Physics And Mathematics Behind Wave Dynamics
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Physics And Mathematics Behind Wave Dynamics
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Author : Sanichiro Yoshida
language : en
Publisher: Springer Nature
Release Date : 2024-08-12
Physics And Mathematics Behind Wave Dynamics written by Sanichiro Yoshida and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-12 with Science categories.
Most physical phenomena exhibit spatiotemporal features interpreted as wave dynamics. Various diagnostic technologies use some waves such as light, sound, and microwaves. A proper understanding of wave dynamics is essential to interpret these physical phenomena and apply the technology efficiently. However, the physics underlying the wave-like behavior of real-world systems is not necessarily straightforward. Often the mathematical description of these physics is hard to understand. Consequently, the interpretation of diagnostic signals is not simple, which sometimes leads to an incorrect diagnosis. This book aims to solve these problems by describing the related topics on a sound physical basis and explaining them intuitively for easy digestion. Presents real-world examples of oscillatory and wave systems to help the reader understand wave dynamics while explaining numerical methods. Explains the physics and mathematics underlying wave dynamics in intuitive fashions.
Physics And Mathematics Behind Wave Dynamics
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Author : Sanichiro Yoshida
language : en
Publisher:
Release Date : 2025
Physics And Mathematics Behind Wave Dynamics written by Sanichiro Yoshida and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with Mathematics--Data processing categories.
Wave Propagation In Electromagnetic Media
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Author : Julian L. Davis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Wave Propagation In Electromagnetic Media written by Julian L. Davis 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 2012-12-06 with Science categories.
This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids). This book is concerned with wave propagation in reacting media-specifically, in electro magnetic materials. Since these volumes were designed to be relatively self contained, we have taken the liberty of adapting some of the pertinent material, especially in the theory of hyperbolic partial differential equations (concerned with electromagnetic wave propagation), variational methods, and Hamilton-Jacobi theory, to the phenomena of electromagnetic waves. The purpose of this volume is similar to that of the first, except that here we are dealing with electromagnetic waves. We attempt to present a clear and systematic account of the mathematical methods of wave phenomena in electromagnetic materials that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical tech niques, and on showing how these methods of mathematical physics can be effective in unifying the physics of wave propagation in electromagnetic media. Chapter 1 presents the theory of time-varying electromagnetic fields, which involves a discussion of Faraday's laws, Maxwell's equations, and their appli cations to electromagnetic wave propagation under a variety of conditions.
A Modern Introduction To The Mathematical Theory Of Water Waves
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Author : R. S. Johnson
language : en
Publisher: Cambridge University Press
Release Date : 1997-10-28
A Modern Introduction To The Mathematical Theory Of Water Waves written by R. S. 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 Science categories.
For over a hundred years, the theory of water waves has been a source of intriguing and often difficult mathematical problems. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and nonlinear water-wave theory. This sets the stage for a study of more modern aspects, problems that give rise to soliton-type equations. The book closes with an introduction to the effects of viscosity. All the mathematical developments are presented in the most straightforward manner, with worked examples and simple cases carefully explained. Exercises, further reading, and historical notes on some of the important characters in the field round off the book and make this an ideal text for a beginning graduate course on water waves.
The Applied Dynamics Of Ocean Surface Waves
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Author : Chiang C. Mei
language : en
Publisher: World Scientific
Release Date : 1989
The Applied Dynamics Of Ocean Surface Waves written by Chiang C. Mei and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.
The aim of this book is to present selected theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering, all from the deterministic point of view. The bulk of the material deals with the linearized theory.
Fundamentals Of Acoustic Waves And Applications
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Author : Sanichiro Yoshida
language : en
Publisher: Springer Nature
Release Date : 2024-03-01
Fundamentals Of Acoustic Waves And Applications written by Sanichiro Yoshida and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-01 with Science categories.
This book discusses acoustic waves in five chapters. Chapter 1 reviews the general properties of waves. Chapter 2 presents the acoustic waves in fluid and solids, including the wave equations in the respective media. Chapter 3 discusses the propagation of audible acoustic waves in the air. The discussion includes analyses of speech and music we hear in the time and frequency domains. Chapter 4 discusses the propagation of acoustic waves in solids. Unlike in the air, sound waves take complicated forms in solids; they can be both in longitudinal and transverse modes, and mode conversions can occur upon reflection. Although these behaviors make the analysis difficult, we can apply them to engineering problems. Chapter 5 describes the transduction of acoustic signals. It presents acoustic transmitters and sensors along with their operation principles. Finally, Chapter 6 presents several techniques used in engineering. It is also useful to consider applying acoustic and optical techniques to engineering problems.
Ocean Surface Waves
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Author : Stanislaw R. Massel
language : en
Publisher: World Scientific
Release Date : 1996
Ocean Surface Waves written by Stanislaw R. Massel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
This book is intended as a handbook for professionals and researchers in the areas of Physical Oceanography, Ocean and Coastal Engineering and as a text for graduate students in these fields. It presents a comprehensive study on surface ocean waves induced by wind, including basic mathematical principles, physical description of the observed phenomena, practical forecasting techniques of various wave parameters and applications in ocean and coastal engineering, all from the probabilistic and spectral points of view. The book commences with a description of mechanisms of surface wave generation by wind and its modern modeling techniques. The stochastic and probabilistic terminology is introduced and the basic statistical and spectral properties of ocean waves are developed and discussed in detail. The bulk of material deals with the prediction techniques for waves in deep and coastal waters for simple and complex ocean basins and complex bathymetry. The various prediction methods, currently used in oceanography and ocean engineering, are described and the examples of practical calculations illustrate the basic text. An appendix provides a description of the modern methods of wave measurement, including the remote sensing techniques. Also the wave simulation methods and random data analysis techniques are discussed. In the book a lot of discoveries of the Russian and East European scientists, largely unknown in the Western literature due to the language barrier, are referred to.
Nonlinear Dynamics
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Author : H.G Solari
language : en
Publisher: CRC Press
Release Date : 1996-01-01
Nonlinear Dynamics written by H.G Solari and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Science categories.
Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and worked examples to test understanding.
The Mathematical Theory Of Permanent Progressive Water Waves
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Author : Hisashi Okamoto
language : en
Publisher: World Scientific
Release Date : 2001
The Mathematical Theory Of Permanent Progressive Water Waves written by Hisashi Okamoto and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 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.
Advances In Mathematical And Computational Modeling Of Engineering Systems
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Author : Mukesh Kumar Awasthi
language : en
Publisher: CRC Press
Release Date : 2023-02-20
Advances In Mathematical And Computational Modeling Of Engineering Systems written by Mukesh Kumar Awasthi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-20 with Computers categories.
The text covers a wide range of topics such as mathematical modeling of crop pest control management, water resources management, impact of anthropogenic activities on atmospheric carbon dioxide concentrations, impact of climate changes on melting of glaciers and polar bear populations, dynamics of slow–fast predator-prey system and spread and control of HIV epidemic. It emphasizes the use of mathematical modeling to investigate the fluid flow problems including the breaking of viscoelastic jet, instability arising in nanofiber, flow in an annulus channel, and thermal instability in nano-fluids in a comprehensive manner. This book will be a readily accessible source of information for the students, researchers and policymakers interested in the application of mathematical and computational modeling techniques to investigate various biological and engineering phenomena. Features Focuses on the current modeling and computational trends to investigate various ecological, epidemiological, and engineering systems. Presents the mathematical modeling of a wide range of ecological and environmental issues including crop pest control management, water resources management, the effect of anthropogenic activities on atmospheric carbon dioxide concentrations, and impact of climate changes on melting of glaciers and polar bear population. Covers a wide range of topics including the breaking of viscoelastic jet, instability arising in nanofiber, flow in an annulus channel, and thermal instability in nano-fluids. Examines evolutionary models i.e., models of time-varying processes. Highlights the recent developments in the analytical methods to investigate the nonlinear dynamical systems. Showcases diversified applications of computational techniques to solve practical biological and engineering problems. The book focuses on the recent research developments in the mathematical modeling and scientific computing of biological and engineering systems. It will serve as an ideal reference text for senior undergraduate, graduate students, and researchers in diverse fields including ecological engineering, environmental engineering, computer engineering, mechanical engineering, mathematics, and fluid dynamics.