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Water Waves: The Mathematical Theory with Applications

2019-04-17 Science
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Release : 2019-04-17
Genre : Science
Kind : eBook
Book Rating : 923/5 ( reviews)

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

Download or read book Water Waves: The Mathematical Theory with Applications written by James Johnston Stoker. This book was released on 2019-04-17. Available in PDF, EPUB and Kindle. Book excerpt: 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 Wave Mechanics For Engineers And Scientists

1991-01-23 Technology & Engineering
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Release : 1991-01-23
Genre : Technology & Engineering
Kind : eBook
Book Rating : 696/5 ( reviews)

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Book Synopsis Water Wave Mechanics For Engineers And Scientists by : Robert G Dean

Download or read book Water Wave Mechanics For Engineers And Scientists written by Robert G Dean. This book was released on 1991-01-23. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an introduction to classical water wave theory for the college senior or first year graduate student. The material is self-contained; almost all mathematical and engineering concepts are presented or derived in the text, thus making the book accessible to practicing engineers as well.The book commences with a review of fluid mechanics and basic vector concepts. The formulation and solution of the governing boundary value problem for small amplitude waves are developed and the kinematic and pressure fields for short and long waves are explored. The transformation of waves due to variations in depth and their interactions with structures are derived. Wavemaker theories and the statistics of ocean waves are reviewed. The application of the water particle motions and pressure fields are applied to the calculation of wave forces on small and large objects. Extension of the linear theory results to several nonlinear wave properties is presented. Each chapter concludes with a set of homework problems exercising and sometimes extending the material presented in the chapter. An appendix provides a description of nine experiments which can be performed, with little additional equipment, in most wave tank facilities.

Nonlinear Water Waves

2019-12-06 Mathematics
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Release : 2019-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 359/5 ( reviews)

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Book Synopsis Nonlinear Water Waves by : David Henry

Download or read book Nonlinear Water Waves written by David Henry. This book was released on 2019-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Water Waves Problem

2013-05-08 Mathematics
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Release : 2013-05-08
Genre : Mathematics
Kind : eBook
Book Rating : 706/5 ( reviews)

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Book Synopsis The Water Waves Problem by : David Lannes

Download or read book The Water Waves Problem written by David Lannes. This book was released on 2013-05-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.

PIV and Water Waves

2004 Science
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Release : 2004
Genre : Science
Kind : eBook
Book Rating : 497/5 ( reviews)

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Book Synopsis PIV and Water Waves by : John Grue

Download or read book PIV and Water Waves written by John Grue. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: - State-of-the-art overview of PIV applied to water waves - Invited articles, in carefully chosen fields, providing profound insight into the role of PIV in important applications - Updated overviews of the PIV method that will benefit newcomers to the field

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