[PDF] Exact Solutions For Linear Water Wave Scattering By A Patch Of Finite Amplitude Periodic Corrugations On A Seabed eBook

Author : Birendra Nath Mandal
Publisher : CRC Press
Page : 375 pages
File Size : 38,63 MB
Release : 2015-05-21
Category : Mathematics
ISBN : 1498705537

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The theory of water waves is most varied and is a fascinating topic. It includes a wide range of natural phenomena in oceans, rivers, and lakes. It is mostly concerned with elucidation of some general aspects of wave motion including the prediction of behaviour of waves in the presence of obstacles of some special configurations that are of interes

Author : Massimiliano Berti
Publisher : American Mathematical Soc.
Page : 171 pages
File Size : 50,63 MB
Release : 2020-04-03
Category : Education
ISBN : 1470440695

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The authors prove the existence and the linear stability of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and even in the space variable x) of a 2-dimensional ocean with infinite depth under the action of gravity and surface tension. Such an existence result is obtained for all the values of the surface tension belonging to a Borel set of asymptotically full Lebesgue measure.

Author : Nikolaĭ Germanovich Kuznet︠s︡ov
Publisher : Cambridge University Press
Page : 528 pages
File Size : 42,66 MB
Release : 2002-07-11
Category : Mathematics
ISBN : 9780521808538

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This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with time-harmonic waves. Three linear boundary value problems serve as the approximate mathematical models for these types of water waves. The next section uses a plethora of mathematical techniques in the investigation of these three problems. The techniques used in the book include integral equations based on Green's functions, various inequalities between the kinetic and potential energy and integral identities which are indispensable for proving the uniqueness theorems. The so-called inverse procedure is applied to constructing examples of non-uniqueness, usually referred to as 'trapped nodes.'

Author : M. W. Dingemans
Publisher : World Scientific
Page : 1015 pages
File Size : 38,41 MB
Release : 1997
Category : Technology & Engineering
ISBN : 9810204272

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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 covering primarily linear wave propagation, and part 2 covering on nonlinear wave propagation.

Author : Alexander G. Ramm
Publisher : World Scientific
Page : 314 pages
File Size : 27,19 MB
Release : 2005
Category : Technology & Engineering
ISBN : 9812561862

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This book presents analytical formulas which allow one to calculate the S-matrix for the acoustic and electromagnetic wave scattering by small bodies or arbitrary shapes with arbitrary accuracy. Equations for the self-consistent field in media consisting of many small bodies are derived. Applications of these results to ultrasound mammography and electrical engineering are considered.The above formulas are not available in the works of other authors. Their derivation is based on a mathematical theory for solving integral equations of electrostatics, magnetostatics, and other static fields. These equations are at a simple characteristic value. Convergent iterative processes are constructed for stable solution of these equations. The theory completes the classical work of Rayleigh on scattering by small bodies by providing analytical formulas for polarizability tensors for bodies of arbitrary shapes.

Author : B. N. Mandal
Publisher : Computational Mechanics
Page : 414 pages
File Size : 37,39 MB
Release : 2000
Category : Science
ISBN :

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In this unique volume the authors review the development of the subject, virtually from its inception. Details of much of the research work carded out in the linearized theory of water waves concerning problems of water wave scattering by barriers is incorporated.