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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.

Water Wave Scattering

2015-05-21 Mathematics
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Release : 2015-05-21
Genre : Mathematics
Kind : eBook
Book Rating : 537/5 ( reviews)

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Book Synopsis Water Wave Scattering by : Birendra Nath Mandal

Download or read book Water Wave Scattering written by Birendra Nath Mandal. This book was released on 2015-05-21. Available in PDF, EPUB and Kindle. Book excerpt: The theory of water waves is most varied and is a fascinating topic. It includes a wide range of natural phenomena in oceans, rivers, and lakes. It is mostly concerned with elucidation of some general aspects of wave motion including the prediction of behaviour of waves in the presence of obstacles of some special configurations that are of interes

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.

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.

A Modern Introduction to the Mathematical Theory of Water Waves

1997-10-28 Mathematics
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Release : 1997-10-28
Genre : Mathematics
Kind : eBook
Book Rating : 323/5 ( reviews)

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Book Synopsis A Modern Introduction to the Mathematical Theory of Water Waves by : Robin Stanley Johnson

Download or read book A Modern Introduction to the Mathematical Theory of Water Waves written by Robin Stanley Johnson. This book was released on 1997-10-28. Available in PDF, EPUB and Kindle. Book excerpt: This text considers classical and modern problems in linear and non-linear water-wave theory.

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