Lectures On The Theory Of Water Waves
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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.
Tableaux Anciens Et Modernes Dessins Et Sculptures
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Author :
language : en
Publisher:
Release Date : 1872
Tableaux Anciens Et Modernes Dessins Et Sculptures written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1872 with categories.
Nonlinear Water Waves
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Author : David Henry
language : en
Publisher: Springer Nature
Release Date : 2019-11-27
Nonlinear Water Waves written by David Henry and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-27 with Mathematics categories.
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.
The Mathematics Of Marine Modelling
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Author : Henk Schuttelaars
language : en
Publisher: Springer Nature
Release Date : 2022-11-30
The Mathematics Of Marine Modelling written by Henk Schuttelaars and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-30 with Mathematics categories.
Over the past few decades, numerical simulation has become instrumental in understanding the dynamics of seas, coastal regions and estuaries. The decision makers rely more and more frequently on model results for the management of these regions. Some modellers are insufficiently aware of the theoretical underpinning of the simulation tools they are using. On the other hand, a number of applied mathematicians tend to view marine sciences as a domain in which they would like to use the tools they have a good command of. Bridging the gap between model users and applied mathematicians is the main objective of the present book. In this respect a vast number of issues in which mathematics plays a crucial role will be addressed.
Linear Water Waves
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Author : Nikolaĭ Germanovich Kuznet︠s︡ov
language : en
Publisher: Cambridge University Press
Release Date : 2002-07-11
Linear Water Waves written by Nikolaĭ Germanovich Kuznet︠s︡ov 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 2002-07-11 with Mathematics categories.
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 applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with time-harmonic waves. Three linear boundary value problems serve as the approximate mathematical models for these types of water waves. The next section uses a plethora of mathematical techniques in the investigation of these three problems. The techniques used in the book include integral equations based on Green's functions, various inequalities between the kinetic and potential energy and integral identities which are indispensable for proving the uniqueness theorems. The so-called inverse procedure is applied to constructing examples of non-uniqueness, usually referred to as 'trapped nodes.'
Nonlinear Water Waves With Applications To Wave Current Interactions And Tsunamis
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Author : Adrian Constantin
language : en
Publisher: SIAM
Release Date : 2011-12-01
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 2011-12-01 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 book is intended for mathematicians, physicists and engineers interested in the interplay between physical concepts and insights and the mathematical ideas and methods that are relevant to specific water-wave phenomena. 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.
Peyresq Lectures On Nonlinear Phenomena
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Author : Robin Kaiser
language : en
Publisher: World Scientific
Release Date : 2000
Peyresq Lectures On Nonlinear Phenomena written by Robin Kaiser and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.
" ... a compilation of lecture notes on various topics in nonlinear physics delivered by specialists during the summer schools organized by the Institut Non Linéaire de Nice (INLN) in Peyresq (French Alps of Provence) since 1998. The first volume, edited by R. Kaiser and J. Montaldi, contains courses from the years 1998 and 1999. This volume collects notes of the lectures given from the summers of 2000, 2001 and 2002"--Preface, v. 2.
Spectroscopy Diffraction And Tomography In Art And Heritage Science
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Author : Mieke Adriaens
language : en
Publisher: Elsevier
Release Date : 2021-07-03
Spectroscopy Diffraction And Tomography In Art And Heritage Science written by Mieke Adriaens and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-03 with Science categories.
Spectroscopy, Diffraction and Tomography in Art and Heritage Science gives an overview of the main spectroscopy and diffraction techniques currently available for cultural heritage research. It starts with an introductory, general discussion of spectroscopy and diffraction and the kinds of information they can give. Further sections deal with, respectively, typical laboratory methods, mobile equipment, and large-scale instruments and infrastructural methods. The work concludes with comments on combining and comparing multiple techniques, sources of error, and limitations of the analytical methods. - Explains spectroscopy and diffraction techniques in detail, yet remains accessible to those without a chemistry or physics background - Provides explanations of commonly used terms, such as destructive, non-destructive, non-invasive, in-situ, and ex-situ, and their sometimes-misleading origins - Includes real-world examples that demonstrate how each technique is used in the field - Highlights the complementary use of different analytical techniques in fully interpreting the data
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.
Water Waves And Ship Hydrodynamics
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Author : A.J. Hermans
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-21
Water Waves And Ship Hydrodynamics written by A.J. Hermans and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-21 with Technology & Engineering categories.
In this book an introduction is given to aspects of water waves that play a role in ship hydrodynamics and offshore engineering. At first the equations and linearized boundary conditions are derived describing the non-viscous free surface water waves, with special attention to the combination of steady and non-steady flow fields. Then some simple kinds of free wave solutions are derived, such as plane waves and cylindrical waves. For several situations, steady and unsteady, the source singularity function is derived. These functions play a role in numerical codes used to describe the motion of ships and offshore structures. These codes are mostly based on a boundary integral formulation; therefore we give an introduction to these methods. It is shown how first order ship motions can be determined. In offshore engineering the second order wave drift motions play an important role. An introduction to this phenomenon is given and the effects which have to be taken into account are explained by means of a simple example where we can determine nearly all the aspects analytically. An interesting example that is worked out is the motion of very large floating flexible platforms with finite draft. Finally an introduction to the theory of shallow water non-linear dispersive waves is presented, and shallow water ship hydrodynamics, that plays a role in coastal areas and channels is treated. Here attention is paid to the interaction between passing ships in restricted water. In the appendix a short introduction to some of the mathematical tools is given.