The action principle and partial differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton, NJ
Princeton Univ. Press
2000
|
| Series: | Annals of mathematics studies
146 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 319 S. |
| ISBN: | 0691049564 0691049572 |
Staff View
MARC
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| 245 | 1 | 0 | |a The action principle and partial differential equations |c by Demetrios Christodoulou |
| 264 | 1 | |a Princeton, NJ |b Princeton Univ. Press |c 2000 | |
| 300 | |a VIII, 319 S. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
General Introduction 3
1 7
1.0 Introduction 7
1.1 The Lagrangian Picture 8
1.2 The Hamiltonian Picture 19
1.3 Examples 28
2 51
2.0 introduction 51
2.1 The Canonical and Symplectic Forms 57
2.2 Symplectic Transformations 62
2.3 The Equations of Variation 79
2.4 The Circulation Theorem 84
2.5 The Euler System 87
2.6 Irrotational Solutions 96
2.7 The Equation of Continuity 99
3 105
3.0 Introduction 105
3.1 Compatible Currents 108
3.2 Null Currents and Null Lagragians 125
3.3 The Source Equations 128
3.4 The Generic Case n 1 m 2 133
3.5 The Separable Case m 2 141
3.6 The Case m = 2 144
3.7 Lie Flows and the Noether Current 146
4 159
4.1 Sections of Vector Bundles 159
vii
viii CONTENTS
5 191
5.0 Introduction 191
5.1 Relative Lagrangians 195
5.2 Ellipticity and Hyperbolicity 220
5.3 The Domain of Dependence 240
6 263
6.1 The Electromagnetic Field 263
6.2 Electromagnetic Symplectic Structure 272
6.3 Electromagnetic Compatible Currents 282
6.4 Causality in Electromagnetic Theory 299
Bibliography 315
Index 317
|
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| dewey-full | 515/.353 510 |
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| dewey-raw | 515/.353 510 |
| dewey-search | 515/.353 510 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| indexdate | 2024-07-09T18:37:56Z |
| institution | BVB |
| isbn | 0691049564 0691049572 |
| language | English |
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| physical | VIII, 319 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies |
| spelling | Christodulu, Dēmētrēs Ch. 1951- Verfasser (DE-588)1049266897 aut The action principle and partial differential equations by Demetrios Christodoulou Princeton, NJ Princeton Univ. Press 2000 VIII, 319 S. txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies 146 Equations différentielles hyperboliques ram Partiële differentiaalvergelijkingen gtt Symplectische ruimten gtt Variétés symplectiques Variétés symplectiques ram Équations différentielles hyperboliques Differential equations, Hyperbolic Symplectic manifolds Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Hyperbolische Differentialgleichung (DE-588)4131213-2 s Symplektische Mannigfaltigkeit (DE-588)4290704-4 s Annals of mathematics studies 146 (DE-604)BV000000991 146 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008877187&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Christodulu, Dēmētrēs Ch. 1951- The action principle and partial differential equations Annals of mathematics studies Equations différentielles hyperboliques ram Partiële differentiaalvergelijkingen gtt Symplectische ruimten gtt Variétés symplectiques Variétés symplectiques ram Équations différentielles hyperboliques Differential equations, Hyperbolic Symplectic manifolds Partielle Differentialgleichung (DE-588)4044779-0 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4290704-4 (DE-588)4131213-2 |
| title | The action principle and partial differential equations |
| title_auth | The action principle and partial differential equations |
| title_exact_search | The action principle and partial differential equations |
| title_full | The action principle and partial differential equations by Demetrios Christodoulou |
| title_fullStr | The action principle and partial differential equations by Demetrios Christodoulou |
| title_full_unstemmed | The action principle and partial differential equations by Demetrios Christodoulou |
| title_short | The action principle and partial differential equations |
| title_sort | the action principle and partial differential equations |
| topic | Equations différentielles hyperboliques ram Partiële differentiaalvergelijkingen gtt Symplectische ruimten gtt Variétés symplectiques Variétés symplectiques ram Équations différentielles hyperboliques Differential equations, Hyperbolic Symplectic manifolds Partielle Differentialgleichung (DE-588)4044779-0 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd |
| topic_facet | Equations différentielles hyperboliques Partiële differentiaalvergelijkingen Symplectische ruimten Variétés symplectiques Équations différentielles hyperboliques Differential equations, Hyperbolic Symplectic manifolds Partielle Differentialgleichung Symplektische Mannigfaltigkeit Hyperbolische Differentialgleichung |
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