Linear Water Waves: A Mathematical Approach by N. KuznetsovLinear Water Waves: A Mathematical Approach by N. Kuznetsov

Linear Water Waves: A Mathematical Approach

byN. Kuznetsov, V. Mazya, B. Vainberg

Hardcover | August 19, 2002

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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.'
Title:Linear Water Waves: A Mathematical ApproachFormat:HardcoverPublished:August 19, 2002Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521808537

ISBN - 13:9780521808538

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Table of Contents

Preface; Part I. Time-Harmonic Waves: 1. Green's functions; 2. Submerged obstacles; 3. Semisubmerged bodies, I; 4. Semisubmerged bodies, II; 5. Horizontally-periodic trapped waves; Part II. Ship Waves on Calm Water: 6. Green's functions; 7. The Neumann-Kelvin problem; 8. Two-dimensional problem; Part III. Unsteady Waves: 9. Submerged obstacles: existence; 10. Waves due to rapidly stabilizing and high-frequency disturbances; Bibliography; Name index; Subject index.

Editorial Reviews

"This work provides a self-contained and up-to-date...reference for those working in fluid mechanics and engineering." Mechanical Engineering