TY - BOOK ID - 77860510 TI - Linear water waves : a mathematical approach AU - Kuznetsov, N. G. AU - Mazia, V. G. AU - Vainberg, B. R. PY - 2002 SN - 1107124808 1280430478 9786610430475 0511177143 0511041969 0511158068 0511546777 051132992X 0511044690 9780511041969 9780511044694 9780511546778 9780521808538 0521808537 9781280430473 0521808537 9781107124806 6610430470 9780511177149 9780511158063 PB - Cambridge ; New York : Cambridge University Press, DB - UniCat KW - Wave-motion, Theory of. KW - Water waves KW - Breakers KW - Surface waves (Water) KW - Hydrodynamics KW - Waves KW - Wind waves KW - Undulatory theory KW - Mechanics KW - Mathematics. UR - https://www.unicat.be/uniCat?func=search&query=sysid:77860510 AB - 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, 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 non-uniqueness usually referred to as 'trapped modes' the so-called inverse procedure is applied. Linear Water Waves will serve as an ideal reference for those working in fluid mechanics, applied mathematics, and engineering. ER -