Wave Asymptotics
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Wave Asymptotics
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Author : P. A. Martin
language : en
Publisher: Cambridge University Press
Release Date : 1992-05-29
Wave Asymptotics written by P. A. Martin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-05-29 with Mathematics categories.
This volume contains papers by distinguished researchers in fluid mechanics and asymptotics. The papers collected here outline the development of these topics.
Ship Hydrodynamics Water Waves And Asymptotics
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Author : Fritz Ursell
language : en
Publisher: World Scientific
Release Date : 1994
Ship Hydrodynamics Water Waves And Asymptotics written by Fritz Ursell and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Differential equations, Linear categories.
The Water Waves Problem
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Author : David Lannes
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-05-08
The Water Waves Problem written by David Lannes and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-08 with Mathematics categories.
This monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models.
Asymptotic And Hybrid Methods In Electromagnetics
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Author : I. Andronov
language : en
Publisher: IET
Release Date : 2005-07-18
Asymptotic And Hybrid Methods In Electromagnetics written by I. Andronov and has been published by IET this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-18 with Science categories.
Asymptotic methods provide considerable physical insight and understanding of diffraction mechanisms and are very useful in the design of electromagnetic devices such as radar targets and antennas. However, difficulties can arise when trying to solve problems using multipole and asymoptotic methods together, such as in radar crosssection objects. This new book offers a solution to this problem by combining these approaches into hybrid methods, therefore creating high demand for both understanding and learning how to apply asymptotic and hybrid methods to solve diffraction problems.
Problems Of Wave Diffraction And Propagation No 7
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Author : Ė. M. Gi︠u︡nninen
language : en
Publisher:
Release Date : 1969
Problems Of Wave Diffraction And Propagation No 7 written by Ė. M. Gi︠u︡nninen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Diffraction categories.
Asymptotic Methods In Mechanics Of Solids
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Author : Svetlana M. Bauer
language : en
Publisher: Birkhäuser
Release Date : 2015-05-30
Asymptotic Methods In Mechanics Of Solids written by Svetlana M. Bauer and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-30 with Mathematics categories.
The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a generalization of the Newton polygon for equations with two or more parameters. After introducing the important concept of the index of variation for functions special attention is devoted to eigenvalue problems containing a small parameter. The main part of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary and boundary value problems without or with turning points, respectively. As examples, one-dimensional equilibrium, dynamics and stability problems for rigid bodies and solids are presented in detail. Numerous exercises and examples as well as vast references to the relevant Russian literature not well known for an English speaking reader makes this a indispensable textbook on the topic.
Mathematical Methods Of Classical Mechanics
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Author : V. I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Mathematical Methods Of Classical Mechanics written by V. I. Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifolds, Lie groups and Lie algebras, symplectic geometry and ergodic theory. Many modern mathematical theories arose from problems in mechanics and only later acquired that axiomatic-abstract form which makes them so hard to study. In this book we construct the mathematical apparatus of classical mechanics from the very beginning; thus, the reader is not assumed to have any previous knowledge beyond standard courses in analysis (differential and integral calculus, differential equations), geometry (vector spaces, vectors) and linear algebra (linear operators, quadratic forms). With the help of this apparatus, we examine all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the hamiltonian formalism. The author has tried to show the geometric, qualitative aspect of phenomena. In this respect the book is closer to courses in theoretical mechanics for theoretical physicists than to traditional courses in theoretical mechanics as taught by mathematicians.
Partial Differential Equations V
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Author : M.V. Fedoryuk
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Partial Differential Equations V written by M.V. Fedoryuk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In this paper we shall discuss the construction of formal short-wave asymp totic solutions of problems of mathematical physics. The topic is very broad. It can somewhat conveniently be divided into three parts: 1. Finding the short-wave asymptotics of a rather narrow class of problems, which admit a solution in an explicit form, via formulas that represent this solution. 2. Finding formal asymptotic solutions of equations that describe wave processes by basing them on some ansatz or other. We explain what 2 means. Giving an ansatz is knowing how to give a formula for the desired asymptotic solution in the form of a series or some expression containing a series, where the analytic nature of the terms of these series is indicated up to functions and coefficients that are undetermined at the first stage of consideration. The second stage is to determine these functions and coefficients using a direct substitution of the ansatz in the equation, the boundary conditions and the initial conditions. Sometimes it is necessary to use different ansiitze in different domains, and in the overlapping parts of these domains the formal asymptotic solutions must be asymptotically equivalent (the method of matched asymptotic expansions). The basis for success in the search for formal asymptotic solutions is a suitable choice of ansiitze. The study of the asymptotics of explicit solutions of special model problems allows us to "surmise" what the correct ansiitze are for the general solution.
Water Wave Propagation Over Uneven Bottoms Linear Wave Propagation
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Author : Maarten W. Dingemans
language : en
Publisher: World Scientific
Release Date : 2000
Water Wave Propagation Over Uneven Bottoms Linear Wave Propagation written by Maarten W. Dingemans and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Technology & Engineering categories.
Water Wave Propagation Over Uneven Bottoms In 2 Parts
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Author : Maarten W Dingemans
language : en
Publisher: World Scientific
Release Date : 1997-01-07
Water Wave Propagation Over Uneven Bottoms In 2 Parts written by Maarten W Dingemans and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-07 with Technology & Engineering categories.
The primary objective of this book is to provide a review of techniques available for the problems of wave propagation in regions with uneven beds as they are encountered in coastal areas. The view taken is that the techniques should be useful for application in advisory practice. However, effort is put into a precise definition of the underlying physical principles, so that the validity of the methods used can be evaluated. Both linear and nonlinear wave propagation techniques are discussed. Because of its length, the book comes in two parts: Part 1 covers primarily linear wave propagation, and Part 2 covers nonlinear wave propagation.