-5 s DE-604 Memoirs of the American Mathematical Society 889 (DE-604)BV008000141 889 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016152206&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Sever, Michael Distribution solutions of nonlinear systems of conservation laws Memoirs of the American Mathematical Society Erhaltungssatz (DE-588)4131214-4 gnd Nichtlineares System (DE-588)4042110-7 gnd Distribution Funktionalanalysis (DE-588)4070505-5 gnd |
subject_GND | (DE-588)4131214-4 (DE-588)4042110-7 (DE-588)4070505-5 |
title | Distribution solutions of nonlinear systems of conservation laws |
title_auth | Distribution solutions of nonlinear systems of conservation laws |
title_exact_search | Distribution solutions of nonlinear systems of conservation laws |
title_exact_search_txtP | Distribution solutions of nonlinear systems of conservation laws |
title_full | Distribution solutions of nonlinear systems of conservation laws Michael Sever |
title_fullStr | Distribution solutions of nonlinear systems of conservation laws Michael Sever |
title_full_unstemmed | Distribution solutions of nonlinear systems of conservation laws Michael Sever |
title_short | Distribution solutions of nonlinear systems of conservation laws |
title_sort | distribution solutions of nonlinear systems of conservation laws |
topic | Erhaltungssatz (DE-588)4131214-4 gnd Nichtlineares System (DE-588)4042110-7 gnd Distribution Funktionalanalysis (DE-588)4070505-5 gnd |
topic_facet | Erhaltungssatz Nichtlineares System Distribution Funktionalanalysis |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016152206&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV008000141 |
work_keys_str_mv | AT severmichael distributionsolutionsofnonlinearsystemsofconservationlaws |