6 edition of **Nonlinear water waves** found in the catalog.

- 352 Want to read
- 32 Currently reading

Published
**1994** by Academic Press in Boston .

Written in English

- Water waves.,
- Nonlinear waves.

**Edition Notes**

Includes bibliographical references (p. 489-534) and index.

Statement | Lokenath Debnath. |

Classifications | |
---|---|

LC Classifications | QA927 .D33 1994 |

The Physical Object | |

Pagination | xviii, 544 p. : |

Number of Pages | 544 |

ID Numbers | |

Open Library | OL1417160M |

ISBN 10 | 0122084373 |

LC Control Number | 93026770 |

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Nonlinear water waves book book collects 12 contributions from interdisciplinary researchers working in the field of 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 December 7, Nonlinear Water Waves has Nonlinear water waves book added to your Cart Add to Cart.

Buy Now. Price New from Used from Hardcover "Please retry" $ $ $ Wave motion in water is one of the most striking observable phenomena in nature. Throughout the twentieth century, development of the linearized theory of wave motion in fluids and hydrodynamic Cited by: 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. Purchase Nonlinear Water Waves - 1st Edition. Print Book & E-Book.

ISBNBook Edition: 1. Water waves of large amplitude can only be fully understood in terms of nonlinear effects, linear theory Nonlinear water waves book not adequate for their description. Taking advantage of insights from physical observation, experimental evidence and numerical simulations, classical and modern mathematical approaches can be used to gain insight into their dynamics.

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 Nonlinear water waves book a workshop which was organised Nonlinear water waves book the Erwin Schrödinger International Institute for.

Whitham's book on linear (e.g., sine waves) and nonlinear (e.g., solitons and shocks) waves is a very thorough and well written narrative of the various manifestations of Cited by: This volume brings together four lecture courses on modern aspects of water waves. The intention, through the lectures, is to present quite a range of mathematical ideas, primarily to show what is possible and what, currently, is of particular interest.

Water waves of. Basic Equations of Motion of Inviscid and Viscous Fluids -- 2. The Theory of Surface Waves on Water -- 3.

Transient Wave Motions in an Inviscid Fluid -- 4. Nonlinear Shallow Water Waves and Solitons -- 5. Ship Waves and Wave Resistance -- 6. Nonlinear Diffraction of Water Waves -- 7. The Theory of Nonlinear Dispersive Waves -- 8. About this book Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared indue to the increased use of nonlinear waves.

It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second Nonlinear water waves book dispersive waves. item 2 Nonlinear Water Waves Hardcover Nonlinear water waves book Free Shipping.

2 - Nonlinear Water Waves Hardcover Book Free Shipping. $ Free shipping. About this item. Condition. Good. Nonlinear water waves book Notes.

Former Library book. Shows some signs of wear, and may have some markings on the inside. % Money Back Guarantee. Shipped to over one million happy customers. Nonlinear acoustics (NLA) is a branch of physics and acoustics dealing with sound waves of sufficiently large amplitudes.

Large amplitudes require using full systems of governing equations of fluid dynamics (for sound waves in liquids and gases) and elasticity (for sound waves Nonlinear water waves book solids).

These equations are generally nonlinear, and their traditional linearization is no longer possible. Nonlinear Water Waves by Debnath, Lokenath and a Nonlinear water waves book selection of related books, art and collectibles available now at - Nonlinear Water Waves by Debnath, Lokenath - AbeBooks.

Nonlinear Water Waves: An Interdisciplinary Interface Nonlinear Water Waves. 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.

This is an introductory book about nonlinear waves. It focuses on two properties that various different wave phenomena have in common, the "nonlinearity" and "dispersion", and explains them in a style that is easy to understand for first-time students.

References 3. Basics of linear water waves Dispersion relation Linear. The necessary minimum knowledges about Fourier analysis, perturbation method, dimensional analysis, the governing equations of water waves, etc. are provided in the text and appendices, so even second- or third-year undergraduate students will be able to fully understand the contents of the book and enjoy the fan of nonlinear wave phenomena.

Nonlinear Water Waves. by Adrian Constantin,Joachim Escher,Robin Stanley Johnson,Gabriele Villari. Lecture Notes in Mathematics (Book ) Thanks for Sharing.

You submitted the following rating and review. We'll publish them on our site once we've reviewed : Springer International Publishing. nonlinear equations. In this chapter we introduce some basic concepts and give an overview of the contents of the lecture notes.

Linear waves Sinusoidal waves The ﬁrst encounter with the mathematical theory of waves is usually with cosine (or sine) waves of the form u(x;t)=acos(kx wt):File Size: 1MB. Search in this book series. Nonlinear Ocean Waves and the Inverse Scattering Transform.

Edited by Alfred R. Osborne. Vol Pages () Download full volume. 1 - Brief History and Overview of Nonlinear Water Waves. Alfred R. Airy wave theory uses a potential flow (or velocity potential) approach to describe the motion of gravity waves on a fluid use of – inviscid and irrotational – potential flow in water waves is remarkably successful, given its failure to describe many other fluid flows where it is often essential to take viscosity, vorticity, turbulence and/or flow separation into account.

Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves.

This revolutionary development will allow hyperfast. Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis Manage this Book. This book is the written and somewhat expanded version of the author's lectures delivered at the NSF-CBMS international research conference organized at the Mathematics Department of The University of Texas-Pan American, Edinburg, Texas, USA.

From Linear and Nonlinear Waves in Nanodisordered Photorefractive Ferroelectrics. Author: Giuseppe Di Domenico; Publisher: Springer ISBN: Category: Science Page: View: DOWNLOAD NOW» This book reports new findings in the fields of nonlinear optics, quantum optics and optical microscopy.

Most of the Earth''s surface is covered by water. Our everyday lives and activities are affected by water waves in oceans, such as the tsunami that occurred in the Indian Ocean on 26 December 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. The nonlinear partial differential equation: (1)U t +2kU x +3UU x -U txx =2U x U xx +UU xxx,x∈ℝ,t>0, was derived by Camassa and Holm as a model for the propagation of.

Therefore, this book provides a comprehensive overview of the state-of-the-art research and key achievements in numerical modeling of nonlinear water waves, and serves as a unique reference for postgraduates, researchers and senior engineers working in industry.

The Boussinesq equation is the first model of surface waves in shallow water that considers the nonlinearity and the dispersion and their interaction as a reason for wave stability known as the Boussinesq paradigm.

This balance bears solitary waves that behave like quasi-particles. At present, there are some Boussinesq-like equations. Today, it is known that the KdV equation is generic in the sense that it can be rederived for weakly nonlinear long waves in a wide variety of physics and engineering contexts, not just water waves.

For 70 years after Korteweg and deVries, however, solitary waves were only a curiosity, mentioned in textbooks out of duty rather than conviction. Nonlinear Free Surface Waves Due to a Ship Moving Near the Critical Speed In a ShaBow Water H.-S. Choi, K.J. Bai, I.-W. Kim, I.-H. Cho (Seoul National University, Korea) ABSTRACT This paper describes two methods of solution to the nonlinear free-surface waves generated by a ship moving steadily with a transcritical speed in a shallow water.

Nonlinear water waves with applications to wave-current interactions and tsunamis / Adrian Constantin. -- (CBMS-NSF Regional conference series in applied mathematics ; 81) Includes bibliographical references and index.

ISBN 1. Nonlinear waves. Nonlinear wave equations. Tsunamis--Mathematical models. Title. This volume reviews developments in the mathematical theory of water waves. The following aspects are considered: modeling of various wave systems, The proceedings featured in this book grew out of a conference attended by 40 applied mathematicians and physicists which was held at the Internatinal Center for Research in Mathematics in Luminy Author: Frederic Dias.

Nonlinear Water Waves: Debnath, Lokenath: Books - Skip to main content. Try Prime EN Hello, Sign in Account & Lists Sign in Account & Lists Returns & Orders Try Prime Cart. Books Go Search Hello Select your address Reviews: 1. characteristics and shock waves.

These are meant to be introductory and are abbreviated versions of topics in my book “Linear and nonlinear waves”, which can be consulted for ampliﬁcation. The main content is an entirely new presentation. It is on water waves, with special emphasis on old and new results for waves on a sloping beach.

This book is one step in bringing the science of protection from these events forward, the most in-depth study of its kind ever published. The analytic and numerical modeling problems of nonlinear wave activities in shallow water are analyzed in this work.

The third is on Long Waves in Shallow Water and the fourth is an update on Broad-Banded Nonlinear Surface Waves in the Open Sea to include new findings in this topic. The fifth is an expanded chapter on Numerical Simulation of Nonlinear Wave Dynamics to include predictions of nonlinear spectral evolution and rogue wave occurrence and dynamics.

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. Turning now to the specific advantage of the unified nonlinear shallow-water theory, namely, its capability to account for nonlinear effects of shallow-water waves, Fig.

6 shows instantaneous radial wave profiles normalized by the amplitude of motion of the vertical cylinder for systematically increasing amplitudes a= m (dotted line), a=0. '[This] is an up-to-date teaching resource that will prepare students for work in nonlinear waves as the subject appears today in applications, especially in nonlinear optics.

It is clear that Mark Ablowitz's book is a welcome addition to the literature that will be particularly useful to anyone planning a course on nonlinear waves.'Cited by: Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared indue to the increased use of nonlinear waves.

It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves.

This revolutionary development will allow hyperfast. Buy book. Nonlinear Water Wave Pdf propagation of second-order Stokes waves in a laboratory wave tank, and water wave instability in three-dimensional radiation problems.

Includes an eight page colour section. Covering both practical problems and mathematical methods, Nonlinear Water Wave Interaction will be invaluable to.Nonlinear Crest, Trough, and Wave Height Distributions in Sea States With Double-Peaked Spectra J.

Offshore Mech. Arct. Eng (November, ) Experimental Rotations of a Cited by: 5.Throughout the twentieth century, development of ebook linearized theory of wave motion in fluids and hydrodynamic stability has been steady and significant.

In the last three decades there have been remarkable developments in nonlinear dispersive waves in general, nonlinear water waves in particular, and nonlinear instability phenomena.