Download or read book Waves in Continuous Media written by S. L. Gavrilyuk and published by Springer. This book was released on 2017-01-27 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants and conservation laws for quasilinear systems of equations, construct and analyze solutions with weak or strong discontinuities, and how to investigate equations with dispersion and to construct travelling wave solutions for models reducible to nonlinear evolution equations. Chapter 3 deals with surface and internal waves in an incompressible fluid. The efficiency of mathematical methods is demonstrated on a hierarchy of approximate submodels generated from the Euler equations of homogeneous and non-homogeneous fluids. The self-contained presentations of the material is complemented by 200+ problems of different level of difficulty, numerous illustrations, and bibliographical recommendations.
Download or read book Physics of Continuous Media written by Grigory Vekstein and published by CRC Press. This book was released on 1992-01-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics of Continuous Media: A Collection of Problems with Solutions for Physics Students contains a set of problems with detailed and rigorous solutions. Aimed at undergraduate and postgraduate students in physics and applied mathematics, the book is a complementary text for standard courses on the physics of continuous media. With its assortment of standard problems for beginners, variations on a theme, and original problems based on new trends and theories in the physics under investigation, this book aids in the understanding of practical aspects of the subject. Topics discussed include vectors, tensors, and Fourier transformations; dielectric waves in media; natural optical activity; Cherenkov radiation; nonlinear interaction of waves; dynamics of ideal fluids and the motion of viscous fluids; convection; turbulence and acoustic and shock waves; the theory of elasticity; and the mechanics of liquid crystals.
Download or read book Waves And Stability In Continuous Media Proceedings Of The 12th Conference On Wascom 2003 written by Roberto Monaco and published by World Scientific. This book was released on 2004-04-16 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains about 20 invited papers and 40 contributed papers in the research areas of theoretical continuum mechanics, kinetic theory and numerical applications of continuum mechanics. Collectively these papers give a good overview of the activities and developments in these fields in the last few years.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences
Download or read book Waves And Stability In Continuous Media Proceedings Of The Vii Conference written by Salvatore Rionero and published by World Scientific. This book was released on 1994-10-24 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an up-to-date overview of some of the most important topics in waves and stability in continuous media. The topics are: Discontinuity and Shock Waves; Linear and Non-Linear Stability in Fluid Dynamics; Kinetic Theories and Comparison with Continuum Models; Propagation and Non-Equilibrium Thermodynamics; and Numerical Applications.
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.
Download or read book Electrodynamics of Continuous Media written by L D Landau and published by Elsevier. This book was released on 2013-10-22 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the theory of electromagnetic fields in matter, and the theory of the macroscopic electric and magnetic properties of matter. There is a considerable amount of new material particularly on the theory of the magnetic properties of matter and the theory of optical phenomena with new chapters on spatial dispersion and non-linear optics. The chapters on ferromagnetism and antiferromagnetism and on magnetohydrodynamics have been substantially enlarged and eight other chapters have additional sections.
Download or read book Vibrations and Waves in Continuous Mechanical Systems written by Peter Hagedorn and published by John Wiley & Sons. This book was released on 2007-10-22 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of vibrations is of fundamental importance in engineering and technology. Discrete modelling is sufficient to understand the dynamics of many vibrating systems; however a large number of vibration phenomena are far more easily understood when modelled as continuous systems. The theory of vibrations in continuous systems is crucial to the understanding of engineering problems in areas as diverse as automotive brakes, overhead transmission lines, liquid filled tanks, ultrasonic testing or room acoustics. Starting from an elementary level, Vibrations and Waves in Continuous Mechanical Systems helps develop a comprehensive understanding of the theory of these systems and the tools with which to analyse them, before progressing to more advanced topics. Presents dynamics and analysis techniques for a wide range of continuous systems including strings, bars, beams, membranes, plates, fluids and elastic bodies in one, two and three dimensions. Covers special topics such as the interaction of discrete and continuous systems, vibrations in translating media, and sound emission from vibrating surfaces, among others. Develops the reader’s understanding by progressing from very simple results to more complex analysis without skipping the key steps in the derivations. Offers a number of new topics and exercises that form essential steppingstones to the present level of research in the field. Includes exercises at the end of the chapters based on both the academic and practical experience of the authors. Vibrations and Waves in Continuous Mechanical Systems provides a first course on the vibrations of continuous systems that will be suitable for students of continuous system dynamics, at senior undergraduate and graduate levels, in mechanical, civil and aerospace engineering. It will also appeal to researchers developing theory and analysis within the field.
Download or read book Physics of Continuous Media written by G.E. Vekstein and published by CRC Press. This book was released on 2020-11-26 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is based on lectures and tutorials given for several years at the Physics Department of Novosibirsk State University. It is constructed as a set of problems followed by detailed solutions and may act as a complementary text for standard courses on the physics of continuous media.
Download or read book Physics of Continuous Media written by Grigory Vekstein and published by CRC Press. This book was released on 2013-03-07 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the author’s many years of lectures and tutorials at Novosibirsk State University and the University of Manchester, Physics of Continuous Media: Problems and Solutions in Electromagnetism, Fluid Mechanics and MHD, Second Edition takes a problems-based approach to teaching continuous media. The book’s problems and detailed solutions make it an ideal companion text for advanced physics and engineering courses. Suitable for any core physics program, this revised and expanded edition includes a new chapter on magnetohydrodynamics as well as additional problems and more detailed solutions. Each chapter begins with a summary of the definitions and equations that are necessary to understand and tackle the problems that follow. The text also provides numerous references throughout, including Landau and Lifshitz’s famous course of theoretical physics and original journal publications.
Download or read book Mechanics of Continuous Media written by L. I. Sedov and published by World Scientific Publishing Company Incorporated. This book was released on 1996-06 with total page 1368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is written by Academician Sedov who is considered by many as the leading scientist in mechanics in the USSR. This latest fourth edition helps the reader in a relatively short time to master and acquire fully the essence of many geometrical and mechanical theories.
Download or read book The Topology of 4 Manifolds written by Robion C. Kirby and published by Springer. This book was released on 2006-11-14 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are new or are returbishings of post proofs; all are geometric and make us of handlebody theory. There is a new proof of Rohlin's theorem using spin structures. There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions. The book should be useful to beginning researchers in 4-manifolds.
Download or read book Unsteady Motion of Continuous Media written by K. P. Stanyukovich and published by Elsevier. This book was released on 2016-01-21 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unsteady Motion of Continuous Media covers the technical applications in the study of rapidly occurring processes in unsteady motion of continuous media. This 15-chapter text focuses on the detonation and explosion processes. The introductory chapters review the mathematical and thermodynamic methods of gas dynamics, as well as the fundamental equations of non-stationary gas dynamics. The succeeding chapters deal with the concept of self-similar motion, solutions of equations, one-dimensional isentropic motions, and the elementary theory of shock waves. Considerable chapters are devoted to the mechanisms and principles of detonation wave, its propagation and unsteady motion in condensed media. These topics are followed by discussions of the propulsion of bodies by a gas stream; the motion of gas in a gravitational field; and the limiting motion of rarefield and very dense media. The concluding chapter presents some problems in the relativistic mechanics of solid medium. This book will prove useful to physicists, applied mathematicians, and chemical engineers.
Download or read book Hydrodynamics of Time Periodic Groundwater Flow written by Joe S. Depner and published by John Wiley & Sons. This book was released on 2016-12-19 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hydrodynamics of Time-Periodic Groundwater Flow introduces the emerging topic of periodic fluctuations in groundwater. While classical hydrology has often focused on steady flow conditions, many systems display periodic behavior due to tidal, seasonal, annual, and human influences. Describing and quantifying subsurface hydraulic responses to these influences may be challenging to those who are unfamiliar with periodically forced groundwater systems. The goal of this volume is to present a clear and accessible mathematical introduction to the basic and advanced theory of time-periodic groundwater flow, which is essential for developing a comprehensive knowledge of groundwater hydraulics and groundwater hydrology. Volume highlights include: Overview of time-periodic forcing of groundwater systems Definition of the Boundary Value Problem for harmonic systems in space and time Examples of 1-, 2-, and 3-dimensional flow in various media Attenuation, delay, and gradients, stationary points and flow stagnation Wave propagation and energy transport Hydrodynamics of Time-Periodic Groundwater Flow presents numerous examples and exercises to reinforce the essential elements of the theoretical development, and thus is eminently well suited for self-directed study by undergraduate and graduate students. This volume will be a valuable resource for professionals in Earth and environmental sciences who develop groundwater models., including in the fields of groundwater hydrology, soil physics, hydrogeology, geoscience, geophysics, and geochemistry. Time-periodic phenomena are also encountered in fields other than groundwater flow, such as electronics, heat transport, and chemical diffusion. Thus, students and professionals in the field of chemistry, electronic engineering, and physics will also find this book useful. Read an interview with the editors to find out more: https://eos.org/editors-vox/a-foundation-for-modeling-time-periodic-groundwater-flow
Download or read book Oscillations and Waves written by Richard Fitzpatrick and published by CRC Press. This book was released on 2018-07-17 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing physics over mathematics, this popular, classroom-tested text helps advanced undergraduates acquire a sound physical understanding of wave phenomena. This second edition of Oscillations and Waves: An Introduction contains new widgets, animations in Python, and exercises, as well as updated chapter content throughout; continuing to ease the difficult transition for students between lower-division courses that mostly encompass algebraic equations and upper-division courses that rely on differential equations. Assuming familiarity with the laws of physics and college-level mathematics, the author covers aspects of optics that crucially depend on the wave-like nature of light, such as wave optics. Examples explore discrete mechanical, optical, and quantum mechanical systems; continuous gases, fluids, and elastic solids; electronic circuits; and electromagnetic waves. The text also introduces the conventional complex representation of oscillations and waves during the discussion of quantum mechanical waves. Features: Fully updated throughout and featuring new widgets, animations, and end of chapter exercises to enhance understanding Offers complete coverage of advanced topics in waves, such as electromagnetic wave propagation through the ionosphere Includes examples from mechanical systems, elastic solids, electronic circuits, optical systems, and other areas
Download or read book Stochastic Wave Propagation written by K. Sobczyk and published by Elsevier. This book was released on 2012-12-02 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise, unified exposition of the existing methods of analysis of linear stochastic waves with particular reference to the most recent results. Both scalar and vector waves are considered. Principal attention is concentrated on wave propagation in stochastic media and wave scattering at stochastic surfaces. However, discussion extends also to various mathematical aspects of stochastic wave equations and problems of modelling stochastic media.
Download or read book Introduction to Phonons and Electrons written by Liang-fu Lou and published by World Scientific. This book was released on 2003 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on phonons and electrons, which the student needs to learn first in solid state physics. The required quantum theory and statistical physics are derived from scratch. Systematic in structure and tutorial in style, the treatment is filled with detailed mathematical steps and physical interpretations. This approach ensures a self-sufficient content for easier teaching and learning. The objective is to introduce the concepts of phonons and electrons in a more rigorous and yet clearer way, so that the student does not need to relearn them in more advanced courses. Examples are the transition from lattice vibrations to phonons and from free electrons to energy bands.The book can be used as the beginning module of a one-year introductory course on solid state physics, and the instructor will have a chance to choose additional topics. Alternatively, it can be taught as a stand-alone text for building the most-needed foundation in just one semester.
Download or read book Mechanics Of Continuous Media In 2 Vols written by L I Sedov and published by World Scientific. This book was released on 1997-06-01 with total page 1365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is written by Academician Sedov who is considered by many as the leading scientist in mechanics in the USSR. This latest fourth edition helps the reader in a relatively short time to master and acquire fully the essence of many geometrical and mechanical theories.
