Linear Water Waves
A Mathematical Approach
Creator  
Publisher 
20020711

ISBN  9780521808538, 0521808537,

Language 
English

Category  
Subject  SCIENCE  Mechanics  Hydrodynamics.  bisacsh Water waves  Mathematics. Water waves  Mathematics.  fast  (OCoLC)fst01172257 Wavemotion, Theory of. Wavemotion, Theory of.  fast  (OCoLC)fst01172888 
Description
This book gives a selfcontained and uptodate 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, tensionleg platforms etc.), the calculation of wavemaking resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with timeharmonic 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 socalled inverse procedure is applied to constructing examples of nonuniqueness, usually referred to as 'trapped nodes.'