ENGLISH

Linear water waves: a mathematical approach

By N. Kuznetsov , V. Maz'ya , B. Vainberg

Book information

Publisher
Cambridge University Press
Year
2002
ISBN
0521808537, 9780521808538
Open Library ID
OL18177527M
Language
english
Format
DJVU
Filesize
10 MB (10078149 bytes)
Edition
1
Pages
266\266
Library
Kingdwarf
Time added
2014-10-05 02:30:00

Description

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.'

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