This volume contains 35 of the contributions to the international meeting Wave Phenomena: Modern Theory and Applications, held at the University of Toronto, Canada, at the end of June 1983.

A NATO Advanced Study Institute on Nonlinear Functional Analysis and Its Applications was held in Hotel Villa del Mare, Maratea, It.a1y during April 22 - May 3, 1985. This volume consists of the Proceedings of the Institute. These Proceedings include the invited lectures and contributed papers given during the Institute. The papers have been refereed. The aim of these lectures was to bring together recent and up-to-date development of the subject, and to give directions for future research. The main topics covered include: degree and generalized degree theory, results related to Hamiltonian Systems, Fixed Point theory, linear and nonlinear Differential and Partial Differential Equations, Theory of Nielsen Numbers, and applications to Dynamical Systems, Bifurcation Theory, Hamiltonian Systems, Minimax Theory, Heat Equations, Pendulum Equation, Nonlinear Boundary Value Problems, and Dirichlet and Neumann problems for elliptic equations and the periodic Dirichlet problem for semilinear beam equations. I express my sincere thanks to Professors F. E. Browder, R. Conti, A. Do1d, D. E. Edmunds and J. Mawhin members of the Advisory Committee.

This book gives a comprehensive overview of wave phenomena in different media with interacting mechanical, electromagnetic and other fields. Equations describing wave propagation in linear and non-linear elastic media are followed by equations of rheological models, models with internal rotational degrees of freedom and non-local interactions. Equations for coupled fields: thermal, elastic, electromagnetic, piezoelectric, and magneto-spin with adequate boundary conditions are also included. Together with its companion volume Vibrations and Waves. Part A: Vibrations this work provides a wealth of information about dynamical phenomena in different media and fields, which will be of considerable interest to both scientists and graduate students.

This series of volumes constitutes an outstanding collection of contributions by the most active research workers in the area of acoustics and mechanics. It brings the reader up to date on the status of the various aspects of research in this field. The volumes should preserve their value for a long time, as they represent a monument to the achievements of human research capabilities in the underwater-acoustics aspects of the environment. Contents:Scattering from Elliptical Shells — A Unified Approach Applicable to Both Elastic and Fluid Media (R P Radlinski & M M Simon)On the Systematic Use of Spherical, Cylindrical and Plane Vector Wave Functions in Elastodynamic Scattering Problems (A Boström)Computational Modeling of Transient Acoustic Wavefields — A Structured Approach Based on Reciprocity (A T de Hoop)Linear Viscoelasticity (F Mainardi)Transient Waves in Linear Viscoelastic Media (F Mainardi)Computational Ocean-Seismoacoustic Modeling Using Finite Elements (J E Murphy & S A Chin-Bing)Nonorthogonality of Measured Normal Modes in a Shallow Water Waveguide (G H Rayborn et al.)Nearfield Acoustical Holography (A Sarkissian)Elimination of Internal Resonance Effects in Acoustic Scattering from Cylinders Using Method of Moments (S P Sun & P K Raju)Pulsed Asymmetric Point Force Loading of a Layered Half-Space (P Borejko & F Ziegler)Nonlinear Stability Analysis of Pre-Stressed Elastic Bodies (Y B Fu & R W Ogden) Readership: Nonlinear scientists. Keywords:Reviews:“… Überall's work in acoustic and electromagnetic scattering has evoked much interest, in the US as well as abroad, because of its possible practical applications, as well as the theoretical understanding. Many collaborators have been inspired by it, and have now contributed to this volume. The book is an excellent contribution to the literature of Acoustics and Wave Propagation. Professor Guran is to be congratulated for organizing and editing this volume.”Prof. Hans A Bethe, Nobel Laureate Cornell University “… This is an impressive collection of 45 research and review chapters involving 78 authors. Taking into account the high educational quality and research value of this set of books, it is recommended for purchase by libraries that serves research programs involved with acoustic scattering related to underwater and ultrasonics.”Professor Philip Marston Journal of the Acoustical Society of America

This special issue contains contributions presented at the international workshop Seismic Waves in Laterally Inhomogeneous Media V, which was held at the Castle of Zahrádky, Czech Republic, June 5 - 9, 2000. The workshop, which was attended by about 60 seismologists from 16 countries, was devoted mainly to the current state of theoretical and computational means of study of seismic wave propagation in complex structures. The special issue begins with papers dealing with the study and the application of the ray methods. Problems such as coupling of quasi-shear waves or smoothing of models for effective ray computations are dealt with. Applications of the ray methods in seismic exploration are presented. Further, directional wavefield decomposition, phase space, path integral and parabolic equation methods are discussed. Attention is also devoted to attenuation and scattering problems, and to seismic inversion problems.

This textbook provides a modern introduction to wave theory and its applications to physical phenomena such as deep water waves, transmission lines, elasticity, and traffic flow. The author presents a broad coverage of the subject, including numerous exercises. Each of the main topics is described in detail with examples of their applications. These topics include the classical wave equation, dispersion, dissipation, interconnected waves, diffusive waves, and first and second order non-linear waves. The special attention paid to non-linear and elastic waves represents a major strength of the text, along with its inclusion of an entire chapter devoted to the use of characteristics and asymptotic expansions. Intended for advanced undergraduates, the book will also be of interest to instructors in mathematics, physics and engineering courses.