Linear Water Waves (Hardcover) (ISBN-13: 9780521808538)

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: N. Kuznetsov,V. Maz'ya,B. Vainberg
ISBN-10: 0521808537
ISBN-13: 9780521808538
Publisher: Cambridge University Press
Language: English
Published: 07/11/2002
Pages: 532
Format: Hardcover
Weight: 2.10lbs
Size: 9.20h x 6.20w x 1.40d