Linear water waves: a mathematical approach
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2002
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Publisher description Inhaltsverzeichnis |
| Beschreibung: | XVII, 513 S. graph. Darst. |
| ISBN: | 0521808537 |
Internformat
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| 245 | 1 | 0 | |a Linear water waves |b a mathematical approach |c N. Kuznetsov ; V. Mazya ; B. Vainberg |
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Datensatz im Suchindex
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| adam_text | LINEAR WATER WAVES A MATHEMATICAL APPROACH N. KUZNETSOV RUSSIAN ACADEMY
OF SCIENCES, ST. PETERSBURG V. MAZ YA UNIVERSITY OF LINKB PING, SWEDEN
B. VAINBERG UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE CAMBRIDGE
UNIVERSITY PRESS CONTENTS PREFACE PAGE XI INTRODUCTION: BASIC THEORY OF
SURFACE WAVES 1 MATHEMATICAL FORMULATION 1 LINEARIZED UNSTEADY PROBLEM 5
LINEAR TIME-HARMONIC WAVES (THE WATER-WAVE PROBLEM) 10 LINEAR SHIP WAVES
ON CALM WATER (THE NEUMANN-KELVIN PROBLEM) 15 1. TIME-HARMONIC WAVES 19
1. GREEN S FUNCTIONS 21 1.1. THREE-DIMENSIONAL PROBLEMS OF POINT SOURCES
21 1.2. TWO-DIMENSIONAL AND RING GREEN S FUNCTIONS 37 1.3. GREEN S
REPRESENTATION OF A VELOCITY POTENTIAL 42 1.4. BIBLIOGRAPHICAL NOTES 48
2. SUBMERGED OBSTACLES 50 2.1. METHOD OF INTEGRAL EQUATIONS^AND KOCHIN S
THEOREM 50 2.2. CONDITIONS OF UNIQUENESS FOR ALL FREQUENCIES 67 2.3.
UNIQUE SOLVABILITY THEOREMS 87 2.4. BIBLIOGRAPHICAL NOTES 96 3.
SEMISUBMERGED BODIES, I 99 3.1. INTEGRAL EQUATIONS FOR SURFACE-PIERCING
BODIES 99 3.2. JOHN S THEOREM ON THE UNIQUE SOLVABILITY AND OTHER
RELATED THEOREMS 116 3.3. BIBLIOGRAPHICAL NOTES 140 4. SEMISUBMERGED
BODIES, II 142 4.1. TRAPPED WAVES 143 VN VIII CONTENTS 4.2. UNIQUENESS
THEOREMS 164 4.3. BIBLIOGRAPHICAL NOTES 212 5. HORIZONTALLY PERIODIC
TRAPPED WAVES 214 5.1. TWO TYPES OF TRAPPED MODES 215 5.2. EDGE WAVES
219 5.3. TRAPPED MODES ABOVE SUBMERGED OBSTACLES 229 5.4. WAVES IN THE
PRESENCE OF SURFACE-PIERCING STRUCTURES 237 5.5. VERTICAL CYLINDERS IN
CHANNELS 254 2. SHIP WAVES ON CALM WATER 263 6. GREEN S FUNCTIONS 265
6.1. THREE-DIMENSIONAL PROBLEM OF A POINT SOURCE IN DEEP WATER 265 6.2.
FAR-FIELD BEHAVIOR OF THE THREE-DIMENSIONAL GREEN S FUNCTION 283 6.3.
TWO-DIMENSIONAL PROBLEMS OF LINE SOURCES 305 6.4. BIBLIOGRAPHICAL NOTES
315 7. THE NEUMANN-KELVIN PROBLEM FOR A SUBMERGED BODY 318 7.1. CYLINDER
IN DEEP WATER 319 7.2. CYLINDER IN SHALLOW WATER 341 7.3. WAVE
RESISTANCE 349 7.4. THREE-DIMENSIONAL BODY IN DEEP WATER 353 7.5.
BIBLIOGRAPHICAL NOTES 359 8. TWO-DIMENSIONAL PROBLEM FOR A
SURFACE-PIERCING BODY 361 8.1. GENERAL LINEAR SUPPLEMENTARY CONDITIONS
AT THE BOW AND STERN POINTS 362 8.2. TOTAL RESISTANCE TO THE FORWARD
MOTION 393 8.3. OTHER SUPPLEMENTARY CONDITIONS 396 8.4. TRAPPED MODES
405 8.5. CYLINDER IN THE SUPERCRITICAL STREAM 411 8.6. BIBLIOGRAPHICAL
NOTES 415 3. UNSTEADY WAVES 419 9. SUBMERGED OBSTACLES: EXISTENCE AND
PROPERTIES OF VELOCITY POTENTIALS 421 9.1. THE INITIAL-BOUNDARY VALUE
PROBLEM AND AN AUXILIARY STEADY-STATE PROBLEM 421 9.2. OPERATOR EQUATION
FOR THE UNSTEADY PROBLEM 425 9.3. MAIN RESULTS 427 9.4. BIBLIOGRAPHICAL
NOTES 432 CONTENTS IX 10. WAVES CAUSED BY RAPIDLY STABILIZING AND
HIGH-FREQUENCY DISTURBANCES 435 10.1. RAPIDLY STABILIZING SURFACE
DISTURBANCES 435 10.2. RAPIDLY STABILIZING UNDERWATER DISTURBANCES 453
10.3. HIGH-FREQUENCY SURFACE PRESSURE 460 10.4. HIGH-FREQUENCY
UNDERWATER DISTURBANCES 474 10.5. BIBLIOGRAPHICAL NOTES 484 BIBLIOGRAPHY
485 NAME INDEX 505 SUBJECT INDEX 509
|
| any_adam_object | 1 |
| author | Kuznecov, Nikolaj G. Mazʹja, Vladimir Gilelevič 1937- Vajnberg, Boris R. |
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| dewey-full | 532/.593 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.593 |
| dewey-search | 532/.593 |
| dewey-sort | 3532 3593 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| edition | 1. publ. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:05:01Z |
| institution | BVB |
| isbn | 0521808537 |
| language | English |
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| publisher | Cambridge Univ. Press |
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| spelling | Kuznecov, Nikolaj G. Verfasser aut Linear water waves a mathematical approach N. Kuznetsov ; V. Mazya ; B. Vainberg 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2002 XVII, 513 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mouvement ondulatoire, Théorie du Vagues - Mathématiques Mathematik Water waves Mathematics Wave-motion, Theory of Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Wasserwelle (DE-588)4136091-6 gnd rswk-swf Wasserwelle (DE-588)4136091-6 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Mazʹja, Vladimir Gilelevič 1937- Verfasser (DE-588)121490602 aut Vajnberg, Boris R. Verfasser aut http://www.loc.gov/catdir/description/cam022/2001052968.html Publisher description GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009959039&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kuznecov, Nikolaj G. Mazʹja, Vladimir Gilelevič 1937- Vajnberg, Boris R. Linear water waves a mathematical approach Mouvement ondulatoire, Théorie du Vagues - Mathématiques Mathematik Water waves Mathematics Wave-motion, Theory of Mathematisches Modell (DE-588)4114528-8 gnd Wasserwelle (DE-588)4136091-6 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4136091-6 |
| title | Linear water waves a mathematical approach |
| title_auth | Linear water waves a mathematical approach |
| title_exact_search | Linear water waves a mathematical approach |
| title_full | Linear water waves a mathematical approach N. Kuznetsov ; V. Mazya ; B. Vainberg |
| title_fullStr | Linear water waves a mathematical approach N. Kuznetsov ; V. Mazya ; B. Vainberg |
| title_full_unstemmed | Linear water waves a mathematical approach N. Kuznetsov ; V. Mazya ; B. Vainberg |
| title_short | Linear water waves |
| title_sort | linear water waves a mathematical approach |
| title_sub | a mathematical approach |
| topic | Mouvement ondulatoire, Théorie du Vagues - Mathématiques Mathematik Water waves Mathematics Wave-motion, Theory of Mathematisches Modell (DE-588)4114528-8 gnd Wasserwelle (DE-588)4136091-6 gnd |
| topic_facet | Mouvement ondulatoire, Théorie du Vagues - Mathématiques Mathematik Water waves Mathematics Wave-motion, Theory of Mathematisches Modell Wasserwelle |
| url | http://www.loc.gov/catdir/description/cam022/2001052968.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009959039&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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