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Linear Water Waves PDF

533 Pages·2002·3.463 MB·English
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by N. Kuznetsov V. Maz'ya B. Vainberg| 2002| 533 pages| 3.463| English

About Linear Water Waves

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.'

Detailed Information

Author:N. Kuznetsov V. Maz'ya B. Vainberg
Publication Year:2002
ISBN:9780511041969
Pages:533
Language:English
File Size:3.463
Format:PDF
Price:FREE
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