Download or read book U S Government Research Reports written by and published by . This book was released on 1964 with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Expansions of Solutions of Initial Boundary Value Problems for a Dispersive Hyperbolic Equation Classic Reprint written by Norman Bleistein and published by Forgotten Books. This book was released on 2018-10-10 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Asymptotic Expansions of Solutions of Initial-Boundary Value Problems for a Dispersive Hyperbolic Equation Recently, the ray method has been applied to time dependent problems and in particular, dispersive hyperbolic equations A particular equation of this type, the klein-gordon equation, may be used to describe the propagation of electromagnetic waves in certain plasmas Initial-boundary value problems for this equation are presently being studied, since it is the simplest example of a large class of dispersive hyperbolic equations. As of now, there is no general proof that the ray method actually yields the asymptotic expansion of the exact solution. The purpose of the research in this paper is to compare the leading term of the asymptotic expansion of the exact solution and the ray solution for particular problems. The results are shown to agree and thereby add to the overwhelming evidence that the ray method is valid. We consider initial - boundary value problems in two space dimensions for the klein-gordon equation. The boundary is a parabola and.we require that the solution satisfy a homogeneous condition. The total solution is assumed to consist of a sum of a primary field and a reflected field. The associated rays are called primary and reflected rays and are straight lines in space time. The primary field must satisfy the equation and the initial conditions. The reflected field is taken to be zero initially and is determined at the boundary in such a way that the total solution satisfies the given boundary condition. The primary rays are emitted from the plane t O in space-time. For each primary ray incident on the boundary, a reflected ray is produced. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Analysis for Periodic Structures written by G. Papanicolau and published by Elsevier. This book was released on 1978-01-01 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic Analysis for Periodic Structures

Download or read book Electromagnetic Wave Theory written by J. C. Brown and published by Elsevier. This book was released on 2013-10-22 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electromagnetic Wave Theory, Part 2 contains the proceedings of a Symposium on Electromagnetic Wave Theory held at Delft, The Netherlands in September 1965. The symposium provided a forum for discussing electromagnetic wave theory and tackled a wide range of topics, from propagation in nonlinear media to electromagnetic wave propagation and amplification in solid-state plasmas. Electromagnetic waves in nonlinear transmission lines with active parameters are also considered, along with the phase dependence of maser active material Q-factor on pump intensity and frequency. Comprised of four sections, this volume begins with an analysis of two modes of propagation that are coupled through parametric modulation in nonlinear media. The discussion then turns to symmetry restrictions in nonlinear, non-absorbing, non-dispersive media; nonlinear interaction between two beams of plane electromagnetic waves in an anisotropic medium; radiation in periodically non-stationary media; and electromagnetic wave propagation in time-varying media. Subsequent chapters explore the diffraction of electromagnetic waves by plasma structures; resonant electromagnetic scattering from gyrotropic plasmas; scattering and transmission of electromagnetic waves at a statistically rough boundary between two dielectric media; and developments in wavefront reconstruction. This book will be useful for students, practitioners, and researchers in physics.

Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on 1967 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Solutions of Differential Equations and Their Applications written by Calvin Hayden Wilcox and published by . This book was released on 1964 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Cumulative Computer Abstracts written by Geoffrey Knight and published by . This book was released on 1968 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government wide Index to Federal Research Development Reports written by and published by . This book was released on 1967 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Army Research and Development written by and published by . This book was released on with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Army RD A written by and published by . This book was released on 1964 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1966 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains articles of significant interest to mathematicians, including reports on current mathematical research.

Download or read book Blow up for Higher Order Parabolic Hyperbolic Dispersion and Schrodinger Equations written by Victor A. Galaktionov and published by CRC Press. This book was released on 2014-09-22 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book

Download or read book Philosophical Transactions of the Royal Society of London written by and published by . This book was released on 1968 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Research Report written by Courant Institute of Mathematical Sciences. Division of Electromagnetic Research and published by . This book was released on 1965 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: