Well-posedness for general 2 x 2 systems of conservation laws:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2004
|
| Series: | Memoirs of the American Mathematical Society
801 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 169, number 801 (second of 4 numbers)." |
| Physical Description: | IX, 170 S. graph. Darst. |
| ISBN: | 0821834355 |
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MARC
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| 245 | 1 | 0 | |a Well-posedness for general 2 x 2 systems of conservation laws |c Fabio Ancona ; Andrea Marson |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2004 | |
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 801 | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
1. Introduction 1
2. Preliminaries 10
3. Outline of the proof 18
4. The algorithm 37
4.1. Approximate flux function 38
4.2. Approximate Hugoniot curves 40
4.3. Interpolations 41
4.4. Approximate mixed curves 46
4.5. Approximate elementary curves 48
5. Basic interaction estimates 51
5.1. Strength estimates for interaction between wave fronts of the same
family 52
5.2. Speed estimates for interaction between wave fronts of the same
family 53
5.3. Interaction between waves of different families 55
5.4. Strength estimates for two coupled Riemann problems 56
6. Bounds on the total variation and on the interaction potential 60
6.1. Wave front basic notations 63
6.2. Main estimates 72
6.3. Estimates on the increase of the interaction potential 86
6.4. Proof of Proposition 3.1 95
7. Estimates on the number of discontinuities 97
7.1. Proof of Proposition 3.2 98
7.2. Proof of Proposition 3.3 100
7.3. Proof of Proposition 3.4 108
8. Estimates on shift differentials 112
8.1. Estimates on shifting interactions 114
8.2. Basic notations 119
8.3. Main estimates 125
8.4. Estimates on the increase of the shift interaction functional 135
8.5. Proof of Propositions 3.5 3.6 151
vii
viii CONTENTS
9. Completion of the proof 157
10. Conclusion 162
Bibliography 169
|
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| dewey-full | 515.353 515/.353 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
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| id | DE-604.BV017793261 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:21:54Z |
| institution | BVB |
| isbn | 0821834355 |
| language | English |
| lccn | 2003070915 |
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| physical | IX, 170 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Ancona, Fabio 1964- Verfasser (DE-588)173688322 aut Well-posedness for general 2 x 2 systems of conservation laws Fabio Ancona ; Andrea Marson Providence, RI American Mathematical Society 2004 IX, 170 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 801 "Volume 169, number 801 (second of 4 numbers)." Behoudswetten gtt Conservation laws (Mathematics) Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 s DE-604 Marson, Andrea 1968- Sonstige (DE-588)1146521898 oth Memoirs of the American Mathematical Society 801 (DE-604)BV008000141 801 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010684189&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ancona, Fabio 1964- Well-posedness for general 2 x 2 systems of conservation laws Memoirs of the American Mathematical Society Behoudswetten gtt Conservation laws (Mathematics) Erhaltungssatz (DE-588)4131214-4 gnd |
| subject_GND | (DE-588)4131214-4 |
| title | Well-posedness for general 2 x 2 systems of conservation laws |
| title_auth | Well-posedness for general 2 x 2 systems of conservation laws |
| title_exact_search | Well-posedness for general 2 x 2 systems of conservation laws |
| title_full | Well-posedness for general 2 x 2 systems of conservation laws Fabio Ancona ; Andrea Marson |
| title_fullStr | Well-posedness for general 2 x 2 systems of conservation laws Fabio Ancona ; Andrea Marson |
| title_full_unstemmed | Well-posedness for general 2 x 2 systems of conservation laws Fabio Ancona ; Andrea Marson |
| title_short | Well-posedness for general 2 x 2 systems of conservation laws |
| title_sort | well posedness for general 2 x 2 systems of conservation laws |
| topic | Behoudswetten gtt Conservation laws (Mathematics) Erhaltungssatz (DE-588)4131214-4 gnd |
| topic_facet | Behoudswetten Conservation laws (Mathematics) Erhaltungssatz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010684189&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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