Holdings: Water wave scattering by barriers

Water wave scattering by barriers:

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Bibliographic Details
Main Authors:	Mandal, B. N. (Author), Chakrabarti, A. (Author)
Format:	Book
Language:	English
Published:	Southampton [u.a.] WIT Press 2000
Subjects:	Water waves Mathematisches Modell Scattering (Mathematics) Water waves > Mathematical models Wasserwelle Streuung
Online Access:	Inhaltsverzeichnis
Physical Description:	390 S. graph. Darst.
ISBN:	1853126233

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MARC


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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 *
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author	Mandal, B. N. Chakrabarti, A.
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dewey-search	532/.593 532.0593
dewey-sort	3532 3593
dewey-tens	530 - Physics
discipline	Physik
format	Book
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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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