Water wave scattering by barriers:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Southampton [u.a.]
WIT Press
2000
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | 390 S. graph. Darst. |
ISBN: | 1853126233 |
Internformat
MARC
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650 | 4 | |a Mathematisches Modell | |
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650 | 4 | |a Water waves |x Mathematical models | |
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Datensatz im Suchindex
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adam_text | WATER WAVE SCATTERING BY BARRIERS * N MANDAL INDIAN STATISTICAL
INSTITUTE, CALCUTTA, INDIA AND A CHAKRABARTI INDIAN INSTITUTE OF
SCIENCE, BANGALORE, INDIA WITPR55 SOUTHAMPTON, BOSTON CONTENTS PREFACE
IX 1 INTRODUCTION 1 2 THE BASIC EQUATIONS 9 2.1 LINEARIZED THEORY OF
WATER WAVES 9 2.2 SOLUTIONS FOR WATER WAVE POTENTIAL 13 2.3 TWO
SUPERPOSED FLUIDS 17 2.4 THE SURFACE WATER WAVES AND THE SCATTERING
PROBLEMS 22 2.5 SOURCE POTENTIALS 26 3 SOME IMPORTANT MATHEMATICAL
CONCEPTS AND RESULTS 37 3.1 FOURIER ANALYSIS 37 3.2 COMPLEX FUNCTION
THEORY 58 3.3 RIEMANN HILBERT PROBLEMS 59 3.4 M SOME ASPECTS OF THE
WIENER-HOPF TECHNIQUE 62 3.5 SOME ASPECTS OF LINEAR SINGULAR INTEGRAL
EQUATIONS . . 68 3.6 HYPERSINGULAR INTEGRAL EQUATION 78 3.7 SOLUTIONS OF
DUAL INTEGRAL EQUATIONS 85 3.8 GALERKIN S METHOD 98 3.9 VALUES OF
CERTAIN DEFINITE INTEGRALS 104 4 EXPLICIT SOLUTIONS TO SOME BARRIER
PROBLEMS 109 4.1 DESCRIPTION OF THE PHYSICAL PROBLEMS 109 4.2 METHOD
BASED ON HAVELOCK S EXPANSION OF WATER WAVE POTENTIAL ILL 4.3 WATER WAVE
SCATTERING BY A PARTIALLY IMMERSED PLATE 115 4.4 WATER WAVE SCATTERING
BY A SUBMERGED BARRIER .... 120 4.5 WATER WAVE SCATTERING BY A SUBMERGED
PLATE 124 4.6 WATER WAVE SCATTERING BY A THIN VERTICAL WALL WITH A
SUBMERGED GAP 131 4.7 METHOD BASED ON THE USE OF GREEN S INTEGRAL
THEOREM 138 4.8 REDUCTION METHOD 142 4.9 METHOD BASED ON COMPLEX
VARIABLE THEORY 146 5 VERTICAL WALL WITH A NARROW GAP, APPROXIMATE
SOLUTION 153 5.1 DESCRIPTION OF THE PROBLEM 153 5.2 METHOD OF MATCHED
ASYMPTOTIC EXPANSION 154 5.3 METHOD BASED ON APPROXIMATE SOLUTION OF
INTEGRAL EQUATION 160 6 OBLIQUE WAVE SCATTERING BY BARRIERS 165 6.1
DESCRIPTION OF THE PHYSICAL PROBLEMS 165 6.2 USE OF WIENER-HOPF
TECHNIQUE 167 6.3 PERTURBATION ABOUT NORMAL INCIDENCE 176 6.4
SINGLE-TERM GALERKIN APPROXIMATION 192 7 NEARLY VERTICAL BARRIERS AND
SPECIAL BOUNDARY VALUE PROBLEMS 207 7.1 DESCRIPTION OF THE PHYSICAL
PROBLEMS 207 7.2 INTEGRO-DIFFERENTIAL EQUATION FORMULATION 209 7.3
SOLUTION BY A PERTURBATIONAL ANALYSIS 215 7.4 USE OF HAVELOCK S
EXPANSION TO EVALUATE HI 221 7.5 SPECIAL BOUNDARY VALUE PROBLEMS AND
INTEGRAL IDENTITIES 224 7.6 METHOD BASED ON HAVELOCK S EXPANSION 224 7.7
METHOD BASED ON RIEMANN HILBERT PROBLEM 236 8 THIN VERTICAL BARRIERS IN
FINITE DEPTH WATER 247 8.1 SINGLE BARRIER PROBLEMS 247 8.2 BASIS
FUNCTIONS IN MULTI-TERM GALERKIN APPROXIMATIONS FOR BARRIER PROBLEMS 261
8.3 DOUBLE BARRIER PROBLEMS 264 9 THICK RECTANGULAR BARRIERS IN FINITE
DEPTH WATER 287 9.1 WATER WAVE SCATTERING PROBLEMS INVOLVING THICK
BARRIERS 287 9.2 EXPRESSIONS FOR M S A (Y, U) 297 9.3 THE BASIS
FUNCTIONS 299 9.4 EXPRESSIONS FOR K^ N AND D S ETC 304 9.5 NUMERICAL
RESULTS 308 10 INTERFACE WAVE SCATTERING BY BARRIER 319 10.1 VERTICAL
BARRIER SUBMERGED IN LOWER FLUID 320 10.2 INCLINED PLATE SUBMERGED IN
LOWER FLUID 334 11 INCOMING WATER WAVES AGAINST A VERTICAL CLIFF 343
11.1 NORMALLY INCIDENT WAVES 344 11.2 OBLIQUELY INCIDENT WAVES 345 11.3
EFFECT OF SURFACE TENSION 348 12 SECOND-ORDER WAVE SCATTERING 351 12.1
SECOND-ORDER MATHEMATICAL ANALYSIS 352 12.2 SECOND-ORDER REFLECTION
AND TRANSMISSION COEFFICIENTS 357 APPENDIX 361 A SINGULAR INTEGRAL
EQUATIONS OF THE FIRST KIND WITH CAUCHY TYPE KERNEL 361 * A PARTICULAR
SINGULAR INTEGRAL EQUATION 368 BIBLIOGRAPHY 373 INDEXES 385 SUBJECT
INDEX 387 AUTHOR INDEX 389 *
|
any_adam_object | 1 |
author | Mandal, B. N. Chakrabarti, A. |
author_facet | Mandal, B. N. Chakrabarti, A. |
author_role | aut aut |
author_sort | Mandal, B. N. |
author_variant | b n m bn bnm a c ac |
building | Verbundindex |
bvnumber | BV012659536 |
callnumber-first | Q - Science |
callnumber-label | QA927 |
callnumber-raw | QA927 |
callnumber-search | QA927 |
callnumber-sort | QA 3927 |
callnumber-subject | QA - Mathematics |
classification_rvk | UF 5100 |
ctrlnum | (OCoLC)41958996 (DE-599)BVBBV012659536 |
dewey-full | 532/.593 532.0593 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 532 - Fluid mechanics |
dewey-raw | 532/.593 532.0593 |
dewey-search | 532/.593 532.0593 |
dewey-sort | 3532 3593 |
dewey-tens | 530 - Physics |
discipline | Physik |
format | Book |
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id | DE-604.BV012659536 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:31:26Z |
institution | BVB |
isbn | 1853126233 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008601514 |
oclc_num | 41958996 |
open_access_boolean | |
owner | DE-703 |
owner_facet | DE-703 |
physical | 390 S. graph. Darst. |
publishDate | 2000 |
publishDateSearch | 2000 |
publishDateSort | 2000 |
publisher | WIT Press |
record_format | marc |
spelling | Mandal, B. N. Verfasser aut Water wave scattering by barriers B. N. Mandal ; A. Chakrabarti Southampton [u.a.] WIT Press 2000 390 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Water waves Mathematisches Modell Scattering (Mathematics) Water waves Mathematical models Wasserwelle (DE-588)4136091-6 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Streuung (DE-588)4058056-8 gnd rswk-swf Wasserwelle (DE-588)4136091-6 s Streuung (DE-588)4058056-8 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Chakrabarti, A. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008601514&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Mandal, B. N. Chakrabarti, A. Water wave scattering by barriers Water waves Mathematisches Modell Scattering (Mathematics) Water waves Mathematical models Wasserwelle (DE-588)4136091-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd Streuung (DE-588)4058056-8 gnd |
subject_GND | (DE-588)4136091-6 (DE-588)4114528-8 (DE-588)4058056-8 |
title | Water wave scattering by barriers |
title_auth | Water wave scattering by barriers |
title_exact_search | Water wave scattering by barriers |
title_full | Water wave scattering by barriers B. N. Mandal ; A. Chakrabarti |
title_fullStr | Water wave scattering by barriers B. N. Mandal ; A. Chakrabarti |
title_full_unstemmed | Water wave scattering by barriers B. N. Mandal ; A. Chakrabarti |
title_short | Water wave scattering by barriers |
title_sort | water wave scattering by barriers |
topic | Water waves Mathematisches Modell Scattering (Mathematics) Water waves Mathematical models Wasserwelle (DE-588)4136091-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd Streuung (DE-588)4058056-8 gnd |
topic_facet | Water waves Mathematisches Modell Scattering (Mathematics) Water waves Mathematical models Wasserwelle Streuung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008601514&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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