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Mathematical problems in wave propagation theory

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Published by Consultants Bureau in New York .
Written in English

Subjects:

  • Wave-motion, Theory of.

Book details:

Edition Notes

Statementedited by V.M. Babich ; translated from Russian.
SeriesSeminars in mathematics / V.A. Steklov Mathematical Institute, Leningrad ; v. 9, etc., Seminars in mathematics ;, v. 9, etc.
ContributionsBabich, V. M., ed.
Classifications
LC ClassificationsQA927 .M313
The Physical Object
Pagination v :
ID Numbers
Open LibraryOL4410411M
ISBN 100306188090, 0306188155
LC Control Number79013851
OCLC/WorldCa10048503

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Taking a medium-by-medium approach, Julian Davis explains the mathematics needed to understand wave propagation in inviscid and viscous fluids, elastic solids, viscoelastic solids, and thermoelastic media, including hyperbolic partial differential equations and characteristics theory, which makes possible geometric solutions to nonlinear wave problems. Additional Physical Format: Online version: Matematicheskie voprosy teorii rasprostranenii︠a︡ voln. English. Mathematical problems in wave propagation theory. Get this from a library! Mathematical problems in wave propagation theory. [V M Babich;]. Taking a medium-by-medium approach, Julian Davis explains the mathematics needed to understand wave propagation in inviscid and viscous fluids, elastic solids, viscoelastic solids, and thermoelastic media, including hyperbolic partial differential equations and characteristics theory, which makes possible geometric solutions to nonlinear wave : $

This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results.   In summary, Mathematics of Wave Propagation is an excellent book that covers seemingly diverse wave phenomena in a unified, coherent manner. Students and practicing engineers and physicists will find this book a useful addition to their collections. The papers contained in this volume provide an overview of recent research related to the mathematical aspects of the wave propagation theory. Topics discussed include modeling of scatter at a crack in an elastic plate using a zero-radius potential, elastic wave diffraction by wedge-shaped structures, asymptotic analysis of the volt-ampere characteristics of the Josephson junction, and. of problems in different areas. Waves on beaches together with ramifi-cations to islands, tsunamis, etc., is also a very active fiel d of research. In any current course on wave propagation, it seemed essential to mention, at least, the quite amazing results being found on exact, solu-tions for the Korteweg-de Vries equation and related.

Russian Mathematical Surveys Topological problems of the theory of wave propagation To cite this article: V I Arnold Russ. Math. Surv. 51 1 View the article online for updates and enhancements. Related content The geometry of spherical curves and the algebra of quaternions Vladimir I Arnol'd-Singularities of systems of rays Vladimir I Arnol'd-. The seminar, now run by O. A. Ladyzhenskaya, was initiated in by V. I. Smirnov, to whose memory this volume is dedicated. The papers in the collection are devoted mainly to wave propagation processes, scattering theory, integrability of nonlinear equations, and related problems of spectral theory of differential and integral operators. ~~ Best Book Inverse Problems In Wave Propagation The Ima Volumes In Mathematics And Its Applications ~~ Uploaded By C. S. Lewis, inverse problems in wave propagation the ima volumes in mathematics and its applications sep 15 posted by anne rice public library text id f88f87a1 online pdf ebook epub library sacks editor. The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation .