000			04078nam a22003618i 4500
001			CR9780511546778
003			UkCbUP
005			20200124160330.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090508s2002||||enk o ||1 0|eng|d
020			_a9780511546778 (ebook)
020			_z9780521808538 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA927 _b.K89 2002
082	0	0	_a532/.593 _221
100	1		_aKuznet︠s︡ov, N. G. _q(Nikolaĭ Germanovich), _eauthor.
245	1	0	_aLinear water waves : _ba mathematical approach / _cN. Kuznetsov, V. Mazʹya, B. Vainberg.
264		1	_aCambridge : _bCambridge University Press, _c2002.
300			_a1 online resource (xvii, 513 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_tIntroduction: Basic Theory of Surface Waves -- _tMathematical Formulation -- _tLinearized Unsteady Problem -- _tLinear Time-Harmonic Waves (the Water-Wave Problem) -- _tLinear Ship Waves on Calm Water (the Neumann-Kelvin Problem) -- _tTime-Harmonic Waves -- _tGreen's Functions -- _tThree-Dimensional Problems of Point Sources -- _tTwo-Dimensional and Ring Green's Functions -- _tGreen's Representation of a Velocity Potential -- _tSubmerged Obstacles -- _tMethod of Integral Equations and Kochin's Theorem -- _tConditions of Uniqueness for All Frequencies -- _tUnique Solvability Theorems -- _tSemisubmerged Bodies -- _tIntegral Equations for Surface-Piercing Bodies -- _tJohn's Theorem on the Unique Solvability and Other Related Theorems -- _tTrapped Waves -- _tUniqueness Theorems -- _tHorizontally Periodic Trapped Waves -- _tTwo Types of Trapped Modes -- _tEdge Waves -- _tTrapped Modes Above Submerged Obstacles -- _tWaves in the Presence of Surface-Piercing Structures -- _tVertical Cylinders in Channels -- _tShip Waves on Calm Water -- _tGreen's Functions -- _tThree-Dimensional Problem of a Point Source in Deep Water -- _tFar-Field Behavior of the Three-Dimensional Green's Function -- _tTwo-Dimensional Problems of Line Sources -- _tThe Neumann-Kelvin Problem for a Submerged Body -- _tCylinder in Deep Water -- _tCylinder in Shallow Water -- _tWave Resistance -- _tThree-Dimensional Body in Deep Water -- _tTwo-Dimensional Problem for a Surface-Piercing Body -- _tGeneral Linear Supplementary Conditions at the Bow and Stern Points -- _tTotal Resistance to the Forward Motion -- _tOther Supplementary Conditions.
520			_aThis 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.
650		0	_aWave-motion, Theory of.
650		0	_aWater waves _xMathematics.
700	1		_aMazʹi︠a︡, V. G., _eauthor.
700	1		_aVaĭnberg, B. R. _q(Boris Rufimovich), _eauthor.
776	0	8	_iPrint version: _z9780521808538
856	4	0	_uhttps://doi.org/10.1017/CBO9780511546778
999			_c522475 _d522473