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A Modern Introduction To The Mathematical Theory Of Water Waves


A Modern Introduction To The Mathematical Theory Of Water Waves
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A Modern Introduction To The Mathematical Theory Of Water Waves


A Modern Introduction To The Mathematical Theory Of Water Waves
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Author : Robin Stanley Johnson
language : en
Publisher: Cambridge University Press
Release Date : 1997-10-28

A Modern Introduction To The Mathematical Theory Of Water Waves written by Robin Stanley Johnson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-28 with Mathematics categories.


This text considers classical and modern problems in linear and non-linear water-wave theory.



The Mathematical Theory Of Permanent Progressive Water Waves


The Mathematical Theory Of Permanent Progressive Water Waves
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Author : Hisashi Okamoto
language : en
Publisher: World Scientific Publishing Company
Release Date : 2001-09-28

The Mathematical Theory Of Permanent Progressive Water Waves written by Hisashi Okamoto and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-28 with Mathematics categories.


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.



Lectures On The Theory Of Water Waves


Lectures On The Theory Of Water Waves
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Author : Thomas J. Bridges
language : en
Publisher: Cambridge University Press
Release Date : 2016-02-04

Lectures On The Theory Of Water Waves written by Thomas J. Bridges and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-04 with Mathematics categories.


A range of experts contribute introductory-level lectures on active topics in the theory of water waves.



Nonlinear Water Waves


Nonlinear Water Waves
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Author : Adrian Constantin
language : en
Publisher: Springer
Release Date : 2016-06-28

Nonlinear Water Waves written by Adrian Constantin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-28 with Mathematics categories.


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 large amplitude can only be fully understood in terms of nonlinear effects, linear theory being 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. The book presents several avenues and offers a wide range of material of current interest. The lectures provide a useful source for those who want to begin to investigate how mathematics can be used to improve our understanding of water wave phenomena. In addition, some of the material can be used by those who are already familiar with one branch of the study of water waves, to learn more about other areas.



Nonlinear Water Waves With Applications To Wave Current Interactions And Tsunamis


Nonlinear Water Waves With Applications To Wave Current Interactions And Tsunamis
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Author : Adrian Constantin
language : en
Publisher: SIAM
Release Date : 2011-01-01

Nonlinear Water Waves With Applications To Wave Current Interactions And Tsunamis written by Adrian Constantin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.


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.



The Water Waves Problem


The Water Waves Problem
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Author : David Lannes
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-05-08

The Water Waves Problem written by David Lannes and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-08 with Mathematics categories.


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.



Journal Of Nonlinear Mathematical Physics Vol 14


Journal Of Nonlinear Mathematical Physics Vol 14
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Author :
language : en
Publisher: atlantis press
Release Date :

Journal Of Nonlinear Mathematical Physics Vol 14 written by and has been published by atlantis press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Journal Of Nonlinear Mathematical Physics


Journal Of Nonlinear Mathematical Physics
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Author :
language : en
Publisher: atlantis press
Release Date :

Journal Of Nonlinear Mathematical Physics written by and has been published by atlantis press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




New Approaches To Nonlinear Waves


New Approaches To Nonlinear Waves
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Author : Elena Tobisch
language : en
Publisher: Springer
Release Date : 2015-08-19

New Approaches To Nonlinear Waves written by Elena Tobisch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-19 with Science categories.


The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. Two chapters are devoted to wave systems possessing resonances with linear frequencies (Chapter 2) and with nonlinear frequencies (Chapter 3). In the next two chapters modulation instability in the KdV-type of equations is studied using rigorous mathematical methods (Chapter 4) and its possible connection to freak waves is investigated (Chapter 5). The book goes on to demonstrate how the choice of the Hamiltonian (Chapter 6) or the Lagrangian (Chapter 7) framework allows us to gain a deeper insight into the properties of a specific wave system. The final chapter discusses problems encountered when attempting to verify the theoretical predictions using numerical or laboratory experiments. All the chapters are illustrated by ample constructive examples demonstrating the applicability of these novel methods and approaches to a wide class of evolutionary dispersive PDEs, e.g. equations from Benjamin-Oro, Boussinesq, Hasegawa-Mima, KdV-type, Klein-Gordon, NLS-type, Serre, Shamel , Whitham and Zakharov. This makes the book interesting for professionals in the fields of nonlinear physics, applied mathematics and fluid mechanics as well as students who are studying these subjects. The book can also be used as a basis for a one-semester lecture course in applied mathematics or mathematical physics.



Elliptic And Parabolic Equations


Elliptic And Parabolic Equations
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Author : Joachim Escher
language : en
Publisher: Springer
Release Date : 2015-06-04

Elliptic And Parabolic Equations written by Joachim Escher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-04 with Mathematics categories.


The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations. Particular emphasis was put on the interaction between well-established scientists and emerging young mathematicians, as well as on exploring new connections between pure and applied mathematics. The volume contains material derived after the workshop taking up the impetus to continue collaboration and to incorporate additional new results and insights.