Water Waves The Mathematical Theory With Applications

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Water Waves The Mathematical Theory With Applications

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Author : James Johnston Stoker
language : en
Publisher: Courier Dover Publications
Release Date : 2019-04-17

Water Waves The Mathematical Theory With Applications written by James Johnston Stoker and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-17 with Science categories.

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.

Water Waves The Mathematical Theory With Applications

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Author : James Johnston Stoker
language : en
Publisher: Courier Dover Publications
Release Date : 2019-04-17

Water Waves The Mathematical Theory With Applications written by James Johnston Stoker and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-17 with Science categories.

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.

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 : 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: Forgotten Books
Release Date : 2017-11-19

Water Waves written by J. J. Stoker and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-19 with Science categories.

Excerpt from Water Waves: The Mathematical Theory With Applications The subject of surface gravity waves has great variety whether regarded from the point of View of the types of physical problem which occur, or from the point of View of the mathematical ideas and methods needed to attack them. The physical problems range from discussion of wave motion over sloping beaches to flood waves in rivers, the motion of ships in a sea-way, free oscillations of enclosed bodies of water such as lakes and harbors, and the propagation of frontal discontinuities in the atmosphere, to mention just a few. The mathematical tools employed comprise just about the whole of the tools developed in the classical linear mathematical physics concerned with partial differential equations, as well as a good part of what has been learned about the nonlinear problems of mathe matical physics. Thus potential theory and the theory of the linear wave equation, together with such tools as conformal mapping and complex variable methods in general, the Laplace and Fourier transform techniques, methods employing a Green's function, integral equations, etc. Are used. The nonlinear problems are of both elliptic and hyperbolic type. In spite of the diversity of the material, the book, is not a collection of disconnected topics, written for specialists, and lacking unity and coherence. Instead, considerable pains have been taken to supply the fundamental background in hydrodynamics and also in some of the mathematics needed and to plan the book in order that it should be as much as possible a self - contained and readable whole. Though the contents of the book are outlined in detail below, it has some point to indicate briefly here its general plan. There are four main parts of the book. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Water Waves

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Author : James Johnston Stoker
language : en
Publisher:
Release Date : 1968

Water Waves written by James Johnston Stoker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Hydraulics categories.

A Modern Introduction To The Mathematical Theory Of Water Waves

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Author : Robin Stanley Johnson
language : en
Publisher: Cambridge University Press
Release Date : 1997-10-28

A Modern Introduction To The Mathematical Theory Of Water Waves written by Robin Stanley 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 Mathematics categories.

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

Linear Water Waves

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Author : Nikolaĭ Germanovich Kuznet︠s︡ov
language : en
Publisher: Cambridge University Press
Release Date : 2002-07-11

Linear Water Waves written by Nikolaĭ Germanovich Kuznet︠s︡ov 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 2002-07-11 with Mathematics categories.

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.'

Journal Of Nonlinear Mathematical Physics Vol 14

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Author :
language : en
Publisher: atlantis press
Release Date :

Journal Of Nonlinear Mathematical Physics Vol 14 written by and has been published by atlantis press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Nelinejnye Nelokal Nye Uravneni V Teorii Voln

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Author : Pavel Ivanovich Naumkin
language : en
Publisher: American Mathematical Soc.
Release Date :

Nelinejnye Nelokal Nye Uravneni V Teorii Voln written by Pavel Ivanovich Naumkin 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 with Science categories.

This book is the first to concentrate on the theory of nonlinear nonlocal equations. The authors solve a number of problems concerning the asymptotic behavior of solutions of nonlinear evolution equations, the blow-up of solutions, and the global in time existence of solutions. In addition, a new classification of nonlinear nonlocal equations is introduced. A large class of these equations is treated by a single method, the main features of which are apriori estimates in different integral norms and use of the Fourier transform. This book will interest specialists in partial differential equations, as well as physicists and engineers.