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This book examines the differences between an ideal and a real description of wave propagation, where ideal means an elastic (lossless), isotropic and single-phase medium, and real means an anelastic, anisotropic and multi-phase medium. The analysis starts by introducing the relevant stress-strain relation. This relation and the equations of momentum conservation are combined to give the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is per

Seismic waves. --- Wave-motion, Theory of. --- Undulatory theory --- Mechanics --- Waves, Seismic --- Elastic waves

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This book examines the differences between an ideal and a real description of wave propagation, where ideal means an elastic (lossless), isotropic and single-phase medium, and real means an anelastic, anisotropic and multi-phase medium. The analysis starts by introducing the relevant stress-strain relation. This relation and the equations of momentum conservation are combined to give the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is per

Seismic waves. --- Wave-motion, Theory of. --- Undulatory theory --- Mechanics --- Waves, Seismic --- Elastic waves --- Seismic waves --- Mathematical models.

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Protection of buildings against external influences --- geluidsregistratie --- Electronics --- soundrecording --- Vibrations --- akoestiek --- Sound --- Son --- Electronique --- Electrical engineering --- Physical sciences --- Acoustics --- Continuum mechanics --- Mathematical physics --- Physics --- Pneumatics --- Radiation --- Wave-motion, Theory of

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This 2001 book gives a self-contained exposition of the theory of gravitational solitons and provides a comprehensive review of exact soliton solutions to Einstein's equations. The text begins with a detailed discussion of the extension of the Inverse Scattering Method to the theory of gravitation, starting with pure gravity and then extending it to the coupling of gravity with the electromagnetic field. There follows a systematic review of the gravitational soliton solutions based on their symmetries. These solutions include some of the most interesting in gravitational physics such as those describing inhomogeneous cosmological models, cylindrical waves, the collision of exact gravity waves, and the Schwarzschild and Kerr black holes. A valuable reference for researchers and graduate students in the fields of general relativity, string theory and cosmology, this book will also be of interest to mathematical physicists in general.

Solitons. --- Gravitational waves. --- Gravitational radiation --- Gravity waves (Astrophysics) --- General relativity (Physics) --- Gravitational fields --- Radiation --- Waves --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Nonlinear theories --- Wave-motion, Theory of

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This monograph covers dynamical inverse problems, that is problems whose data are the values of wave fields. It deals with the problem of determination of one or more coefficients of a hyperbolic equation or a system of hyperbolic equations. The desired coefficients are functions of point. Most attention is given to the case where the required functions depend only on one coordinate. The first chapter of the book deals mainly with methods of solution of one-dimensional inverse problems. The second chapter focuses on scalar inverse problems of wave propagation in a layered medium. In the final chapter inverse problems for elasticity equations in stratified media and acoustic equations for moving media are given.

Wave-motion, Theory of. --- Undulatory theory --- Mechanics --- Acoustic Equations. --- Coefficients. --- Determination. --- Dynamical Inverse Problems. --- Elasticity Equations. --- Functions of Point. --- Hyperbolic Equations. --- One-dimensional Inverse Problems. --- Scalar Inverse Problems. --- Wave Fields. --- Wave Propagation.