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Waves In Fluids And Solids
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Book Synopsis Wave Propagation in Electromagnetic Media by : Julian L. Davis
Download or read book Wave Propagation in Electromagnetic Media written by Julian L. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Waves in Fluids and Solids by : Fred Gajos
Download or read book Waves in Fluids and Solids written by Fred Gajos and published by . This book was released on 2016-10-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave propagation is any of the ways in which waves travel. With respect to the direction of the oscillation relative to the propagation direction, we can distinguish between longitudinal wave and transverse waves. For electromagnetic waves, propagation may occur in a vacuum as well as in a material medium. Other wave types cannot propagate through a vacuum and need a transmission medium to exist. Mechanical waves are waves which propagate through a material medium (solid, liquid, or gas) at a wave speed which depends on the elastic and inertial properties of that medium. Waves in Fluids and Solids is intended to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures. This book is focused on acoustic waves in fluid media and elastic perturbations in heterogeneous media. Many different systems are analyzed in this book like layered media, solitons, piezoelectric substrates, crystalline systems, granular materials, interface waves, phononic crystals, acoustic levitation and soft media.
Book Synopsis Wave Propagation in Solids and Fluids by : Julian L. Davis
Download or read book Wave Propagation in Solids and Fluids written by Julian L. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc.
Book Synopsis Introduction to Wave Propagation in Nonlinear Fluids and Solids by : D. S. Drumheller
Download or read book Introduction to Wave Propagation in Nonlinear Fluids and Solids written by D. S. Drumheller and published by Cambridge University Press. This book was released on 1998-02-13 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves occur widely in nature and have innumerable commercial uses. Pressure waves are responsible for the transmission of speech, bow waves created by meteors can virtually ignite the earth's atmosphere, ultrasonic waves are used for medical imaging, and shock waves are used for the synthesis of new materials. This book provides a thorough, modern introduction to the study of linear and nonlinear waves. Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models. It covers gases, liquids, and solids as integral parts of the subject. Among the important areas of research and application are impact analysis, shock wave research, explosive detonation, nonlinear acoustics, and hypersonic aerodynamics. Graduate students, as well as professional engineers and applied physicists, will value this clear, comprehensive introduction to the study of wave phenomena.
Book Synopsis Stability and Wave Propagation in Fluids and Solids by : Giovanni P. Galdi
Download or read book Stability and Wave Propagation in Fluids and Solids written by Giovanni P. Galdi and published by Springer. This book was released on 2014-10-08 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The content of the volume is constituted by four articles. The first concerns the theory of propagation of plane waves in elastic media. The second treats theoretically the linear, weakly non-linear, and non-linear stability of flows of a viscous incompressible fluid in a diverging channel. The third lecture investigates the mathematical properties of the equations governing the motion of a viscous incompressible second-grade fluid, such as existence, uniqueness of classical solutions and stability of steady-state flows. The last lecture provides some basic results on wave propagation in continuum models. The objective of this book is to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures.
Book Synopsis Elastic Waves in Solids I by : DANIEL ROYER
Download or read book Elastic Waves in Solids I written by DANIEL ROYER and published by Springer Science & Business Media. This book was released on 1999-11-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic waves possess some remarkable properties and have become ever more important to applications in fields such as telecommunications (signal processing), medicine (echography), and metallurgy (non-destructive testing). These volumes serve as a bridge between basic books on wave phenomena and more technically oriented books on specific applications of wave phenomena. The first volume studies the different mechanisms of propagation in isotropic and anisotropic media. The second volume describes the generation and applications of free and guided waves.
Book Synopsis Waves in Fluids by : Sir M. J. Lighthill
Download or read book Waves in Fluids written by Sir M. J. Lighthill and published by Cambridge University Press. This book was released on 2001-11-15 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive textbook in which the author describes the science of waves in liquids and gases. Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, waterwaves of all kinds, and the so-called internal waves (inside atmospheres and oceans) due to intensity stratification. Emphasis throughout is on the most generally useful fundamental ideas of wave science, including the principles of how waves interact with flows. This standard work on one of the great subdivisions of the dynamics of fluids is lucidly written and will be invaluable to engineers, physicists, geophysicists, applied mathematicians or any research worker concerned with wave motions or fluid fllows. It is especially suitable as a textbook for courses at the final year undergraduate or graduate level.
Book Synopsis Introduction to the Physics of Fluids and Solids by : J. S. Trefil
Download or read book Introduction to the Physics of Fluids and Solids written by J. S. Trefil and published by Elsevier. This book was released on 2013-11-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Physics of Fluids and Solids presents a way to learn continuum mechanics without mastering any other systems. It discusses an introduction to the principles of fluid mechanics. Another focus of study is the fluids in astrophysics. Some of the topics covered in the book are the rotation of the galaxy, the concept of stability, the fluids in motion, and the waves in fluids, the theory of the tides, the vibrations of the earth, and nuclear fission. The viscosity in fluids is covered. The flow of viscous fluids is discussed. The text identifies the general circulation of the atmosphere. An analysis of the general properties of solids is presented. A chapter of the volume is devoted to the applications of seismology. Another section of the book focuses on the flow of the blood and the urinary drop spectrometer. The book will provide useful information to doctors, physicists, engineers, students and researchers.
Book Synopsis Inhomogeneous Waves In Solids And Fluids by : Giacomo Caviglia
Download or read book Inhomogeneous Waves In Solids And Fluids written by Giacomo Caviglia and published by World Scientific. This book was released on 1992-10-09 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book may be viewed as an introduction to time-harmonic waves in dissipative bodies, notably viscoelastic solids and fluids. The inhomogeneity of the waves, which is due to the fact that planes of constant phase are not parallel to planes of constant amplitude, is shown to be strictly related to the dissipativity of the medium. A preliminary analysis is performed on the propagation of inhomogeneous waves in unbounded media and of reflection and refraction at plane interfaces. Then emphasis is given to those features that are of significance for applications. In essence, they regard surface waves, scattering by (curved) obstacles, wave propagation in layered heterogeneous media, and ray methods. The pertinent mathematical techniques are discussed so as to make the book reasonably self-contained.
Download or read book Waves in Fluids and Solids written by and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inhomogeneous Waves in Solids and Fluids by : Giacomo Caviglia
Download or read book Inhomogeneous Waves in Solids and Fluids written by Giacomo Caviglia and published by World Scientific. This book was released on 1992 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book may be viewed as an introduction to time-harmonic waves in dissipative bodies, notably viscoelastic solids and fluids. The inhomogeneity of the waves, which is due to the fact that planes of constant phase are not parallel to planes of constant amplitude, is shown to be strictly related to the dissipativity of the medium. A preliminary analysis is performed on the propagation of inhomogeneous waves in unbounded media and of reflection and refraction at plane interfaces. Then emphasis is given to those features that are of significance for applications. In essence, they regard surface waves, scattering by (curved) obstacles, wave propagation in layered heterogeneous media, and ray methods. The pertinent mathematical techniques are discussed so as to make the book reasonably self-contained.
Book Synopsis Stability and Wave Propagation in Fluids and Solids by : International Centre for Mechanical Sciences
Download or read book Stability and Wave Propagation in Fluids and Solids written by International Centre for Mechanical Sciences and published by Springer. This book was released on 1995-04-06 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The content of the volume is constituted by four articles. The first concerns the theory of propagation of plane waves in elastic media. The second treats theoretically the linear, weakly non-linear, and non-linear stability of flows of a viscous incompressible fluid in a diverging channel. The third lecture investigates the mathematical properties of the equations governing the motion of a viscous incompressible second-grade fluid, such as existence, uniqueness of classical solutions and stability of steady-state flows. The last lecture provides some basic results on wave propagation in continuum models. The objective of this book is to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures.
Book Synopsis Applied Wave Mathematics II by : Arkadi Berezovski
Download or read book Applied Wave Mathematics II written by Arkadi Berezovski and published by Springer Nature. This book was released on 2019-11-16 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.
Book Synopsis Wave Motion in Elastic Solids by : Karl F. Graff
Download or read book Wave Motion in Elastic Solids written by Karl F. Graff and published by Courier Corporation. This book was released on 2012-04-26 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained coverage of topics ranging from elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Over 100 problems.
Book Synopsis Harmonic Waves in a Fluid-solid Waveguide by : Carlos Ludwig Yapura
Download or read book Harmonic Waves in a Fluid-solid Waveguide written by Carlos Ludwig Yapura and published by . This book was released on 1992 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applied Wave Mathematics by : Ewald Quak
Download or read book Applied Wave Mathematics written by Ewald Quak and published by Springer Science & Business Media. This book was released on 2009-08-29 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume consists of twelve contributions related to the EU Marie Curie Transfer of Knowledge Project Cooperation of Estonian and Norwegian Scienti c Centres within Mathematics and its Applications, CENS-CMA (2005-2009), - der contract MTKD-CT-2004-013909, which ?nanced exchange visits to and from CENS, the Centre for Nonlinear Studies at the Institute of Cybernetics of Tallinn University of Technology in Estonia. Seven contributions describe research highlights of CENS members, two the work of members of CMA, the Centre of Mathematics for Applications,Univ- sity of Oslo, Norway, as the partner institution of CENS in the Marie Curie project, and three the ?eld of work of foreign research fellows, who visited CENS as part of theproject. Thestructureofthebookre?ectsthedistributionofthetopicsaddressed: Part I Waves in Solids Part II Mesoscopic Theory Part III Exploiting the Dissipation Inequality Part IV Waves in Fluids Part V Mathematical Methods The papers are written in a tutorial style, intended for non-specialist researchers and students, where the authors communicate their own experiences in tackling a problem that is currently of interest in the scienti?c community. The goal was to produce a book, which highlights the importance of applied mathematics and which can be used for educational purposes, such as material for a course or a seminar. To ensure the scienti?c quality of the contributions, each paper was carefully - viewed by two international experts. Special thanks go to all authors and referees, without whom making this book would not have been possible.
Book Synopsis Scattering of transient acoustic waves in fluids and solids by : Gerard Cornelis Herman
Download or read book Scattering of transient acoustic waves in fluids and solids written by Gerard Cornelis Herman and published by . This book was released on 1981 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt:
