Mathematical Theory Of Water Waves
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Author |
: Robin Stanley Johnson |
Publisher |
: Cambridge University Press |
Total Pages |
: 468 |
Release |
: 1997-10-28 |
ISBN-10 |
: 052159832X |
ISBN-13 |
: 9780521598323 |
Rating |
: 4/5 (2X Downloads) |
Synopsis A Modern Introduction to the Mathematical Theory of Water Waves by : Robin Stanley Johnson
This text considers classical and modern problems in linear and non-linear water-wave theory.
Author |
: James Johnston Stoker |
Publisher |
: Courier Dover Publications |
Total Pages |
: 593 |
Release |
: 2019-04-17 |
ISBN-10 |
: 9780486839929 |
ISBN-13 |
: 0486839923 |
Rating |
: 4/5 (29 Downloads) |
Synopsis Water Waves: The Mathematical Theory with Applications by : James Johnston Stoker
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 |
: David Lannes |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 347 |
Release |
: 2013-05-08 |
ISBN-10 |
: 9780821894705 |
ISBN-13 |
: 0821894706 |
Rating |
: 4/5 (05 Downloads) |
Synopsis The Water Waves Problem by : David Lannes
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.
Author |
: Hisashi Okamoto |
Publisher |
: World Scientific |
Total Pages |
: 248 |
Release |
: 2001 |
ISBN-10 |
: 9810244509 |
ISBN-13 |
: 9789810244507 |
Rating |
: 4/5 (09 Downloads) |
Synopsis The Mathematical Theory of Permanent Progressive Water-waves by : Hisashi Okamoto
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.
Author |
: James Johnston Stoker |
Publisher |
: Courier Dover Publications |
Total Pages |
: 593 |
Release |
: 2019-04-17 |
ISBN-10 |
: 9780486832999 |
ISBN-13 |
: 0486832996 |
Rating |
: 4/5 (99 Downloads) |
Synopsis Water Waves: The Mathematical Theory with Applications by : James Johnston Stoker
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 |
: Thomas J. Bridges |
Publisher |
: Cambridge University Press |
Total Pages |
: 299 |
Release |
: 2016-02-04 |
ISBN-10 |
: 9781107565562 |
ISBN-13 |
: 1107565561 |
Rating |
: 4/5 (62 Downloads) |
Synopsis Lectures on the Theory of Water Waves by : Thomas J. Bridges
A range of experts contribute introductory-level lectures on active topics in the theory of water waves.
Author |
: J. J. Stoker |
Publisher |
: John Wiley & Sons |
Total Pages |
: 614 |
Release |
: 1992-04-16 |
ISBN-10 |
: 9780471570349 |
ISBN-13 |
: 0471570346 |
Rating |
: 4/5 (49 Downloads) |
Synopsis Water Waves by : J. J. Stoker
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.
Author |
: Robert G Dean |
Publisher |
: World Scientific Publishing Company |
Total Pages |
: 369 |
Release |
: 1991-01-23 |
ISBN-10 |
: 9789814365697 |
ISBN-13 |
: 9814365696 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Water Wave Mechanics For Engineers And Scientists by : Robert G Dean
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.
Author |
: Adrian Constantin |
Publisher |
: SIAM |
Total Pages |
: 333 |
Release |
: 2011-01-01 |
ISBN-10 |
: 161197187X |
ISBN-13 |
: 9781611971873 |
Rating |
: 4/5 (7X Downloads) |
Synopsis Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis by : Adrian Constantin
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 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 |
: James J. Stoker |
Publisher |
: Wiley-Interscience |
Total Pages |
: |
Release |
: 1992 |
ISBN-10 |
: 0470828633 |
ISBN-13 |
: 9780470828632 |
Rating |
: 4/5 (33 Downloads) |
Synopsis Water Waves by : James J. Stoker