The Mathematical Theory Of Permanent Progressive Water Waves
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The Mathematical Theory Of Permanent Progressive Water Waves
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Author : Hisashi Okamoto
language : en
Publisher: World Scientific
Release Date : 2001
The Mathematical Theory Of Permanent Progressive Water Waves written by Hisashi Okamoto and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book is a self-contained introduction to the theory of periodic, progressive, permanent waves on the surface of incompressible inviscid fluid. The problem of permanent water-waves has attracted a large number of physicists and mathematicians since Stokes' pioneering papers appeared in 1847 and 1880. Among many aspects of the problem, the authors focus on periodic progressive waves, which mean waves traveling at a constant speed with no change of shape. As a consequence, everything about standing waves are excluded and solitary waves are studied only partly. However, even for this restricted problem, quite a number of papers and books, in physics and mathematics, have appeared and more will continue to appear, showing the richness of the subject. In fact, there remain many open questions to be answered.The present book consists of two parts: numerical experiments and normal form analysis of the bifurcation equations. Prerequisite for reading it is an elementary knowledge of the Euler equations for incompressible inviscid fluid and of bifurcation theory. Readers are also expected to know functional analysis at an elementary level. Numerical experiments are reported so that any reader can re-examine the results with minimal labor: the methods used in this book are well-known and are described as clearly as possible. Thus, the reader with an elementary knowledge of numerical computation will have little difficulty in the re-examination.
Water Waves
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Author : J. J. STOKER
language : en
Publisher:
Release Date : 2018
Water Waves written by J. J. STOKER and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Water Waves
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Author : J. J. Stoker
language : en
Publisher: John Wiley & Sons
Release Date : 2011-08-15
Water Waves written by J. J. Stoker and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-15 with Mathematics categories.
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.
Water Waves
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Author : James J. Stoker
language : en
Publisher: Wiley-Interscience
Release Date : 1992
Water Waves written by James J. Stoker and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
Water Waves
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Author :
language : en
Publisher:
Release Date : 1957
Water Waves written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Hydraulics categories.
A Modern Introduction To The Mathematical Theory Of Water Waves
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Author : R. S. Johnson
language : en
Publisher: Cambridge University Press
Release Date : 1997-10-28
A Modern Introduction To The Mathematical Theory Of Water Waves written by R. S. Johnson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-28 with Science categories.
For over a hundred years, the theory of water waves has been a source of intriguing and often difficult mathematical problems. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and nonlinear water-wave theory. This sets the stage for a study of more modern aspects, problems that give rise to soliton-type equations. The book closes with an introduction to the effects of viscosity. All the mathematical developments are presented in the most straightforward manner, with worked examples and simple cases carefully explained. Exercises, further reading, and historical notes on some of the important characters in the field round off the book and make this an ideal text for a beginning graduate course on water waves.
Mathematical Problems In The Theory Of Water Waves
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Author : Frederic Dias
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Mathematical Problems In The Theory Of Water Waves written by Frederic Dias and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mouvement ondulatoire, Théorie du categories.
The proceedings featured in this book grew out of a conference attended by 40 applied mathematicians and physicists which was held at the International Center for Research in Mathematics in Luminy, France, in May 1995. This volume reviews recent developments in the mathematical theory of water waves. The following aspects are considered: modeling of various wave systems, mathematical and numerical analysis of the full water wave problem (the Euler equations with a free surface) and of asymptotic models (Korteweg-de Vries, Boussinesq, Benjamin-Ono, Davey-Stewartson, Kadomtsev-Petviashvili, etc.), and existence and stability of solitary waves.
Lectures On The Theory Of Water Waves
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Author : Thomas J. Bridges
language : en
Publisher: Cambridge University Press
Release Date : 2016-02-04
Lectures On The Theory Of Water Waves written by Thomas J. Bridges and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-04 with Mathematics categories.
A range of experts contribute introductory-level lectures on active topics in the theory of water waves.
The Water Waves Problem
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Author : David Lannes
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-05-08
The Water Waves Problem written by David Lannes and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-08 with Mathematics categories.
This monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models.
Mathematical Techniques For Water Waves
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Author : B. N. Mandal
language : en
Publisher: WIT Press (UK)
Release Date : 1997
Mathematical Techniques For Water Waves written by B. N. Mandal and has been published by WIT Press (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Fluid mechanics categories.
The mathematical techniques used to handle various water wave problems are varied and fascinating. This book highlights a number of these techniques in connection with investigations of some classes of water wave problems by leading researchers in this field. The first eight chapters discuss linearised theory while the last two cover nonlinear analysis. This book will be an invaluable source of reference for advanced mathematical work in water wave theory.