Linear Water Waves

Author : Nikolaĭ Germanovich Kuznet︠s︡ov,V. G. Mazʹi︠a︡,B. Vainberg
Publisher : Cambridge University Press
Page : 528 pages
File Size : 41,7 Mb
Release : 2002-07-11
Category : Mathematics
ISBN : 0521808537

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Linear Water Waves by Nikolaĭ Germanovich Kuznet︠s︡ov,V. G. Mazʹi︠a︡,B. Vainberg Pdf

This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with time-harmonic waves. Three linear boundary value problems serve as the approximate mathematical models for these types of water waves. The next section uses a plethora of mathematical techniques in the investigation of these three problems. The techniques used in the book include integral equations based on Green's functions, various inequalities between the kinetic and potential energy and integral identities which are indispensable for proving the uniqueness theorems. The so-called inverse procedure is applied to constructing examples of non-uniqueness, usually referred to as 'trapped nodes.'

Author : Johannes Falnes,Adi Kurniawan
Publisher : Cambridge University Press
Page : 319 pages
File Size : 46,6 Mb
Release : 2020-05-28
Category : Science
ISBN : 9781108481663

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Ocean Waves and Oscillating Systems by Johannes Falnes,Adi Kurniawan Pdf

Understand the absorption of energy from ocean waves by means of oscillating systems with this useful new edition. Essential for engineers, researchers, and graduate students, and an indispensable tool for those who work in this field.

Author : Chiang C. Mei,Michael Stiassnie,Dick K.-P. Yue
Publisher : World Scientific
Page : 540 pages
File Size : 54,7 Mb
Release : 2005
Category : Nonlinear waves
ISBN : 9789812561565

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Theory and Applications of Ocean Surface Waves: Linear aspects by Chiang C. Mei,Michael Stiassnie,Dick K.-P. Yue Pdf

Presents theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering as well as coastal oceanography. It is intended for graduate students and researchers in coastal and ocean engineering, geophysical fluid dynamicists interested in water waves.

Author : G. B. Whitham
Publisher : John Wiley & Sons
Page : 660 pages
File Size : 52,9 Mb
Release : 2011-10-18
Category : Science
ISBN : 9781118031209

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Linear and Nonlinear Waves by G. B. Whitham Pdf

Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific cases in communications and specific physical fields, including flood waves in rivers, waves in glaciers, traffic flow, sonic booms, blast waves, and ocean waves from storms.

Author : Gordon David Crapper
Publisher : Unknown
Page : 232 pages
File Size : 40,6 Mb
Release : 1984
Category : Water waves
ISBN : UCSD:31822002096550

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Introduction to Water Waves by Gordon David Crapper Pdf

Author : James Johnston Stoker
Publisher : Courier Dover Publications
Page : 593 pages
File Size : 41,7 Mb
Release : 2019-04-17
Category : Science
ISBN : 9780486839929

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Water Waves: The Mathematical Theory with Applications by James Johnston Stoker Pdf

First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.

Author : Robin Stanley Johnson
Publisher : Cambridge University Press
Page : 468 pages
File Size : 50,9 Mb
Release : 1997-10-28
Category : Mathematics
ISBN : 052159832X

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A Modern Introduction to the Mathematical Theory of Water Waves by Robin Stanley Johnson Pdf

This text considers classical and modern problems in linear and non-linear water-wave theory.

Author : Maarten W. Dingemans
Publisher : World Scientific
Page : 508 pages
File Size : 48,9 Mb
Release : 2000
Category : Technology & Engineering
ISBN : 9810239947

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Water Wave Propagation Over Uneven Bottoms: Linear wave propagation by Maarten W. Dingemans Pdf

Author : Kiyoshi Horikawa,Hajime Maruo
Publisher : Springer Science & Business Media
Page : 457 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642833311

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Nonlinear Water Waves by Kiyoshi Horikawa,Hajime Maruo Pdf

Non-linear behaviour of water waves has recently drawn much attention of scientists and engineers in the fields of oceanography, applied mathematics, coastal engineering, ocean engineering, naval architecture, and others. The IUTAM Symposium on Non-linear Water Waves was organized with the aim of bringing together researchers who are actively studying non-linear water waves from various viewpoints. The papers contained in this book are related to the generation and deformation of non-linear water waves and the non-linear interaction between waves and bodies. That is, various types of non-linear water waves were analyzed on the basis of various well-known equations, experimental studies on breaking waves were presented, and numerical studies of calculating second-order non-linear wave-body interaction were proposed.

Author : Adrian Constantin
Publisher : SIAM
Page : 325 pages
File Size : 51,9 Mb
Release : 2011-12-01
Category : Mathematics
ISBN : 9781611971866

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Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis by Adrian Constantin Pdf

This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible. The author discusses the underlying physical factors of such waves and explores the physical relevance of the mathematical results that are presented. The book is intended for mathematicians, physicists and engineers interested in the interplay between physical concepts and insights and the mathematical ideas and methods that are relevant to specific water-wave phenomena. The material is an expanded version of the author's lectures delivered at the NSF-CBMS Regional Research Conference in the Mathematical Sciences organized by the Mathematics Department of the University of Texas-Pan American in 2010.

Author : I.R. Young
Publisher : Elsevier
Page : 307 pages
File Size : 45,5 Mb
Release : 1999-03-23
Category : Science
ISBN : 9780080543802

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Wind Generated Ocean Waves by I.R. Young Pdf

The goals of wind wave research are relatively well defined: to be able to predict the wind wave field and its effect on the environment. That environment could be natural (beaches, the atmosphere etc.) or imposed by human endeavour (ports, harbours, coastal settlements etc.). Although the goals are similar, the specific requirements of these various fields differ considerably. This book attempts to summarise the current state of this knowledge and to place this understanding into a common frame work. It attempts to take a balanced approach between the pragmatic engineering view of requiring a short term result and the scientific quest for detailed understanding. Thus, it attempts to provide a rigorous description of the physical processes involved as well as practical predictive tools.

Author : Bernard Le Mehaute,Shen Wang
Publisher : World Scientific
Page : 398 pages
File Size : 53,5 Mb
Release : 1996
Category : Science
ISBN : 9810220839

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Water Waves Generated by Underwater Explosion by Bernard Le Mehaute,Shen Wang Pdf

This is the first book on explosion-generated water waves. It presents the theoretical foundations and experimental results of the generation and propagation of impulsively generated waves resulting from underwater explosions. Many of the theories and concepts presented herein are applicable to other types of water waves, in particular, tsunamis and waves generated by the fall of a meteorite. Linear and nonlinear theories, as well as experimental calibrations, are presented for cases of deep and shallow water explosions. Propagation of transient waves on dissipative, nonuniform bathymetries together with laboratory simulations are analyzed and discussed.

Author : M. W. Dingemans
Publisher : World Scientific
Page : 1015 pages
File Size : 52,5 Mb
Release : 1997
Category : Technology & Engineering
ISBN : 9789810204273

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Water Wave Propagation Over Uneven Bottoms by M. W. Dingemans Pdf

The primary objective of this book is to provide a review of techniques available for the problems of wave propagation in regions with uneven beds as they are encountered in coastal areas. The view taken is that the techniques should be useful for application in advisory practice. However, effort is put into a precise definition of the underlying physical principles, so that the validity of the methods used can be evaluated. Both linear and nonlinear wave propagation techniques are discussed. Because of its length, the book comes in two parts, part 1 covering primarily linear wave propagation, and part 2 covering on nonlinear wave propagation.

Author : David Henry,Konstantinos Kalimeris,Emilian I. Părău,Jean-Marc Vanden-Broeck,Erik Wahlén
Publisher : Springer Nature
Page : 218 pages
File Size : 43,6 Mb
Release : 2019-11-27
Category : Mathematics
ISBN : 9783030335366

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Nonlinear Water Waves by David Henry,Konstantinos Kalimeris,Emilian I. Părău,Jean-Marc Vanden-Broeck,Erik Wahlén Pdf

The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled researchers to make major progress in this field, reflected in the topics featured in this volume. Cutting-edge techniques and tools from mathematical analysis have generated strong rigorous results concerning the qualitative and quantitative physical properties of solutions of the governing equations. Furthermore, accurate numerical computations of fully-nonlinear steady and unsteady water waves in two and three dimensions have contributed to the discovery of new types of waves. Model equations have been derived in the long-wave and modulational regime using Hamiltonian formulations and solved numerically. This book brings together interdisciplinary researchers working in the field of nonlinear water waves, whose contributions range from survey articles to new research results which address a variety of aspects in nonlinear water waves. It is motivated by a workshop which was organised at the Erwin Schrödinger International Institute for Mathematics and Physics in Vienna, November 27-December 7, 2017. The key aim of the workshop was to describe, and foster, new approaches to research in this field. This is reflected in the contents of this book, which is aimed to stimulate both experienced researchers and students alike.

Author : J. J. Stoker
Publisher : John Wiley & Sons
Page : 614 pages
File Size : 43,6 Mb
Release : 1992-04-16
Category : Mathematics
ISBN : 9780471570349

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Water Waves by J. J. Stoker Pdf

Offers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces. Uses both potential and linear wave equation theories, together with applications such as the Laplace and Fourier transform methods, conformal mapping and complex variable techniques in general or integral equations, methods employing a Green's function. Coverage includes fundamental hydrodynamics, waves on sloping beaches, problems involving waves in shallow water, the motion of ships and much more.