The Wave Diffracted By A Wedge With Mixed Boundary Conditions
Download The Wave Diffracted By A Wedge With Mixed Boundary Conditions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Wave Diffracted By A Wedge With Mixed Boundary Conditions book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Stationary Diffraction by Wedges
This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators. This method turns out to be applicable to many different areas of mathematical physics, in particular to diffraction problems in angles and to the study of trapped modes on a sloping beach. Giving the reader the opportunity to master the techniques of the modern theory of diffraction, the book introduces methods of distributions, complex Fourier transforms, pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann–Hilbert problem. The book will be useful for students, postgraduates and specialists interested in the application of modern mathematics to wave propagation and diffraction problems.
Diffraction by Wedges
The problem of wave diffraction by wedge-shaped structures is important in many applications, including electromagnetics, acoustics and geophysics. Numerous attempts to solve these problems have been made during the last 70 years using both analytical and numerical methods, but this has proved to be very difficult; only a few of the simplest problems of this type have been successfully solved. The difficulties are caused by the nonseparability of variables and the singular behaviour of solutions near the vertex. This Research Note presents a systematic approach allowing the consideration of arbitrary problems of this type and the development of stable numerical algorithms for their solution.
Methods of the Classical Theory of Elastodynamics
Author: Vladimir B. Poruchikov
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
"Methods of the Classical Theory of Elastodynamics" deals not only with classical methods as developed in the past decades, but presents also very recent approaches. Applications and solutions to specific problems serve to illustrate the theoretical presentation. Keywords: Smirnov-Sobolev method with further developments; integral transforms; Wiener-Hopf technique; mixed boundary-value problems; time-dependent boundaries; solutions for unisotropic media (Willis method); 3-d dynamical problems for mixed boundary conditions.