Perfect incompressible fluids:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English French |
| Published: |
Oxford
Clarendon Press
1998
|
| Series: | Oxford lecture series in mathematics and its applications
14 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 187 S. |
| ISBN: | 0198503970 |
Staff View
MARC
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| 245 | 1 | 0 | |a Perfect incompressible fluids |c Jean-Yves Chemin |
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Record in the Search Index
| _version_ | 1804126948834672640 |
|---|---|
| adam_text | CONTENTS
1 Presentation of the equations 1
1.1 What is a perfect fluid? 1
1.2 Prom Lagrange to Euler 4
1.3 Vorticity, pressure and dimension .2 8
1.4 References and remarks 15
2 Littlewood—Paley theory 16
2.1 Dyadic decomposition 16
2.2 Sobolev spaces 20
2.3 Holder spaces 26
2.4 Paradifferential calculus 32
2.5 The pressure and its gradient field 37
2.6 References and remarks 43
3 Concerning Biot—Savart s law 44
3.1 V estimates 44
3.2 L°° estimates: some examples 47
3.3 Riesz operators and bounded functions 52
3.4 References and remarks 63
4 The case of smooth initial data 65
4.1 Resolution of a model problem 65
4.2 Application to Euler s equation 76
4.3 References and remarks 83
5 The case of bounded vorticity 85
5.1 Yudovich s theorem 85
5.2 On ordinary differential equations 90
5.3 An example 94
5.4 The vortex patch problem 96
5.5 Proof of the persistence 97
5.6 References and remarks 106
6 Vortex sheets 109
6.1 Presentation of the problem 109
6.2 The study of the function G 111
6.3 The limit 112
6.4 References and remarks 117
7 The wave front and the product 119
x CONTENTS
7.1 Presentation of the wave front 119
7.2 When can the product be defined? 125
7.3 Analytic and Gevrey wave front sets 130
7.4 References and remarks 139
8 Analyticity and Gevrey regularity 140
8.1 Statement of the theorems 140
8.2 Multilinear operators 141
8.3 Regularity along the flow lines 150
8.4 References and remarks 156
9 Singular vortex patches 157
9.1 Presentation of the problem 157
9.2 Local Littlewood Paley theory 161
9.3 Dynamics of singular patches 169
9.4 References and remarks 180
References 181
Index 186
|
| any_adam_object | 1 |
| author | Chemin, Jean-Yves 1959- |
| author_GND | (DE-588)143491873 |
| author_facet | Chemin, Jean-Yves 1959- |
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| author_sort | Chemin, Jean-Yves 1959- |
| author_variant | j y c jyc |
| building | Verbundindex |
| bvnumber | BV012323585 |
| callnumber-first | Q - Science |
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| ctrlnum | (OCoLC)39380126 (DE-599)BVBBV012323585 |
| dewey-full | 620.1/064 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/064 |
| dewey-search | 620.1/064 |
| dewey-sort | 3620.1 264 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| format | Book |
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| indexdate | 2024-07-09T18:25:34Z |
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| language | English French |
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| physical | X, 187 S. |
| publishDate | 1998 |
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| series | Oxford lecture series in mathematics and its applications |
| series2 | Oxford lecture series in mathematics and its applications |
| spelling | Chemin, Jean-Yves 1959- Verfasser (DE-588)143491873 aut Fluides parfaits incompressibles Perfect incompressible fluids Jean-Yves Chemin Oxford Clarendon Press 1998 X, 187 S. txt rdacontent n rdamedia nc rdacarrier Oxford lecture series in mathematics and its applications 14 Non-Newtonian fluids Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Inkompressible Strömung (DE-588)4129759-3 gnd rswk-swf Hydromechanik (DE-588)4026312-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Inkompressible Strömung (DE-588)4129759-3 s Partielle Differentialgleichung (DE-588)4044779-0 s 2\p DE-604 Mathematisches Modell (DE-588)4114528-8 s 3\p DE-604 Strömungsmechanik (DE-588)4077970-1 s 4\p DE-604 Hydromechanik (DE-588)4026312-5 s 5\p DE-604 Oxford lecture series in mathematics and its applications 14 (DE-604)BV009910017 14 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008355194&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chemin, Jean-Yves 1959- Perfect incompressible fluids Oxford lecture series in mathematics and its applications Non-Newtonian fluids Strömungsmechanik (DE-588)4077970-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Inkompressible Strömung (DE-588)4129759-3 gnd Hydromechanik (DE-588)4026312-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4077970-1 (DE-588)4114528-8 (DE-588)4129759-3 (DE-588)4026312-5 (DE-588)4044779-0 (DE-588)4143413-4 |
| title | Perfect incompressible fluids |
| title_alt | Fluides parfaits incompressibles |
| title_auth | Perfect incompressible fluids |
| title_exact_search | Perfect incompressible fluids |
| title_full | Perfect incompressible fluids Jean-Yves Chemin |
| title_fullStr | Perfect incompressible fluids Jean-Yves Chemin |
| title_full_unstemmed | Perfect incompressible fluids Jean-Yves Chemin |
| title_short | Perfect incompressible fluids |
| title_sort | perfect incompressible fluids |
| topic | Non-Newtonian fluids Strömungsmechanik (DE-588)4077970-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Inkompressible Strömung (DE-588)4129759-3 gnd Hydromechanik (DE-588)4026312-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Non-Newtonian fluids Strömungsmechanik Mathematisches Modell Inkompressible Strömung Hydromechanik Partielle Differentialgleichung Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008355194&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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