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Author: R. Grimshaw
Publisher: WIT Press
ISBN: 1845641574
Category : Science
Languages : en
Pages : 209
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Book Description
Edited by R.H.J. Grimshaw, this book covers the topic of solitary waves in fluids.
Author: R. Grimshaw
Publisher: WIT Press
ISBN: 1845641574
Category : Science
Languages : en
Pages : 209
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Book Description
Edited by R.H.J. Grimshaw, this book covers the topic of solitary waves in fluids.
Author: Claire David
Publisher: Bentham Science Publishers
ISBN: 1608051404
Category : Science
Languages : en
Pages : 267
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Book Description
Since the first description by John Scott Russel in 1834, the solitary wave phenomenon has attracted considerable interests from scientists. The most interesting discovery since then has been the ability to integrate most of the nonlinear wave equations which govern solitary waves, from the Korteweg-de Vries equation to the nonlinear Schrodinger equation, in the 1960's. From that moment, a huge amount of theoretical works can be found on solitary waves. Due to the fact that many physical phenomena can be described by a soliton model, applications have followed each other, in telecommunications
Author: Roger Grimshaw
Publisher: Springer Science & Business Media
ISBN: 0306480247
Category : Science
Languages : en
Pages : 286
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Book Description
The dynamics of flows in density-stratified fluids has been and remains now an important topic for scientific enquiry. Such flows arise in many contexts, ranging from industrial settings to the oceanic and atmospheric environments. It is the latter topic which is the focus of this book. Both the ocean and atmosphere are characterised by the basic vertical density stratification, and this feature can affect the dynamics on all scales ranging from the micro-scale to the planetary scale. The aim of this book is to provide a “state-of-the-art” account of stratified flows as they are relevant to the ocean and atmosphere with a primary focus on meso-scale phenomena; that is, on phenomena whose time and space scales are such that the density stratification is a dominant effect, so that frictional and diffusive effects on the one hand and the effects of the earth’s rotation on the other hand can be regarded as of less importance. This in turn leads to an emphasis on internal waves.
Author: John P. Boyd
Publisher: Springer
ISBN: 9781461558262
Category : Mathematics
Languages : en
Pages : 596
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Book Description
This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Author: Roger Grimshaw
Publisher:
ISBN: 9780868392073
Category : Nonlinear waves
Languages : en
Pages : 52
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Book Description
Author: Philip L. F. Liu
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789810218249
Category : Technology & Engineering
Languages : en
Pages : 315
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Book Description
Most of the Earth's surface is covered by water. Many aspects of our everyday lives and activities may be affected by water waves in some way. Sometimes, the waves can cause disaster. One of the examples was the tsunami that occurred in the Indian Ocean on 26 December 2004. This indicates how important it is for us to fully understand water waves, in particular the very large ones. One way to do so is to perform numerical simulation based on the nonlinear theory. Considerable research advances have been made in this area over the past decade by developing various numerical methods and applying them to emerging problems: however, until now there has been no comprehensive book to reflect these advances. This unique volume aims to bridge this gap.
Author: Roger Grimshaw
Publisher:
ISBN: 9780868393223
Category : Solitons
Languages : en
Pages : 29
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Book Description
Author: Kiyoshi Horikawa
Publisher: Springer Science & Business Media
ISBN: 3642833314
Category : Technology & Engineering
Languages : en
Pages : 457
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Book Description
Non-linear behaviour of water waves has recently drawn much attention of scientists and engineers in the fields of oceanography, applied mathematics, coastal engineering, ocean engineering, naval architecture, and others. The IUTAM Symposium on Non-linear Water Waves was organized with the aim of bringing together researchers who are actively studying non-linear water waves from various viewpoints. The papers contained in this book are related to the generation and deformation of non-linear water waves and the non-linear interaction between waves and bodies. That is, various types of non-linear water waves were analyzed on the basis of various well-known equations, experimental studies on breaking waves were presented, and numerical studies of calculating second-order non-linear wave-body interaction were proposed.
Author: Richard E. Meyer
Publisher: Academic Press
ISBN: 1483265145
Category : Mathematics
Languages : en
Pages : 370
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Book Description
Mathematics Research Center Symposium: Waves on Fluid Interfaces covers the proceedings of a symposium conducted by the Mathematics Research Center of the University of Wisconsin-Madison on October 18-20, 1982. The book focuses on nonlinear instabilities of classical interfaces, physical structure of real interfaces, and the challenges these reactions pose to the understanding of fluids. The selection first elaborates on finite-amplitude interfacial waves, instability of finite-amplitude interfacial waves, and finite-amplitude water waves with surface tension. Discussions focus on reformulation as an integro-differential equation, perturbation solutions, results for interfacial waves with current jump, wave of zero height, weakly nonlinear waves, and numerical methods. The text then takes a look at generalized vortex methods for free-surface flows; a review of solution methods for viscous flow in the presence of deformable boundaries; and existence criteria for fluid interfaces in the absence of gravity. The book ponders on the endothelial interface between tissue and blood, moving contact line, rupture of thin liquid films, film waves, and interfacial instabilities caused by air flow over a thin liquid layer. Topics include stability analysis of liquid film, interpretation of film instabilities, simple film, linear stability theory, inadequacy of the usual hydrodynamic model, and marcomolecule transport across the artery wall. The selection is a valuable source of data for researchers interested in the reactions of waves on fluid interfaces.
Author: Vladimir .I. Petviashvili
Publisher: Routledge
ISBN: 1134307810
Category : Science
Languages : en
Pages : 272
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Book Description
First Published in 1992. This book arose as a result of the authors work on the review ‘Solitary Vortices in Plasmas’ written for the Soviet Journal of Plasma Physics. With the development of nonlinear wave theory some novel concepts came into use, such as solitary waves, solitary vortices, and solitons. There is still some inconsistency in the use of these terms. The study of solitary waves (solitons) should ultimately lead to a better understanding of the internal structure of elementary particles. That is why solitons are attracting great attention from physicists and mathematicians. The material presented in this book shows that solitons are also of interest in plasma physics and geophysics, where these concepts have many important applications.
