Descript 
1 online resource (xvii, 513 pages) : digital, PDF file(s) 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
Note 
Title from publisher's bibliographic system (viewed on 05 Oct 2015) 

Introduction: Basic Theory of Surface Waves  Mathematical Formulation  Linearized Unsteady Problem  Linear TimeHarmonic Waves (the WaterWave Problem)  Linear Ship Waves on Calm Water (the NeumannKelvin Problem)  TimeHarmonic Waves  Green's Functions  ThreeDimensional Problems of Point Sources  TwoDimensional and Ring Green's Functions  Green's Representation of a Velocity Potential  Submerged Obstacles  Method of Integral Equations and Kochin's Theorem  Conditions of Uniqueness for All Frequencies  Unique Solvability Theorems  Semisubmerged Bodies  Integral Equations for SurfacePiercing Bodies  John's Theorem on the Unique Solvability and Other Related Theorems  Trapped Waves  Uniqueness Theorems  Horizontally Periodic Trapped Waves  Two Types of Trapped Modes  Edge Waves  Trapped Modes Above Submerged Obstacles  Waves in the Presence of SurfacePiercing Structures  Vertical Cylinders in Channels  Ship Waves on Calm Water  Green's Functions  ThreeDimensional Problem of a Point Source in Deep Water  FarField Behavior of the ThreeDimensional Green's Function  TwoDimensional Problems of Line Sources  The NeumannKelvin Problem for a Submerged Body  Cylinder in Deep Water  Cylinder in Shallow Water  Wave Resistance  ThreeDimensional Body in Deep Water  TwoDimensional Problem for a SurfacePiercing Body  General Linear Supplementary Conditions at the Bow and Stern Points  Total Resistance to the Forward Motion  Other Supplementary Conditions 

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, in turn, uses a plethora of mathematical techniques in the investigation of these three problems. Among the techniques used in the book the reader will find 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. For constructing examples of nonuniqueness usually referred to as 'trapped modes' the socalled inverse procedure is applied. Linear Water Waves will serve as an ideal reference for those working in fluid mechanics, applied mathematics, and engineering 

TAEBDC; 2009 
Link 
Print version: 9780521808538

Subject 
Wavemotion, Theory of


Water waves  Mathematics

Alt Author 
Mazʹi︠a︡, V. G., author


Vaĭnberg, B. R. (Boris Rufimovich), author

