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5 edition of Wave asymptotics found in the catalog.

Wave asymptotics

the proceedings of the meeting to mark the retirement of Professor Fritz Ursell from the Beyer Chair of Applied Mathematics in the University of Manchester

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Published by Cambridge University Press in Cambridge [England], New York .
Written in English

    Subjects:
  • Water waves -- Congresses.,
  • Differential equations, Linear -- Asymptotic theory -- Congresses.

  • Edition Notes

    Statementedited by P.A. Martin, G.R. Wickham.
    ContributionsUrsell, Fritz, 1923-, Martin, P. A., Wickham, G. R.
    Classifications
    LC ClassificationsTC172 .W38 1992
    The Physical Object
    Paginationxii, 244 p. :
    Number of Pages244
    ID Numbers
    Open LibraryOL1556411M
    ISBN 100521414148
    LC Control Number91036847

    Among the topics are the Laplace equation, the well-posedness of the water waves equations, shallow water asymptotics, deep water models and modulation equations, and water waves with surface tension. ([c] Book News, Inc., Portland, OR). Once we have constructed such an asymptotic solution, we would like to know that there is an exact solution x= x"of () that is close to the asymptotic solution when .

    gral. — Short-wave asymptotics. — The wave equation. 4. The wizardry of quantization (25) Classical and quantum observables. — Time-dependent hamil-tonians. — Schro¨dinger equations. — Determinism vs. random-ness. 5. One degree of freedom (31) A free particle, phase and group velocities, wave packets, and the Fourier transform. Asymptotics for the long-time evolution of kurtosis of narrow-band ocean waves. this book discusses ocean wave evolution in accordance with the energy balance equation. An extensive overview.

    Multiple wave resonances Long wave asymptotics. The Boussinesq equation and. the Korteweg-de Vries equation § Waves in Molecular Chains The Fermi-Pasta-Ulam model Derivation of the cubic nonlinear Schr¨odinger equation Derivation of the Boussinesq and Kortewegde. Vries. The long and short-wave asymptotics of order O (η 6), η = kh ⁠, for free extensional vibrations of an infinite isotropic elastic plate are mollycmorin.com asymptotic model for flexural and extensional wave motion applicable for both long and short-wave approximations and for any materials is mollycmorin.com by:


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Wave asymptotics Download PDF EPUB FB2

This book is an introduction to the perturbation theory for linear and nonlinear waves in dispersive and dissipative media. The main focus is on the direct asymptotic method which is based on the asymptotic expansion of the solution in series of one or more small parameters and demanding finiteness of the perturbations; this results in slow variation of the main-order solution.

In the introductory paper ``Quantization and Intrinsic Dynamics'' a relationship Wave asymptotics book quantization of symplectic manifolds and nonlinear wave equations is described and discussed from the viewpoint of the weak asymptotics method (asymptotics in distributions) and the semiclassical approximation method.

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Abstract The present work discusses the asymptotic behavior of anisotropic wave systems stimulated by oscillating sources, the applications of uniform asymptotics of oscillating integrals in chemical physics, approximations and asymptotics, converging factors, and matched asymptotic methods in.

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The book should be of interest to graduate students and researchers looking for an introduction to water waves equations or for simple asymptotic models to describe the propagation of waves.

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Create mathematical analysis and asymptotics a schema:Book. Mathematical Methods of Classical Mechanics is a classic graduate textbook by the eminent mathematician Vladimir I. mollycmorin.com was originally written in Russian, but was translated into English by A.

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As is to be expected from a textbook on applied asymptotic analysis, it presents the usual techniques for the asymptotic evaluation of integrals and differential equations. We study Gaussian wave beam and wave packet types of solutions to the linearized cold plasma system in a toroidal domain (tokamak).

Such solutions are constructed with help of Maslov’s complex germ theory (short-wave or semi-classical asymptotics with complex phases). The term “semi-classical” asymptotics is understood in a broad sense: asymptotic solutions of evolutionary and stationary Author: Anatoly Yu. Anikin, Sergey Yu.

Dobrokhotov, Alexander I. Klevin, Brunello Tirozzi. The appendices to this book are devoted to a few of these connections. The apparatus of classical mechanics is applied to: the foundations of riemannian geometry, the dynamics of an ideal fluid, Kolmogorov's theory of perturbations of conditionally periodic motion, short-wave asymptotics for equations of mathematical.

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Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics book. Read reviews from world’s largest community for readers if a physical sys Ratings: 0. Low and High Frequency Asymptotics Acoustic, Electromagnetic and Elastic Wave Scattering.

Edited by V.K. VARADAN, V.V. VARADAN. Volume 2, Pages () Book chapter Full text access Chapter 2 - Matched Asymptotic Expansions Applied to Diffraction of Elastic Waves. For a first book, I very much enjoyed Introduction to Wave Phenomena, By Hirose.

This book uses very simple English to introduce waves at a level appropriate for a 2nd or 3rd year undergraduate. As a non-traditional physics graduate student, this book took me a week or so to master, and was very enjoyable. This book, the first printing a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics.Jan 01,  · Ship Hydrodynamics: This work is mainly concerned with ships at zero forward speed.

It includes the author's pioneering work on the frequency dependence of virtual mass and damping, and his contributions to such topics as slender-body theory, decay of the free motion of .He has been full professor for Theoretical Physics in Freiburg since His research interests include particle theory and quantum field theory, in particular geometrical and topological methods: symplectic geometry, quantization theory, classical limit and short wave asymptotics.